Question

C)PLEASE MAN PEOPLE ARE USING ME FOR POINTS

Calculate the measures of spread for Mrs Hampton's class data. Justify your
response by describing the process used to find each measure, (2 points)

Answer 1

the one above is right lol

Explanation:

Answer 2

The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.

Interquartile Range:

Given the Data -> First Quartile = 2, Third Quartile = 5

Interquartile Range = 5 - 2 = 3

Range: 8 - 1 = 7

Variance:

We start by determining the mean,

`\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57`

n = number of numbers in the set

Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

`\sum _(i=1)^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571`

5.3

Standard Deviation

We take the square root of the variance,

`√(5.28571) = 2.29906`

2.3

If you are not familiar with variance and standard deviation, just leave it.