TSIA2- Chapter 7 – Probabilistic and Statistical Reasoning – Question Set 1

#1. Bar chart showing sales by quarter: Q1=45000, Q2=52000, Q3=48000, Q4=61000. What is the approximate percentage increase from Q1 to Q4?

37%

36%

38%

35%

#2. A store’s monthly revenue: Jan 8500, Feb 9200, Mar 8900, Apr 10100, May 11300. How much did revenue increase from Feb to May?

2700

2500

2100

2300

#3. Student test scores: 12 scored 80-89, 18 scored 90-99, 5 scored 70-79, 3 scored 60-69. How many total students?

38

42

40

36

#4. Website traffic by day: Mon 3200, Tue 3800, Wed 3500, Thu 4200, Fri 4600 visits. What is the median?

3800

4000

3500

4200

#5. Gym membership by location: Downtown 450, Midtown 620, Uptown 580, Suburbs 410. What percentage at Midtown?

31%

35%

40%

25%

#6. Temperature changes: Mon 72F, Tue 75F, Wed 78F, Thu 76F, Fri 80F. What is the average?

76.4F

76.8F

76.6F

76.2F

#7. Stock price over 5 days: 24, 26, 25, 28, 30. What is the overall trend?

Increasing

Constant

Decreasing

Fluctuating randomly

#8. Website subscribers: Week 1=1000, Week 2=1500, Week 3=2100, Week 4=2800. Approximate Week 5?

3600

4000

3400

3800

#9. Monthly rainfall: Jan 3.2in, Feb 2.8in, Mar 4.1in, Apr 3.5in, May 5.0in, Jun 4.6in. Greatest decrease between?

Jan-Feb

Apr-May

Feb-Mar

May-Jun

#10. Daily app downloads over 6 days: 450, 520, 480, 610, 590, 680. Average daily downloads?

575

585

555

565

#11. Budget allocation pie chart: Housing 30%, Food 20%, Transport 15%, Entertainment 10%, Savings 25%. Housing allocation from 2000 budget?

600

500

700

400

#12. College enrollment by major: Engineering 28%, Business 24%, Science 19%, Liberal Arts 18%, Other 11%. Engineers in 5000 students?

1500

1400

1300

1200

#13. Survey results: Car 45%, Bus 25%, Bike 18%, Walk 12%. Walkers from 400 surveyed?

54

42

36

48

#14. Company employees by dept: Sales 32%, IT 26%, HR 15%, Finance 17%, Operations 10%. IT workers in 200 employees?

54

56

52

50

#15. Vacation preferences: Beach 35%, Mountains 28%, City 22%, Camping 15%. Beach lovers from 1000 surveyed?

340

350

370

360

#16. Scatter plot study hours vs test scores: 5 hrs=78, 8 hrs=89. Expected score after 10 hrs?

102

95

100

97

#17. Experience vs salary scatter: Yrs 2,3,5,6,8,10 Salary 35k,40k,50k,55k,65k,75k. Positive correlation?

Weak neg

No relation

Strong pos

No

#18. Age vs reaction time: Age 20=200ms, 30=250ms, 50=300ms, 70=350ms. What is the trend?

Neg corr

Circular

Pos corr

No corr

#19. Advertising vs sales scatter: Spend 1k,2k,3k,4k,5k Sales 10k,18k,27k,35k,44k. Best description?

Negative

Strong pos

Weak pos

No rel

#20. House size vs price: 1200/250k, 1500/290k, 1800/340k, 2100/385k, 2400/430k. Relationship?

Not corr

Weak pos

Strong pos

Decreasing

#21. Box plot: Min 15, Q1 25, Median 35, Q3 45, Max 60. Interquartile range?

15

25

35

20

#22. Box plot analysis: Lower quartile 40, upper quartile 70. Middle 50% data location?

40-70

40 and 70

70-100

0-40

#23. Five-number summary: Min 10, Q1 20, Median 30, Q3 45, Max 80. Is 85 an outlier?

