Question

Use the data from problem:

Answer 1

Answer:

a) Sample mean: 48.71

Sample median: 48.3

Sample variance: 5.41

Sample standard deviation: 2.37

Step-by-step explanation:

a) Sample mean:

$\bar{X}=\frac{1}{N} \sum X_i=\frac{1}{80}*3896.9=48.71$

Sample median: M=48.3

Note: I order the data increasingly and take the value N / 2 = 40. In this way there are 39 values above and 39 values below the median.

Sample variance:

$s^2=\frac{1}{N-1}\sum (X_i-\bar X)^2 =(\frac{1}{80-1})*427.74=5.41$

Sample standard deviation

$s=\sqrt{s^2}=\sqrt{5.41}=2.37$

b)