This is one question with 7 subparts that I am stuck on, thanks. Use the followi

Question

This is one question with 7 subparts that I am stuck on, thanks.

Use the following frequency distribution (of SAMPLE DATA) in answering the questions: class 0-9 f=10; class 10-19 f=20; class 20-29 f=40; class 30-39 f=20; class 40-49 f=10.

1) How many classes are there in this frequency distribution?

2) What is the midpoint of the 3rd class?

3) What is the total number of observations in the frequency distribution?

4) What is the relative frequency of the 3rd class?

5) n the formula for the standard deviation in this problem do you use "N' or "n-1"?

6) What is the value of the mean?

7) What is the value of the standard deviation?

Explanation / Answer

(1)

There are in total 5 classes in this frequency distribution table.

(2)

The midpoint of the third class is : (20+29)/2 = 24.5

(3)

Total number of observations in the distribution = 10+20+40+20+10 = 100

(4)

Relative frequency of third class = 40/100 = 0.4

(5)

Since we have to calculate the sample SD here, so the formula should include (n-1) instead of n.

(6) and (7)

For the given data we have:

Sample mean, m = 24.5

Sample SD, S = 11.01

Hope this helps !

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