No outliers exist

No in range

Maybe check IQR

Yes above max

#24. Test score box plot: Min 55, Q1 70, Med 78, Q3 85, Max 95. Data shape?

Symmetric

Bimodal

Skewed left

Skewed right

#25. Two class comparison: Class A IQR=15, Class B IQR=25. More consistent scores?

Same

Class A

Class B

Cannot tell

#26. Stem-and-leaf: 2|3 5 7, 3|1 4 6 8, 4|2 5, 5|0 3. How many data values?

11

13

10

12

#27. Stem-and-leaf: 1|2 4 5 8, 2|1 3 6 9, 3|0 5. What is the median?

26

25

24

23

#28. Data stem-and-leaf: 6|1 3 7, 7|0 2 4 5 8, 8|1 6. What is the range?

26

28

25

27

#29. Stem-and-leaf: 3|2 5, 4|1 3 4 7, 5|0 2 6 8, 6|3. Values between 40-59?

11

9

8

10

#30. Back-to-back stem plots Class A: 7|5 6 8, 8|2 4 7, 9|1 3. Class B: 6|1 4, 7|3 5 9, 8|0 4 6. Which class better?

A

B

Same

Cannot

#31. Product A sales: Q1=12k, Q2=15k, Q3=18k, Q4=22k. Greatest growth rate quarter?

Q3-Q4

Q1-Q2

Q2-Q4

Q2-Q3

#32. Age distribution: 20-29: 450, 30-39: 520, 40-49: 480, 50+: 350. Percentage 40+?

35%

50%

45%

40%

#33. Survey: Email 35%, Phone 28%, Text 22%, In-person 15%. Of 2000 surveyed Email or Phone?

1060

1120

1180

1260

#34. Brand A: 2000 sales 35% return. Brand B: 3000 sales 22% return. Fewer returns?

B

Cannot

A

Same

#35. Restaurant visits: Jan 450, Feb 520, Mar 485, Apr 610, May 550, Jun 595. Median?

552.5

555

535

570

#36. Five measurements: 8k, 12k, 15k, 19k, 25k. What is the range?

7k

17k

25k

4k

#37. Data table: Product X 1200 units, Product Y 950 units, Product Z 1100 units. Total?

3300

3250

3350

3400

#38. Sales comparison Q1 vs Q2: Q1 30000, Q2 37500. Percentage increase?

20%

25%

22.5%

30%

#39. Profit margin data: Product A 35%, B 42%, C 38%, D 45%. Highest margin?

B

A

D

C

#40. Enrollment trend: 2020: 5000, 2021: 5500, 2022: 6000, 2023: 6500. Linear increase?

Cannot determine

No

Maybe

Yes

#41. Survey response rate: Online 45%, Phone 28%, Mail 17%, In-person 10%. Most common?

In-person

Phone

Online

Mail

#42. Production by shift: Morning 450, Afternoon 520, Night 480. Average per shift?

484

483.3

483

490

#43. Test performance: 95th percentile score is 92. This means 95% scored below 92?

Unclear

False

Depends

True

#44. Data spread: Range 50, IQR 20. Data is likely distributed how?

Unknown

Clustered

Moderate

Spread

#45. Class sizes: Section A 28, B 32, C 25, D 30. Average class size?

28.75

28

30

29

#46. Quarterly performance: Q1 85%, Q2 88%, Q3 91%, Q4 94%. Trend type?

Decrease

Linear increase

Constant

Exponential

#47. Survey demographics: 55% female 45% male. In 2000 people how many male?

1100

900

1000

800

#48. Store traffic by hour: 8am-400, 10am-520, 12pm-680, 2pm-550, 4pm-420. Peak?

10am

12pm

8am

2pm

#49. Test scores: 78, 82, 85, 88, 92. What is the mean?

86

82

84

85

#50. Data set: 15, 22, 18, 25, 20. Calculate the mean.

19

20

21

18

#51. Five students scored: 91, 87, 92, 88, 86. Average score?

