Question

Lesson 6.03: The mean weight of baby deer at a local zoo is 15.8 lbs, with a standard deviationof 2.4 lbs. A researcher records the weight of the following five baby deer. 14.5 lbs, 16.8 lbs, 15 lbs,16.4 lbs, and 15.9 lbs. SHOW ALL WORK!A) Find aB) Finds

Answer 1

The sample mean can be calculated using:

`\bar{x}=(\Sigma x)/(n)`
`=(14.5+16.8+15+16.4+15.9)/(5)`
`=(78.6)/(5)`
`=15.72`

To find the standard standard deviation S, we will use the formula below:

`S=\sqrt[]{\frac{\Sigma(x_i-\bar{x})^2}{n-1}}`
`=\sqrt[]{((14.5-15.72)^2+(16.8-15.72)^2+(15-15.72)^2+(16.4-15.72)^2+(15.9-15.72)^2)/(5-1)}`
`=\sqrt[]{((-1.22)^2+1.08^2+(-0.72)^2+0.68^2+0.18^2)/(4)}`
`=\sqrt[]{(1.4884+1.1664+0.5184+0.4624+0.00324)/(4)}`
`=\sqrt[]{(3.668)/(4)}`
`=\sqrt[]{0.917}`
`\approx0.9576`