TSIA2- Chapter 7 – Probabilistic and Statistical Reasoning – Question Set 2

#1. Restaurant revenue (6 weeks): $8,200, $8,650, $7,920, $9,100, $8,750, $8,400. Total?

$51,020

$50,000

$52,400

$49,800

#2. Quiz: 78, 85, 92, 78, 85, 90, 88. Mode?

78

85

88

90

#3. Study vs scores: (2,65%), (3,72%), (4,78%), (5,85%), (6,92%). Relationship?

Negative

Positive

None

Random

#4. Mean most appropriate when?

Outliers

Normal

Many modes

Skewed

#5. 2 coins. P(≥1 head)?

1/4

1/2

3/4

1

#6. Siblings: 0(3), 1(8), 2(6), 3(2), 4(1). Most common?

0

1

2

3

#7. Outliers display?

Hist

Box

Pie

Table

#8. Satisfaction: 7, 8, 9, 7, 8, 6, 8, 9. Mode?

7

8

8.5

9

#9. Temps: 72, 75, 78, 72, 80, 72, 76. Mode?

72

75

76

77

#10. Ads vs sales (6 months increasing). Relationship?

Weak positive

Strong positive

Negative

None

#11. r=0.15. Is?

Str pos

Weak pos

Str neg

None

#12. Temps: Min 52°F, Q1 64°F, Med 72°F, Q3 79°F, Max 88°F. Middle 50%?

52-88

64-79

52-72

72-88

#13. r=-0.95. Is?

Str pos

Str neg

Weak neg

None

#14. Data: 12, 15, 18, 22, 25, 28, 32, 110. Most affected by 110?

Median

Mode

Mean

Range

#15. 2 cards no repl. P(both ♠)?

1/17

12/52

13/52

1/4

#16. Double bar: A(Jan $2k, Feb $2.5k), B(Jan $1.8k, Feb $2.2k). Growth?

A

B

Equal

Cannot

#17. Productivity: J85%, F88%, M91%, A93%, My95%. June?

90%

95%

97%

100%

#18. Trend: Y1 100, Y2 120, Y3 140, Y4 160. Annual increase?

20

25

30

40

#19. Coffee shop (8 days): 125, 142, 138, 156, 149, 167, 173, 180. Largest consecutive increase?

Day 4-5

Day 5-6

Day 6-7

Day 7-8

#20. Ages: 22, 25, 28, 30, 32, 35, 38, 40, 42, 45. Median?

32

33

33.5

34

#21. Income-edu link. Confound?

Age

Height

Eye

Shoe

#22. Sales: $15k, $18k, $16k, $17k, $19k, $15k. Median?

$16.5k

$17k

$17.5k

$18k

#23. Frequency: 10(3), 15(5), 20(7), 25(4), 30(2). Total?

19

20

21

22

#24. Sales: Clothing $125k, Electronics $189k, Furniture $95k, Home $142k. Electronics fraction?

1/4

1/3

3/8

2/5

#25. 2 cards no repl. P(both red)?

25/102

26/102

1/2

1/4

#26. Hospital readmit: A15%, B22%. B worse?

Yes

Cannot

Hosp

Uncl

#27. 2 dice. P(sum=7)?

1/12

1/9

1/6

1/3

#28. Occupancy: Mon 68%, Tue 72%, Wed 65%, Thu 79%, Fri 85%, Sat 92%, Sun 78%. Avg?

77%

78%

79%

80%

#29. Theater tickets: Action 420, Comedy 390, Drama 285, Horror 310, Sci-Fi 445. ~40% combination?

Action & Drama

Sci-Fi & Comedy

Horror & Drama

Action & Horror

#30. Class: 15 boys, 10 girls. P(girl)?

2/5

1/3

3/5

2/3

#31. PROBABILITY letters. P(B)?

1/11

2/11

3/11

4/11

#32. Weight loss random (diet vs diet+ex). Is?

Obs

Exp

Corr

Desc

#33. Library: Fiction 2400, Non-fiction 1600, Ref 400, Kids 800. Fiction %?

40%

48%

52%

60%

#34. 3 cards with repl. P(all ♥)?