90

88.8

89

88

#52. Stock prices: 24, 28, 26, 30, 32. Mean price?

27

29

28

26

#53. Rainfall: 2.1in, 3.4in, 2.8in, 4.2in, 2.5in. Mean rainfall?

2.9in

3.2in

3.1in

3.0in

#54. Data set: 12, 15, 18, 21, 24. What is the median?

15

21

24

18

#55. Ordered scores: 65, 72, 78, 85, 92, 98. Median?

82

78

85

81.5

#56. Ages: 22, 25, 28, 35, 40, 45, 52. Median age?

35

38

36

37

#57. Seven test scores: 70, 75, 80, 82, 85, 90, 95. Median?

80

81

82

83

#58. Prices: 5, 12, 8, 15, 10, 13, 18, 20. Median price?

13.50

14

14.50

13

#59. Data: 5, 8, 5, 12, 5, 15, 8, 20. Mode?

12

15

8

5

#60. Scores: 78, 82, 78, 85, 82, 78, 90, 82. Mode?

85

78

80

82

#61. Ages: 25, 30, 25, 35, 25, 40, 30. Mode?

30

35

40

25

#62. Test results: 88, 92, 88, 95, 88, 92, 100. Mode?

100

95

88

92

#63. Shoe sizes: 8, 9, 8, 10, 8, 9, 11, 9. Mode?

9

9.5

8

8.5

#64. Data: 10, 12, 15, 18, 22, 25, 28. Range?

13

15

20

18

#65. Scores: 55, 72, 78, 85, 91, 98, 102. Range?

102

30

55

47

#66. House prices: 150k, 200k, 210k, 220k, 225k, 500k. Is 500k an outlier?

Maybe

Yes

No

Cannot tell

#67. Test scores: 78, 80, 82, 85, 88, 90, 15. Outlier?

88

15

78

82

#68. Monthly sales: 5k, 6k, 7k, 8k, 9k, 50k. Likely outlier?

All normal

9k

50k

5k

#69. Dataset with 1, 2, 3, 4, 100. Best central tendency measure?

Mean

Range

Median

Mode

#70. Survey responses: excellent, good, good, fair, good, poor. Best center?

Median

Mean

Mode

Range

#71. Salaries: 40k, 45k, 50k, 55k, 1000k. Most representative?

Mode

Median

Range

Mean

#72. Grades: 78, 78, 78, 80, 82, 85, 90. Typical grade?

82

85

78

83

#73. When data skewed by extremes best measure?

Mode

Std Dev

Mean

Median

#74. Student scores: 85, 90, 78, 92. Next score for 88 average?

95

93

96

94

#75. Five workers produced: 120, 135, 128, 142, ?. Average 132 missing value?

145

130

135

140

#76. Four test scores average 82. Three are 80, 85, 78. Fourth score?

83

85

81

79

#77. Six numbers mean 75. Five are 70, 72, 75, 80, 85. Sixth number?

70

78

73

68

#78. Team average 85 pts/game over 20 games total points?

1600

1700

1800

1500

#79. Seven measurements: 12, 14, 16, 18, 20, 22, ?. Median 18 value?

Any 18+

Any value

Must be 18

Must be 20

#80. Five numbers ordered: 10, 15, x, 30, 35. Median 25 x value?

27

20

30

25

#81. Eight values median 50. Middle two 48 and 52. Consistent because median?

52

48

60

50

#82. Nine values median at which position when ordered?

4th

6th

5th

7th

#83. Income comparison population median better than mean why?

Easier

Never affected

Less affected

Always larger

#84. GPS tracking average speed 60 mph over 300 miles time taken?

6 hrs

7 hrs

4 hrs

5 hrs

#85. Temperatures: 68, 72, 75, 71, 70. Mean temperature?

73

72

71

71.2

#86. Data points: 100, 110, 90, 100, 100. Mode?

100

110

90

105

#87. Monthly expenses: 1200, 1500, 1300, 1400, 1500. Median?

