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Chapter 2: Q. 73 (page 139)

Find the standard deviation for the following frequency tables using the formula. Check the calculations with the TI 83/ 84

Short Answer

Expert verified

a. The standard deviation is 10.88.

b. The standard deviation is 7.62.

c. The standard deviation is 11.14.

Step by step solution

01

Given information

The frequency tables are below :

02

Formula Used

The formula to find the standard deviation is:

s=鈭�fx2n-x炉2

Where:

x炉=鈭�fxn

03

Calculation  (Part a)

One of the metrics of dispersion is the standard deviation. It's a metric for how far data values deviate from the mean.

鈭�x炉=238530=79.5s=193157.530-79.52=6438.583-6320.25=10.88

04

Calculation  (Part b)

One of the metrics of dispersion is the standard deviation. It's a metric for how far data values deviate from the mean.

鈭�x炉=6154.5101=60.94s=380945.3101-60.942=3771.735-3713.684=7.62

05

Calculation (Part c)

One of the metrics of dispersion is the standard deviation. It's a metric for how far data values deviate from the mean.

鈭�x炉=607786=70.66s=440051.586-70.662=5116.878-4992.836=11.14

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