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Solved: Finding Standard Deviation from a Frequency

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 38BSC Chapter 3.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 38BSC

 

Finding Standard Deviation from a Frequency Distribution. In Exercises,find the standard deviation of sample data summarized in a frequency distribution table by using the formula befaw, where x represents the class midpoint, f represents the class frequency, and n represents the total number ofsamph values. Aho, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values: 9.0 years.

Age of Best Actor When Oscar Was

 

Won

Frequency

20–29

1

30–39

26

40–49

35

50–59

13

60–69

6

70–79

1

Step-by-Step Solution:
Step 1 of 3

Problem 38BSC

Answer:

Step1 of 3:

We have standard deviation for frequency distribution

s =

Where,

 x  represents the class midpoint,

 f   represents the class frequency, and

 n  represents the total number of sample values.

Age of Best Actor When Oscar  Was

Frequency

20–29

1

30–39

26

40–49

35

50–59

13

60–69

6

70–79

1

Step2 of 3:

We need to find the standard deviation of sample data summarized in a frequency distribution table by using the formula below,also, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values. 11.1 years.

Step3 of 3:

Consider,

Age of Best Actor When Oscar  Was

Frequency

      (f)

   Mid point(x)

x2

fx2

fx

20–29

1

24.5

600.25

600.25

24.5

30–39

26

=34.5

1190.25

30946.5

897

40–49

35

44.5

1980.25

69308.75

1557.5

50–59

13

Step 2 of 3

Chapter 3.3, Problem 38BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Solved: Finding Standard Deviation from a Frequency

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