1350

1300

1400

1450

#88. Quiz scores: 92, 85, 88, 92, 95, 92. Mode?

88

95

92

85

#89. Weights in kg: 65, 70, 68, 75, 72. Range?

20

15

5

10

#90. Data: 45, 50, 52, 48, 55. Mean?

50

48

51

49

#91. Values: 200, 250, 300, 350, 400. Median?

400

250

350

300

#92. Dataset: 5, 10, 5, 15, 5, 20. Mode?

20

15

10

5

#93. Ages: 18, 22, 20, 25, 19. Mean?

22

20.8

20

21

#94. Daily sales: 500, 600, 550, 650, 700. Average?

580

600

610

590

#95. Bank balance monthly: 1200, 1500, 1100, 1400, 1300. Median balance?

1200

1500

1400

1300

#96. A die is rolled. Probability of rolling a 4?

1/4

1/6

1/5

1/3

#97. Bag contains 5 red, 3 blue, 2 green balls. Probability drawing red?

1/3

2/5

1/2

5/10

#98. Coin is flipped. Probability of heads?

1/3

2/3

1/4

1/2

#99. Card deck: 26 red, 26 black. Drawing red probability?

1/26

1/3

1/2

26/52

#100. Class of 30 students, 18 female. Selecting female probability?

1/2

12/30

3/5

18/30

#101. Flip coin and roll die. Heads AND rolling 3 probability?

1/4

1/8

1/12

1/6

#102. Two cards drawn without replacement from 52. Two aces probability?

1/221

1/169

1/13

2/52

#103. Spin wheel twice (4 equal sections 2 red). Same color both times?

1/2

1/4

1/16

1/8

#104. Draw from 5 red 3 blue without replacement. Red then blue?

3/5

15/56

1/2

5/8

#105. Roll two dice. Both showing even numbers probability?

1/2

1/3

1/8

1/4

#106. Roll a die. Probability of 2 OR 5?

2/3

1/6

1/3

1/4

#107. Draw a card. King OR Heart probability?

13/52

16/52

4/52

15/52

#108. Bag: 4 red 3 blue 2 green. Red OR blue probability?

4/9

7/9

1/2

5/9

#109. Spin wheel 1-10. 3 OR even probability?

7/10

5/10

1/10

6/10

#110. Draw card. 7 OR black card probability?

16/52

20/52

15/52

17/52

#111. Flip coin then roll die. Independent events?

Cannot

Independent

Dependent

Neither

#112. Two cards WITH replacement. Independent events?

Yes

Unknown

Sometimes

No

#113. Draw cards WITHOUT replacement. Independent events?

No

Yes

Sometimes

Always dependent

#114. Weather tomorrow and stock market. Independent events?

Independent

Partially

Cannot

Dependent

#115. Roll die then draw card. Independent events?

Depends

Always dep

No

Yes

#116. Three dice rolled. All show same number probability?

1/216

3/216

1/36

6/216

#117. Flip coin 3 times. Exactly 2 heads probability?

4/8

1/8

2/8

3/8

#118. Group of 5, 3 prefer pizza 2 tacos. Pick 2 people two pizza lovers?

3/10

1/2

6/10

2/5

#119. Spinner 4 equal colors. Spin 4 times same color?

1/4

4/256

1/256

1/64

#120. Draw 3 cards no replacement from deck. All hearts?

3/52

1/52

11/850

13/52

#121. 100 people: 40 cats 30 dogs 10 both. Cat probability given dogs?

30/40

10/30

40/100

10/40

#122. Class: 60% pass math 70% English 50% both. Pass English given math?

50/60

7/10

5/6

50/70

#123. Survey: 80 like pizza 50 pasta 20 both total 100. Pasta given pizza?

50/80

20/80

20/50

1/2

#124. Medical test 95% accurate disease 2% population. Positive probability disease?

0.02

0.90

0.95

~0.16

#125. School: 70% attend tutoring 90% pass. Pass probability given tutoring?