1/64

1/512

1/2197

1/4096

#35. Bag: 3 red, 5 green, 2 yellow. P(green)?

1/2

1/3

2/5

1/4

#36. Deck. P(¬ace)?

1/13

12/13

1/4

3/13

#37. Data: 5, 8, 12, 15, 18, 22, 25. Mean?

14.5

15

15.5

16

#38. Study-grades r=0.72. Why?

Causes

Ability

Grades

Random

#39. Commissions: $2k, $2.5k, $3k, $2.2k, $2.8k, $2.5k. Mode?

$2.3k

$2.4k

$2.5k

$2.6k

#40. Guess 4-choice. P(correct)?

1/2

1/3

1/4

1/5

#41. Hand-wash poll varies. Why?

Pop

Measure

Sample

Data

#42. Bag: 8 red, 5 blue, 7 green. P(blue)?

1/4

1/3

5/20

3/10

#43. 1-50. P(÷10)?

1/10

1/5

2/25

3/50

#44. Allows causal?

Obs

Corr

RCT

Survey

#45. Forecast +$50k/yr. Assume?

Perfect

Trend

Exp

Vol

#46. Weight loss: 5, 8, 3, 6, 7, 4 lbs. Mean?

5.5

5.8

6

6.2

#47. Cookies: 145, 152, 148, 156, 150, 154, 149, 153. Mean?

150.6

150.9

151.2

151.5

#48. Hospital admissions: Mon 145, Tue 167, Wed 152, Thu 189, Fri 171. Second highest?

Wednesday

Monday

Thursday

Tuesday

#49. Mutually exclusive?

Odd & even

Spade & red

Heads 2x

King & ace

#50. Stem-leaf: Stem 6 (2,5,8), 7 (1,3,4,6,9), 8 (0,2,5,7), 9 (1,4). 70s count?

3

4

5

6

#51. Weights: 2.5, 2.3, 2.4, 2.6, 2.4, 2.5, 12.0 kg. Least affected?

Mean

Median

Range

Std

#52. Jar 6: 2 lemon, 2 cherry, 2 lime. P(lemon or cherry)?

1/6

1/3

1/2

2/3

#53. Big shoes=tall. Is?

Cause

Corr no cause

Coin

Indep

#54. Sales: $10k→$12k→$14k→$16k→$18k. Next?

$18k

$19k

$20k

$22k

#55. Tutoring → higher scores. Conclude?

Defin

Maybe

Ability

No

#56. 1-12. P(÷3)?

1/3

1/4

1/6

1/12

#57. Grouped freq: 10-19(5), 20-29(12), 30-39(18), 40-49(10), 50-59(3). Highest?

10-19

20-29

30-39

40-49

#58. Computer hrs: 15, 12, 18, 14, 20, 16, 22. Median?

16

16.7

17

18

#59. Histogram: Tallest 70-72 inches. What?

Mean

Median

Modal class

Range

#60. Jar 12: 5 choc, 4 sugar, 3 oatmeal. P(¬sugar)?

1/3

1/4

2/3

3/4

#61. Budget: Salaries 45%, Ops 25%, Marketing 20%, Reserve 10%. $500k total. Marketing?

$100k

$125k

$150k

$200k

#62. Coin 3x. P(exactly 2 tails)?

1/8

1/4

3/8

1/2

#63. Lottery P(win)=0.02. P(lose)?

0.02

0.50

0.98

2.0

#64. Box plot: Min 42, Q1 65, Med 78, Q3 88, Max 98. IQR?

23

30

33

56

#65. Y1:100, Y2:110, Y3:121. Growth?

Linear

Exp

Dec

None

#66. P(A)=0.7, P(B)=0.4. P(A∩B)?

0.28

0.40

0.70

1.1

#67. Box: 4 red, 6 blue. P(red)?

2/5

3/5

1/4

1/2

#68. 8 workers: $45k, $52k, $48k, $55k, $50k, $53k, $49k, $51k. Mean?

$50.25k

$50.5k

$50.75k

$51k

#69. Drawer: 6 white, 4 black. P(both white) no replace?

