Question

You are given

Answer 1

Answer:

a) Range: The range is easily calculated by subtracting the lowest value from the highest value in the data set.

R = Maximum -minimum = 9-3 = 6,   So, R=6

b) Mean is the sum of all values in data set divided by number of elements in the data set

Mean = sum of all elements/total elements = 49/8 = 6.125

Mean = 6.125

c) Variance and Standard Deviation:

Variance is a measure of by how much the values in the data set are likely to differ from the mean of the values.

$s^2 ={\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2$

$s^{2}$ = 3.6094

Standard Deviation is square root of variance which is 1.90

s=1.90

d) Ration of range and standard deviation is

Range/s = 3.16, SO the range is 3.16 times the standard deviation.