0.90

0.70

0.63

0.95

#126. Bag marbles: 6 blue 4 red. Draw without replacement P(both blue)?

3/10

1/5

15/45

6/10

#127. Deck cards: P(ace) first draw?

13/52

4/52

1/13

1/52

#128. Two events A and B: P(A)=0.3 P(B)=0.5 independent. P(A and B)?

0.8

0.35

0.15

0.8

#129. Spinner: white red blue yellow equal. Spin twice different outcomes?

1/4

3/4

1/2

9/16

#130. Three coins flipped. At least one head probability?

1/2

7/8

3/8

1/8

#131. Selecting from 52 cards: P(red face card)?

6/52

12/52

26/52

3/52

#132. Urn contains 3 white 5 black balls. P(white) without replacement?

2/7

3/7

5/8

3/8

#133. Package: 8 defective 92 good. P(both good) no replacement?

(92/100)(91/99)

92/100

(8/100)^2

(92/100)^2

#134. Basketball player 75% free throw. P(makes first two)?

1.5

0.5625

0.25

0.75

#135. P(rolling even number on die)?

1/6

1/3

2/3

1/2

#136. Dice probability sum of 7?

1/12

1/6

1/36

6/36

#137. Lottery odds 1 in 1000000. Buy 100 tickets odds?

1/10000000

1/10000

1/100

100/1000000

#138. Event with probability 0 is?

Unlikely

Impossible

Certain

Likely

#139. Two mutually exclusive events. Both happen probability?

Zero

One

0.5

High

#140. Complement of event A: P(not A) if P(A)=0.4?

0.2

0.4

0.6

0.5

#141. Three independent trials success 0.8 each. All three success?

0.512

0.8

2.4

0.24

#142. Die rolled twice: P(first 3 second 4)?

2/36

1/6

1/12

1/36

#143. Population growth: Year 1: 100k, Year 2: 120k, Year 3: 144k. Year 4?

162k

168k

180k

172.8k

#144. Sales trend: Q1 50k, Q2 60k, Q3 70k, Q4 80k. Q5 (next year Q1)?

85k

100k

90k

95k

#145. Website traffic: W1=500, W2=600, W3=720, W4=864. Growth pattern?

Logarithmic

Random

Linear

Exponential

#146. Temperature trend: 70, 72, 74, 76, 78, 80. Predict day 7?

82

81

83

84

#147. Production: 1000, 1050, 1102.50, 1157.63. Predict next?

1250

1165

1195

1215.51

#148. Ice cream sales increase with temperature. Heat CAUSE sales?

Never corr

Yes

No corr only

Cannot det

#149. Study group students higher GPA. Groups CAUSE higher GPA?

Yes def

Corr not causal

No corr

Negative

#150. Sleep hours correlate test performance. Which true?

Sleep causes grades

Corr unclear

Grades cause sleep

No rel

#151. Firefighters at fires. Firefighters CAUSE fires?

Yes

Always caus

Unclear

No corr not caus

#152. Soup consumption increases cold season. Explanation?

Soup prevents

Soup causes cold

No rel

Corr sick eat

#153. Gym member survey 95% exercise regularly. Biased?

No bias

Yes gym only

Always unbiased

Cannot tell

#154. Weekday morning poll. Likely bias toward?

Retirees

Employed

All equal

Students

#155. Online survey internet use. Response bias?

All respond

Cannot det

No

Yes internet

#156. Product survey satisfied customers only. Bias?

Response bias

No bias

Sampling error

Selection bias

#157. Political poll landline phones only. Bias against?

Older

Young

No bias

Equal

#158. Study: Vitamin C reduces cold 50%. Likely means?

Definitive

All half time

Some reduction

Corr only

#159. Dentists 83% prefer toothbrush. Missing context?

Brands

Colors

How many

Price

#160. Average income increased 20%. Missing?

Just avg

Stories

Std dev spread

All wrong

#161. Drug 90% effective. Needed context?

Price

Just %

Pill color

Population vs

#162. Survey 1 in 3 prefer A. Reliable when?