3/10

1/3

6/25

15/45

#70. Survey: “Bad policy?” Has?

Lead

Measure

Sample

Random

#71. 40% prefer A. P(both of 2)?

0.16

0.20

0.40

0.80

#72. Times: 215, 220, 218, 225, 220 ms. Mode?

215

218

220

225

#73. Exercise (hrs): 6, 8, 5, 7, 9, 8, 6. Mean?

7

7.1

7.2

7.3

#74. Data: 5, 10, 15, 20, 25. Add 100. Changes most?

Median

Mode

Mean

Range

#75. 50k by Y5. Based?

Opin

Regress

Avg

Comp

#76. Spinner 8: 3 red, 2 blue, 2 yellow, 1 green. P(red or yellow)?

3/8

1/2

5/8

3/4

#77. Deck. P(face)?

1/13

3/13

1/4

1/3

#78. Spinner 6, each color once. P(specific)?

1/6

1/5

1/4

1/3

#79. Houses: price vs sqft upward scatter. Relationship?

Negative

Positive

None

Causation

#80. Quarterly sales: Q1 $125k, Q2 $148k, Q3 $156k, Q4 $189k. Average?

$153k

$154.5k

$155.5k

$156.5k

#81. Box 5: 2 red, 2 blue, 1 green. P(both red) no repl?

1/10

2/5

4/25

1/25

#82. Bias likely?

Rand

Strat

Conv

Sys

#83. 5 nums mean 20. Four: 18, 22, 19, 21. Fifth?

18

20

22

24

#84. Exams: 92, 78, 85, 92, 88, 95, 92. Mode?

85

88

92

95

#85. Mutually exclusive TRUE?

Together

Cannot

Always

Dependent

#86. Ice cream & drowning both ↑ summer. Shows?

Cause

Corr

Coin

Confound

#87. 5 employees: $18, $22, $20, $25, $21. Mean?

$20.80

$21

$21.20

$21.50

#88. Chart: Thu 35% of weekly (8400 visitors). Weekly total?

21k

23.5k

24k

26k

#89. High internal, low external. Means?

Precise

General

Both

Flawed

#90. Die 2x. P(both 6)?

1/36

1/18

1/12

1/6

#91. Laptops: $450, $620, $580, $750, $695, $540, $810, $625. Range?

$180

$260

$360

$450

#92. Test 1: 85±3, 2: 85±8. Better?

1

2

Same

Cannot

#93. Gym members: 18-25 (98), 26-35 (156), 36-45 (142), 46-55 (89), 56+ (65). Difference 26-35 vs 56+?

67

89

91

156

#94. Scores: 60s(4), 70s(9), 80s(12), 90s(5). 80s %?

30%

40%

48%

60%

#95. Plant light study. Controlled?

Light

Height

Soil

Water

#96. Pie survey (360): 90 chose A. A angle?

45°

60°

75°

90°

#97. P(A)=0.3, P(B)=0.5. P(A∪B)?

0.15

0.65

0.80

0.85

#98. Vars related. Confound?

Time

Loc

Season

All

#99. Rep sample?

Rand 50

Conv 200

Strat 30

Vol 100

#100. Traffic +30% over 6 mo. Continue?

15%

20%

30%

60%

#101. A, B indep. P(A)=0.4, P(B)=0.6. P(A∩B)?

0.24

0.40

0.60

1.0

#102. Deck. P(♥ or ♦)?

1/4

1/3

1/2

2/3

#103. Spinner 10: 3 red, 4 blue, 2 green, 1 yellow. P(blue)?

0.3

0.4

0.5

0.6

#104. Coin & die. P(heads ∩ 3)?

1/6

1/12

1/8

1/4

#105. P(A)=0.25. Odds for A?

1:3

1:4

3:1

4:1

#106. X, Y strong neg corr. Conclude?

X→Y

Neg rel

Y→X

None

#107. Heights: 168, 172, 170, 175, 169, 171 cm. Median?

170

170.5

171

171.5

#108. Gas: $3.20, $3.25, $3.18, $3.30, $3.22, $3.27, $3.24. Mean?

