The ages (in years) of a random sample of shoppers at a gaming store are given below: 12 19 23 14 20 16 21 18 14 19 What is the variance

the required variance is 11.6555

Step-by-step explanation:

Given data;

xi = 2 19 23 14 20 16 21 18 14 19

mean x" = 2+19+23+14+20+16+21+18+14+19 / 10

mean x" = 166 / 10 = 16.6

so;

X      xi - x"   (xi - x")²

12     -4.9     24.01

16     -0.9     0.81

23     6.1      37.21

13     -3.9     15.21

18      1.1       1.21

18      1.1       1.21

19      2.1      4.41

18      1.1       1.21

13     -3.9     15.21

19      2.1      4.41

Total           104.9

Variance =  n_i=1∑(xi - x")² / n-1

Variance = 104.9 / 9

Variance = 11.6555

Therefore, the required variance is 11.6555

rx and sx

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is