Analyze Datasets

Question

For the following set of data, find the percentage of data within 2 population standard deviations of the mean, to the nearest percent.

112, 73, 108, 75, 66, 65, 66

Answer 1

Hello Kathrine Lets do this in steps;

First Add: (112+73+108+75+66+65+66)=565 Percentage Are As Follows:

N=7 Numbers 112/565=20% 73/565=13% 108/565=19%

Average= 565/7=80.71 75/565=13% 66/565=12% 65/565=12%

Standard Deviation (SDIEV) =(Range/4) 66/565=12%

Range= (largest Number - Smallest Number) _____________________________________

SDIEV= (112-65)/4 NUMBERS WITHIN 2SDIEV ARE:

SDIEV= 47/4=11.75 112 AND 108

2(11.75)=23.50

Hope this helps, Oscar