$3.23

$3.24

$3.25

$3.26

#109. Finding outliers best via?

Pie

Line

Box plot

Bar

#110. Die. P(¬4)?

1/6

1/3

1/2

5/6

#111. Times: 35, 42, 38, 45, 40, 38, 37, 44 min. Mode?

37

38

40

42

#112. Subjects (600): Math 150, Science 180, Lit 120, History 100, Arts 50. Math fraction?

1/4

1/3

1/5

2/5

#113. Books: 3, 5, 4, 3, 6, 3, 5. Mode?

3

4

5

6

#114. News: 70% prefer. Rally survey. Shows?

Measure

Select

Resp

Sample

#115. Prep: 2, 5, 3, 4, 2, 6, 3 hrs. Median?

3

3.5

4

4.5

#116. Defects by shift: 1(2%), 2(3.5%), 3(1.5%), 4(2.5%). Highest?

1

2

3

4

#117. Sports: 85, 92, 78, 95, 88, 90, 87. Mean?

86.4

87

88.2

89

#118. 20 people: r=0.85 height-weight. True?

Cause

Strong pos

Small

None

#119. Scatter: (10,52), (20,48), (30,45), (40,42), (50,39). Trend?

Positive

Negative

None

Exponential

#120. Chart: D is 25% of total. D=$50k. Total?

$100k

$150k

$200k

$250k

#121. r=0.35 study-scores. Is?

Str pos

Mod

Weak pos

Neg

#122. Line (10 days): Steady increase. Pattern?

Cycling

Linear

Plateau

Decrease

#123. Bag 20: 8 white, 7 black, 5 red. P(white or black)?

3/4

4/5

7/10

3/5

#124. Scores: 65, 70, 75, 80, 85, 90, 95. Mean=median. Mean?

75

80

85

90

#125. Bag 9: 4 white, 3 blue, 2 red. P(white or red)?

2/3

4/9

6/9

5/9

#126. Spurious corr?

Direct

3rd var

Perfect

None

#127. Attendance (10): 18, 22, 25, 20, 23, 27, 21, 26, 24, 28. Mean?

23.4

23.8

24.2

24.5

#128. Customers: Lunch 285, Dinner 412, Breakfast 156, Late 89. Dinner:breakfast ratio?

2.6:1

2.8:1

3.1:1

3.5:1

#129. Corr vs cause?

Proves

Needs

Same

Stronger

#130. Spinner equal. P(one)?

1/8

1/6

1/4

1/3

#131. Scores: 85, 90, 88, 92. Need on next for mean 90?

95

100

102

105

#132. Shoes: 7, 8, 9, 10, 10, 11, 12, 13. Typical?

Mean

Median

Mode

Range

#133. Exercisers have high energy. Indicates?

Causes

Corr

Neg

None

#134. Stem-leaf: Leaves represent?

Tens

Ones

Hundreds

Median

#135. Scores (7): 78, 85, 92, 78, 88, 95, 82. Median?

82

85

87

88

#136. Attempts: 1, 2, 1, 3, 1, 2, 1. Mode?

1

1.5

2

3

#137. Rain: 1.2″, 2.1″, 1.8″, 2.5″, 1.9″, 2.3″. Median?

1.9″

2.0″

2.1″

2.2″

#138. Comparing spreads best via?

Pie

Box plot

Bar

Table

#139. Die. P(even)?

1/6

1/3

1/2

2/3

#140. Rain: Mon 0.5″, Tue 0.8″, Wed 0.3″, Thu 1.2″, Fri 0.6″. Week total?

3.0″

3.2″

3.4″

3.6″

#141. Urn: 3 black, 2 white. P(black)?

2/5

3/5

1/3

1/2

#142. X, Y dep. P(X)=0.6, P(Y|X)=0.4. P(X∩Y)?

0.16

0.24

0.40

1.0

#143. Commuters (800): Car 480, Bus 192, Train 96, Bicycle 32. Train %?

10%

12%

14%

15%

#144. Data: 10, 12, 14, 16, 18, 20, 22. Median?