Large random

No verify

Friends

Once only

#163. Best survey student lunch opinions?

Random all

Friday only

Supervisors

Only buyers

#164. Estimate household income city?

Owners

Guessing

Random areas

Wealthy only

#165. Every 10th person from list sampling?

Random

Systematic

Biased

Not sampling

#166. Stratified sampling means?

Random

Divide groups

One area

No method

#167. Cluster sampling involves?

Online

Divide random

Everyone

Birthday

#168. Study 10 people supplement memory. Generalize?

Always

Yes def

Probably not

Never

#169. Study A and B correlation. Cant conclude?

A causes B

B causes A

No rel

Causation

No rel

Bias

Corr only

#171. Self-selected volunteers study. Bias toward?

No bias

Random

Lazy

Motivated

#172. Long-term same people study. Best for?

Corr

Trends time

Single pt

Causation

#173. Normal distribution 68% falls?

2 std dev

1 std dev mean

All

3 std dev

#174. Bell curve centered 100. 95% values between?

70-130

80-120

68-132

84-116

#175. Right-skewed distribution. Median vs mean?

Equal

Left

Right

Cannot

#176. Left-skewed distribution. True?

Mean = Med

Cannot

Mean > Med

Mean < Med

#177. Bimodal distribution means?

Two peaks

All equal

No peak

Symmetric

#178. Statistically significant result means?

Unlikely chance

Definitely

Very import

Irrelevant

#179. Small effect statistically significant. Interpret?

No effect

Avoid

Real small

Always imp

#180. Study result p=0.0001. Indicates?

Probably false

1 in 10k

Def true

Inconclusive

#181. Statistical significance requires?

Large effect

Any

Sample size low p

Perfect

#182. Practical significance means?

Valid data

Real world

No errors

Always large

#183. R-squared 0.85 regression model. Interpretation?

Never good

95% accurate

85% variance

Must be 1

#184. Z-score 2.5 distribution. What percent beyond?

2.5%

0.6%

1.2%

5%

#185. Confidence interval 95% for mean. Interpretation?

Param in interval

No error

95% inside

Certain

#186. Type I error significance test. Is?

No error

False pos

Always good

False neg

#187. Data shows clear pattern. Still conclude random?

Maybe

Always

No pattern exists

Yes

#188. Large sample vs small. Which more reliable?

Depends

Large

Same

Small

#189. Two datasets same mean different spread. Which matters?

Spread only

Mean only

Neither

Spread too

#190. Regression line slope positive. Relationship?

Inverse

None

Negative

Positive

#191. Outliers in data. Effect on mean greater than?

Nothing

Mode

Median

Range

#192. Sample size 30 vs 300. Confidence in estimates?

Same

Depends only

300 better

30 better

#193. Qualitative data example is?

Color preference

Age

Height

Weight

#194. Quantitative continuous variable is?

Gender

Grade letter

Eye color

Temperature

#195. Categorical variable is?

Height

Time

Religion

Shoe size

#196. Data highly variable. What measure inflated?

Median

All same

Mode

Mean

#197. Two correlated events. Always true?

Both caused third

No explanation

Independent

One causes other

#198. Lurking variable means?

Found variable

Normal

Extra data

Confounding factor

#199. Placebo effect shows importance of?

Good mean

Outliers

Blind study design

Large sample

#200. Regression toward mean means?

Everything same

Decreasing

Increasing

Extreme values become less extreme

Probabilistic and Statistical Reasoning – Set 1

Results

#1. Bar chart showing sales by quarter: Q1=45000, Q2=52000, Q3=48000, Q4=61000. What is the approximate percentage increase from Q1 to Q4?

#2. A store’s monthly revenue: Jan 8500, Feb 9200, Mar 8900, Apr 10100, May 11300. How much did revenue increase from Feb to May?

#3. Student test scores: 12 scored 80-89, 18 scored 90-99, 5 scored 70-79, 3 scored 60-69. How many total students?

