Explanation Given Information: The table is: Score Frequency( f ) 68.5-73.5 73.5-78.5 78.5-83.5 83.5-88.5 88.5-93.5 93.5-98.5 98.5-103.5 103.5-108.5 108.5-113.5 113.5-118.5 118.5-123.5 5 7 10 12 20 22 25 32 17 12 9 Formula used: 1) Mid-point is given by: mid-point = lower limit + upper limit 2 2) Mean of frequency distribution is given by: Mean = Sum of ( x f ) f Where, x is the mid-point and f is the frequency. 3) Sample standard deviation is given by: s = sum of D 2 f n − 1 Calculation: Consider the table Score Frequency( f ) 68.5-73.5 73.5-78.5 78.5-83.5 83.5-88.5 88.5-93.5 93.5-98.5 98.5-103.5 103.5-108.5 108.5-113.5 113.5-118.5 118.5-123.5 5 7 10 12 20 22 25 32 17 12 9 In order to complete the table: Find the first mid-point, mid-point ( x ) = 68 .5+73 .5 2 = 71 And then product of first x and f that is xf. x f = x ⋅ f = 71 ⋅ 5 = 355 Similarly find other values of x and xf, Score Midpoint( x ) Frequency( f ) Product( xf ) 68.5-73.5 73.5-78.5 78.5-83.5 83.5-88.5 88.5-93.5 93.5-98.5 98.5-103.5 103.5-108.5 108.5-113.5 113.5-118.5 118.5-123

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 15.9, Problem 13E

To determine

To calculate: The sample standard deviation of score from the data:

Score

Frequency(f)

68.5-73.5

73.5-78.5

78.5-83.5

83.5-88.5

88.5-93.5

93.5-98.5

98.5-103.5

103.5-108.5

108.5-113.5

113.5-118.5

118.5-123.5

5

7

10

12

20

22

25

32

17

12

9

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Chapter 15.9, Problem 12E

Chapter 15.9, Problem 14E

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Chapter 15 Solutions

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The sample standard deviation of score from the data: Score Frequency( f ) 68.5-73.5 73.5-78.5 78.5-83.5 83.5-88.5 88.5-93.5 93.5-98.5 98.5-103.5 103.5-108.5 108.5-113.5 113.5-118.5 118.5-123.5 5 7 10 12 20 22 25 32 17 12 9

Solution Summary: The author explains how to calculate the sample standard deviation of score from the data.

Concept explainers

Videos

To calculate: The sample standard deviation of score from the data:

Score

Frequency(f)

68.5-73.5

73.5-78.5

78.5-83.5

83.5-88.5

88.5-93.5

93.5-98.5

98.5-103.5

103.5-108.5

108.5-113.5

113.5-118.5

118.5-123.5

5

7

10

12

20

22

25

32

17

12

9

Want to see the full answer?

Chapter 15 Solutions

The sample standard deviation of score from the data: Score Frequency( f ) 68.5-73.5 73.5-78.5 78.5-83.5 83.5-88.5 88.5-93.5 93.5-98.5 98.5-103.5 103.5-108.5 108.5-113.5 113.5-118.5 118.5-123.5 5 7 10 12 20 22 25 32 17 12 9

Solution Summary: The author explains how to calculate the sample standard deviation of score from the data.

Concept explainers

Videos

To calculate: The sample standard deviation of score from the data: Score Frequency(f) 68.5-73.5 73.5-78.5 78.5-83.5 83.5-88.5 88.5-93.5 93.5-98.5 98.5-103.5 103.5-108.5 108.5-113.5 113.5-118.5 118.5-123.5 5 7 10 12 20 22 25 32 17 12 9

Want to see the full answer?

Chapter 15 Solutions

To calculate: The sample standard deviation of score from the data:

Score

Frequency(f)

68.5-73.5

73.5-78.5

78.5-83.5

83.5-88.5

88.5-93.5

93.5-98.5

98.5-103.5

103.5-108.5

108.5-113.5

113.5-118.5

118.5-123.5

5

7

10

12

20

22

25

32

17

12

9