15

16

17

18

#145. Pulse: 72, 68, 75, 70, 72, 71, 69 bpm. Mean?

70

70.7

71

71.4

#146. Increases: $2k, $3k, $1.5k, $4k, $2.5k. Mean?

$2.6k

$2.8k

$3k

$3.2k

#147. Visitors: Day 1 (2400), Day 6 (3200). % increase?

25%

30%

33%

38%

#148. Deck 52. P(red)?

1/4

1/3

1/2

2/3

#149. Cause establish?

Obs

Exp

Sample

Trends

#150. Online recruit. Bias?

Select

Measure

Exp

Random

#151. Temps: 68, 72, 65, 70, 68, 71, 69 °F. Mode?

68

69

70

71

#152. Complaints: M1:45, M2:40, M3:35, M4:30. M5?

25

26

27

28

#153. Pies: A(8 equal) vs B(40%, 35%, 15%, 10%). More categories?

A

B

Equal

Cannot

#154. Aft shoppers surveyed. Has?

Sample

Select

Measure

Exp

#155. Commute: 25, 30, 28, 32, 26, 28, 31 min. Mode?

28

29

30

31

#156. Revenue model linear. Assume?

Fluc

Trend

Double

Unpred

#157. Annual rain: Y1 48″, Y2 52″, Y3 45″, Y4 55″. Avg?

50

50.5

51

52

#158. Bakery muffins: Chocolate 340, Blueberry 280, Bran 195, Vanilla 265, Strawberry 210. Chocolate %?

22%

28%

35%

42%

#159. Hits: 450, 520, 480, 510, 505, 495, 530. Median?

500

505

510

515

#160. Only gym attendees asked exercise. Has?

Random

Sys

Select

Measure

#161. 1-30. P(÷5)?

1/6

1/5

1/4

1/3

#162. Scores: 88, 92, 85, 95, 88, 91, 86, 88. Mode?

87

88

89

90

#163. P=0.35. P(¬)?

0.35

0.55

0.65

0.75

#164. Medicine study. Best?

Obs

RCT

Survey

Case

#165. Rain (in): 2.1, 2.8, 3.2, 2.8, 1.9, 2.8, 3.1, 2.5. Mode?

2.3

2.5

2.8

3.1

#166. 500 surveyed: 400 coffee shops, 100 homes. Has?

Select bias

Measure

Random

None

#167. Eve shoppers only. Bias?

Select

Measure

Resp

Random

#168. Debt → future $. Is?

Debt

Edu

None

Sal

#169. 1-10. P(<5)?

0.3

0.4

0.5

0.6

#170. Heights: 62, 68, 65, 70, 64, 67, 69, 66, 71. Median?

66

67

68

69

#171. Bakery: Mon 45, Tue 52, Wed 48, Thu 55, Fri 60. Median?

48

50

52

55

#172. Salary bins: $30-40k(8), $40-50k(14), $50-60k(12), $60-70k(6). Total?

35

36

38

40

#173. Plant sales: Jan 340, Feb 285, Mar 380, Apr 425, May 510. Smallest increase?

February

March

April

May

#174. Temperatures (°C): W1 22, W2 24, W3 23, W4 26, W5 28, W6 30. Average?

25.5

25.8

26

26.2

#175. Spinner 5 (1-5). P(>3)?

1/5

2/5

3/5

4/5

#176. High GPA → better outcomes. Why?

Guaran

Causes

Both effort

None

#177. Sales: A $45k, B $38k, C $52k, D $41k. Range?

$14k

$7k

$10k

$15k

#178. P(success)=0.75. P(fail)?

0.25

0.50

0.75

1.00

#179. A: r=0.92, B: r=0.45. A?

Weak

Strong

Same

Opp

#180. Scatter plot upward trend. Pattern?

Exponential

Linear up

Cyclic

None

#181. Test improvement (8 weeks): 65% to 88%. Avg weekly?

2.9%

3.2%

3.5%

4.1%

#182. Stocks: $145, $152, $148, $156, $150. Mean?

$149.5

$150

$150.2

$151

#183. Scores: 92, 88, 95, 88, 90, 92, 88, 92. Mode?

