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.
[tex]s^2 ={\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2$[/tex]
[tex]s^{2}[/tex] = 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.
