Exhibit 3-5
You are given the following frequency distribution.
-Refer to Exhibit 3-5. The standard deviation is
A)570
B)5.477
C)25
D)30

Question

Exhibit 3-5
You are given the following frequency distribution. 
-Refer to Exhibit 3-5. The standard deviation is
A)570 
B)5.477 
C)25 
D)30

Quizplus · Accepted Answer

To calculate the standard deviation, we need to first find the mean, which is (2+5+8+11+14)/5=8. Then, we can use the formula for standard deviation:

Standard deviation = square root of [(sum of (each value minus mean) squared) divided by (number of values)]
 
Using this formula, we get:

SD = sqrt[((2-8)^2 + (5-8)^2 + (8-8)^2 + (11-8)^2 + (14-8)^2)/5]

SD = sqrt[(36+9+9+9+36)/5]

SD = sqrt[99/5]

SD = 5.477

Therefore, the answer is choice B.

Exhibit 3-5 You Are Given the Following Frequency Distribution