88

90

92

95

#184. 6 scores med 85. Order: 78, 82, ?, ?, 92, 95. Missing?

83 & 87

84 & 86

85 & 85

80 & 90

#185. Student study (6 weeks): 12, 14, 11, 15, 18, 20 hours. Trend?

Decreasing

Increasing

No clear

Fluctuating

#186. Data: min 15, Q1 28, med 35, Q3 42, max 58. Outlier?

15

28

42

58

#187. r=-0.88. Is?

Weak

Str neg

Pos cause

None

#188. A data set has mean 50 and median 45. This suggests the data is:

Symmetric

Skewed right

Skewed left

Uniform

#189. In a study comparing brand loyalty, which sampling method best avoids bias?

Convenience sample

Stratified random sample

Volunteer sample

Quota sample

#190. A researcher notices that students with higher self-esteem score better on tests. Possible confounding variable?

Prior academic success

Intelligence

Sleep

All of above

#191. Time series data shows: Month 1: 250, Month 2: 265, Month 3: 282, Month 4: 301. Compound growth?

Yes

No

Linear only

Cannot determine

#192. A survey has response rate of 35%. What bias concern exists?

Non-response bias

Selection bias

Measurement bias

Sampling error

#193. When comparing two distributions, box plots should be placed:

Vertically

Horizontally side-by-side

Overlapped

Separately only

#194. A histogram shows a bimodal distribution. How many peaks?

One

Two

Three

Many

#195. For categorical data, the appropriate measure of center is:

Mean

Median

Mode

Range

#196. Probability of independent events A and B both occurring equals:

P(A)+P(B)

P(A)·P(B)

P(A|B)

1-P(A)P(B)

#197. A study finds that drinking coffee is associated with heart disease. A confound could be:

Smoking

Age

Stress

All possible

#198. The standard deviation tells us about data:

Center

Spread

Shape

Outliers

#199. In experimental design, the control group should be:

Identical to treatment except one variable

Completely different

No group

Much larger

#200. Which correlation coefficient indicates weakest relationship?

-0.92

-0.25

0.15

0.88

Probabilistic and Statistical Reasoning – Set 2

Results

#1. Restaurant revenue (6 weeks): $8,200, $8,650, $7,920, $9,100, $8,750, $8,400. Total?

#2. Quiz: 78, 85, 92, 78, 85, 90, 88. Mode?

#3. Study vs scores: (2,65%), (3,72%), (4,78%), (5,85%), (6,92%). Relationship?

#4. Mean most appropriate when?

#5. 2 coins. P(≥1 head)?

#6. Siblings: 0(3), 1(8), 2(6), 3(2), 4(1). Most common?

#7. Outliers display?

#8. Satisfaction: 7, 8, 9, 7, 8, 6, 8, 9. Mode?

#9. Temps: 72, 75, 78, 72, 80, 72, 76. Mode?

#10. Ads vs sales (6 months increasing). Relationship?

#11. r=0.15. Is?

#12. Temps: Min 52°F, Q1 64°F, Med 72°F, Q3 79°F, Max 88°F. Middle 50%?

#13. r=-0.95. Is?

#14. Data: 12, 15, 18, 22, 25, 28, 32, 110. Most affected by 110?

#15. 2 cards no repl. P(both ♠)?

#16. Double bar: A(Jan $2k, Feb $2.5k), B(Jan $1.8k, Feb $2.2k). Growth?

#17. Productivity: J85%, F88%, M91%, A93%, My95%. June?

#18. Trend: Y1 100, Y2 120, Y3 140, Y4 160. Annual increase?

#19. Coffee shop (8 days): 125, 142, 138, 156, 149, 167, 173, 180. Largest consecutive increase?

#20. Ages: 22, 25, 28, 30, 32, 35, 38, 40, 42, 45. Median?

#21. Income-edu link. Confound?

#22. Sales: $15k, $18k, $16k, $17k, $19k, $15k. Median?

#23. Frequency: 10(3), 15(5), 20(7), 25(4), 30(2). Total?