#4. Website traffic by day: Mon 3200, Tue 3800, Wed 3500, Thu 4200, Fri 4600 visits. What is the median?

#5. Gym membership by location: Downtown 450, Midtown 620, Uptown 580, Suburbs 410. What percentage at Midtown?

#6. Temperature changes: Mon 72F, Tue 75F, Wed 78F, Thu 76F, Fri 80F. What is the average?

#7. Stock price over 5 days: 24, 26, 25, 28, 30. What is the overall trend?

#8. Website subscribers: Week 1=1000, Week 2=1500, Week 3=2100, Week 4=2800. Approximate Week 5?

#9. Monthly rainfall: Jan 3.2in, Feb 2.8in, Mar 4.1in, Apr 3.5in, May 5.0in, Jun 4.6in. Greatest decrease between?

#10. Daily app downloads over 6 days: 450, 520, 480, 610, 590, 680. Average daily downloads?

#11. Budget allocation pie chart: Housing 30%, Food 20%, Transport 15%, Entertainment 10%, Savings 25%. Housing allocation from 2000 budget?

#12. College enrollment by major: Engineering 28%, Business 24%, Science 19%, Liberal Arts 18%, Other 11%. Engineers in 5000 students?

#13. Survey results: Car 45%, Bus 25%, Bike 18%, Walk 12%. Walkers from 400 surveyed?

#14. Company employees by dept: Sales 32%, IT 26%, HR 15%, Finance 17%, Operations 10%. IT workers in 200 employees?

#15. Vacation preferences: Beach 35%, Mountains 28%, City 22%, Camping 15%. Beach lovers from 1000 surveyed?

#16. Scatter plot study hours vs test scores: 5 hrs=78, 8 hrs=89. Expected score after 10 hrs?

#17. Experience vs salary scatter: Yrs 2,3,5,6,8,10 Salary 35k,40k,50k,55k,65k,75k. Positive correlation?

#18. Age vs reaction time: Age 20=200ms, 30=250ms, 50=300ms, 70=350ms. What is the trend?

#19. Advertising vs sales scatter: Spend 1k,2k,3k,4k,5k Sales 10k,18k,27k,35k,44k. Best description?

#20. House size vs price: 1200/250k, 1500/290k, 1800/340k, 2100/385k, 2400/430k. Relationship?

#21. Box plot: Min 15, Q1 25, Median 35, Q3 45, Max 60. Interquartile range?

#22. Box plot analysis: Lower quartile 40, upper quartile 70. Middle 50% data location?

#23. Five-number summary: Min 10, Q1 20, Median 30, Q3 45, Max 80. Is 85 an outlier?

#24. Test score box plot: Min 55, Q1 70, Med 78, Q3 85, Max 95. Data shape?

#25. Two class comparison: Class A IQR=15, Class B IQR=25. More consistent scores?

#26. Stem-and-leaf: 2|3 5 7, 3|1 4 6 8, 4|2 5, 5|0 3. How many data values?

#27. Stem-and-leaf: 1|2 4 5 8, 2|1 3 6 9, 3|0 5. What is the median?

#28. Data stem-and-leaf: 6|1 3 7, 7|0 2 4 5 8, 8|1 6. What is the range?

#29. Stem-and-leaf: 3|2 5, 4|1 3 4 7, 5|0 2 6 8, 6|3. Values between 40-59?

#30. Back-to-back stem plots Class A: 7|5 6 8, 8|2 4 7, 9|1 3. Class B: 6|1 4, 7|3 5 9, 8|0 4 6. Which class better?

#31. Product A sales: Q1=12k, Q2=15k, Q3=18k, Q4=22k. Greatest growth rate quarter?

#32. Age distribution: 20-29: 450, 30-39: 520, 40-49: 480, 50+: 350. Percentage 40+?

#33. Survey: Email 35%, Phone 28%, Text 22%, In-person 15%. Of 2000 surveyed Email or Phone?

