Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values.Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1.(f-x)65-713072-7839n(n -158-6451-57444-5030-36237-434IntervalFrequency

Question
Asked Feb 5, 2019
3931 views
Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values.
Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1.
(f-x)
65-71
30
72-78
39
n(n -1
58-64
51-57
4
44-50
30-36
2
37-43
4
Interval
Frequency
help_outline

Image Transcriptionclose

Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. (f-x) 65-71 30 72-78 39 n(n -1 58-64 51-57 4 44-50 30-36 2 37-43 4 Interval Frequency

fullscreen
check_circle

Expert Answer

Step 1

Obtain the calculation table required to find standard deviation for the sample data summarized in frequency distribution.

The data represents the frequencies for the class intervals of sample data.

Consider the midpoints of the class intervals be denoted by xi

The general formula to calculate midpoint is,

xi = (Lower bound + Upper bound)/2.       

The frequencies of the class intervals be denoted by fi and the total frequency be denoted by n.

The calculation table required to find standard deviation for the sample data summarized in frequency distribution is obtained from the calculation given below:

fullscreen
Step 2

Obtain the standard deviation for the sample data summarized in frequency distribution.

The general formula to obtain standard deviation is,

s = (SQRT((nSfixi^2) – (Sfixi)^2)))/n(n – 1)

The standard deviation for the sample data summarized in frequency distribution is obtained as 11.07519 from the calculation given below:

fullscreen
Step 3

Compare the computed standard deviation to the standard deviation obtained from the original data values.

The standard deviation obtained from the original list of data values is 11.1.

The standard deviation comp...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Assume that a populatio of thousands of people whose responses were used to develop the anxiety test...

A: Hey, since there multiple subparts posted, we will answer first three subparts. If you want any spec...

question_answer

Q: Doctor Frederick believes the population mean weight of adult male patients in his practice is exact...

A: The aim is to find the accurate statement from the following options to evaluate the claim that the ...

question_answer

Q: A car dealer wants to get information about the number of years car owners keep their cars. A random...

A: Here, µ be the true population mean and n is the sample size.The (1-α) % confidence interval for pop...

question_answer

Q: How do I run a the test of normality?  Assumptions of normality

A: Introduction:Several tests of normality exist, using which you can verify whether a particular data ...

question_answer

Q: Find the critical value zc necessary to form a confidence interval at the level of confidence shown ...

A: It is required to find the z-critical value to form a 95% confidence interval. The critical value us...

question_answer

Q: Using the table below, determine the critical value or values for a hypothesis test for a proportion...

A: It is provided that the test is right tailed and the significance level is 1%.So, the critical value...

question_answer

Q: Tamara is a physician who works in a city. She has a discussion with her colleague who believes that...

A: The correct options are: (A) and (C). Explanation:It is provided that the p-value is between 0.005 a...

question_answer

Q: After you determine the mean annual return, how do you find the standard deviation?

A: Click to see the answer

question_answer

Q: Determine which of the four levels of measurement ( norminal, ordinal, interval, ratio) is most appr...

A: Explanation:In this case, the year in which a U.S. president was inaugurated, is a characteristic of...