#24. Sales: Clothing $125k, Electronics $189k, Furniture $95k, Home $142k. Electronics fraction?

#25. 2 cards no repl. P(both red)?

#26. Hospital readmit: A15%, B22%. B worse?

#27. 2 dice. P(sum=7)?

#28. Occupancy: Mon 68%, Tue 72%, Wed 65%, Thu 79%, Fri 85%, Sat 92%, Sun 78%. Avg?

#29. Theater tickets: Action 420, Comedy 390, Drama 285, Horror 310, Sci-Fi 445. ~40% combination?

#30. Class: 15 boys, 10 girls. P(girl)?

#31. PROBABILITY letters. P(B)?

#32. Weight loss random (diet vs diet+ex). Is?

#33. Library: Fiction 2400, Non-fiction 1600, Ref 400, Kids 800. Fiction %?

#34. 3 cards with repl. P(all ♥)?

#35. Bag: 3 red, 5 green, 2 yellow. P(green)?

#36. Deck. P(¬ace)?

#37. Data: 5, 8, 12, 15, 18, 22, 25. Mean?

#38. Study-grades r=0.72. Why?

#39. Commissions: $2k, $2.5k, $3k, $2.2k, $2.8k, $2.5k. Mode?

#40. Guess 4-choice. P(correct)?

#41. Hand-wash poll varies. Why?

#42. Bag: 8 red, 5 blue, 7 green. P(blue)?

#43. 1-50. P(÷10)?

#44. Allows causal?

#45. Forecast +$50k/yr. Assume?

#46. Weight loss: 5, 8, 3, 6, 7, 4 lbs. Mean?

#47. Cookies: 145, 152, 148, 156, 150, 154, 149, 153. Mean?

#48. Hospital admissions: Mon 145, Tue 167, Wed 152, Thu 189, Fri 171. Second highest?

#49. Mutually exclusive?

#50. Stem-leaf: Stem 6 (2,5,8), 7 (1,3,4,6,9), 8 (0,2,5,7), 9 (1,4). 70s count?

#51. Weights: 2.5, 2.3, 2.4, 2.6, 2.4, 2.5, 12.0 kg. Least affected?

#52. Jar 6: 2 lemon, 2 cherry, 2 lime. P(lemon or cherry)?

#53. Big shoes=tall. Is?

#54. Sales: $10k→$12k→$14k→$16k→$18k. Next?

#55. Tutoring → higher scores. Conclude?

#56. 1-12. P(÷3)?

#57. Grouped freq: 10-19(5), 20-29(12), 30-39(18), 40-49(10), 50-59(3). Highest?

#58. Computer hrs: 15, 12, 18, 14, 20, 16, 22. Median?

#59. Histogram: Tallest 70-72 inches. What?

#60. Jar 12: 5 choc, 4 sugar, 3 oatmeal. P(¬sugar)?

#61. Budget: Salaries 45%, Ops 25%, Marketing 20%, Reserve 10%. $500k total. Marketing?

#62. Coin 3x. P(exactly 2 tails)?

#63. Lottery P(win)=0.02. P(lose)?

#64. Box plot: Min 42, Q1 65, Med 78, Q3 88, Max 98. IQR?

#65. Y1:100, Y2:110, Y3:121. Growth?

#66. P(A)=0.7, P(B)=0.4. P(A∩B)?

#67. Box: 4 red, 6 blue. P(red)?

#68. 8 workers: $45k, $52k, $48k, $55k, $50k, $53k, $49k, $51k. Mean?

#69. Drawer: 6 white, 4 black. P(both white) no replace?

#70. Survey: “Bad policy?” Has?

#71. 40% prefer A. P(both of 2)?

#72. Times: 215, 220, 218, 225, 220 ms. Mode?

#73. Exercise (hrs): 6, 8, 5, 7, 9, 8, 6. Mean?

#74. Data: 5, 10, 15, 20, 25. Add 100. Changes most?

#75. 50k by Y5. Based?

#76. Spinner 8: 3 red, 2 blue, 2 yellow, 1 green. P(red or yellow)?

#77. Deck. P(face)?

#78. Spinner 6, each color once. P(specific)?