#34. Brand A: 2000 sales 35% return. Brand B: 3000 sales 22% return. Fewer returns?

#35. Restaurant visits: Jan 450, Feb 520, Mar 485, Apr 610, May 550, Jun 595. Median?

#36. Five measurements: 8k, 12k, 15k, 19k, 25k. What is the range?

#37. Data table: Product X 1200 units, Product Y 950 units, Product Z 1100 units. Total?

#38. Sales comparison Q1 vs Q2: Q1 30000, Q2 37500. Percentage increase?

#39. Profit margin data: Product A 35%, B 42%, C 38%, D 45%. Highest margin?

#40. Enrollment trend: 2020: 5000, 2021: 5500, 2022: 6000, 2023: 6500. Linear increase?

#41. Survey response rate: Online 45%, Phone 28%, Mail 17%, In-person 10%. Most common?

#42. Production by shift: Morning 450, Afternoon 520, Night 480. Average per shift?

#43. Test performance: 95th percentile score is 92. This means 95% scored below 92?

#44. Data spread: Range 50, IQR 20. Data is likely distributed how?

#45. Class sizes: Section A 28, B 32, C 25, D 30. Average class size?

#46. Quarterly performance: Q1 85%, Q2 88%, Q3 91%, Q4 94%. Trend type?

#47. Survey demographics: 55% female 45% male. In 2000 people how many male?

#48. Store traffic by hour: 8am-400, 10am-520, 12pm-680, 2pm-550, 4pm-420. Peak?

#49. Test scores: 78, 82, 85, 88, 92. What is the mean?

#50. Data set: 15, 22, 18, 25, 20. Calculate the mean.

#51. Five students scored: 91, 87, 92, 88, 86. Average score?

#52. Stock prices: 24, 28, 26, 30, 32. Mean price?

#53. Rainfall: 2.1in, 3.4in, 2.8in, 4.2in, 2.5in. Mean rainfall?

#54. Data set: 12, 15, 18, 21, 24. What is the median?

#55. Ordered scores: 65, 72, 78, 85, 92, 98. Median?

#56. Ages: 22, 25, 28, 35, 40, 45, 52. Median age?

#57. Seven test scores: 70, 75, 80, 82, 85, 90, 95. Median?

#58. Prices: 5, 12, 8, 15, 10, 13, 18, 20. Median price?

#59. Data: 5, 8, 5, 12, 5, 15, 8, 20. Mode?

#60. Scores: 78, 82, 78, 85, 82, 78, 90, 82. Mode?

#61. Ages: 25, 30, 25, 35, 25, 40, 30. Mode?

#62. Test results: 88, 92, 88, 95, 88, 92, 100. Mode?

#63. Shoe sizes: 8, 9, 8, 10, 8, 9, 11, 9. Mode?

#64. Data: 10, 12, 15, 18, 22, 25, 28. Range?

#65. Scores: 55, 72, 78, 85, 91, 98, 102. Range?

#66. House prices: 150k, 200k, 210k, 220k, 225k, 500k. Is 500k an outlier?

#67. Test scores: 78, 80, 82, 85, 88, 90, 15. Outlier?

#68. Monthly sales: 5k, 6k, 7k, 8k, 9k, 50k. Likely outlier?

#69. Dataset with 1, 2, 3, 4, 100. Best central tendency measure?

#70. Survey responses: excellent, good, good, fair, good, poor. Best center?

#71. Salaries: 40k, 45k, 50k, 55k, 1000k. Most representative?

#72. Grades: 78, 78, 78, 80, 82, 85, 90. Typical grade?

#73. When data skewed by extremes best measure?

#74. Student scores: 85, 90, 78, 92. Next score for 88 average?

#75. Five workers produced: 120, 135, 128, 142, ?. Average 132 missing value?

#76. Four test scores average 82. Three are 80, 85, 78. Fourth score?

#77. Six numbers mean 75. Five are 70, 72, 75, 80, 85. Sixth number?

#78. Team average 85 pts/game over 20 games total points?