1. Find the mean and range of the following data. 14, 14, 15, 15, 16, 15, 15, 16
A 15; 2
B 15; 15
C 12; 15
D 12; 2

Option A) 15; 2

Step-by-step explanation:

The mean is the average of the numbers.

The mean is sum of terms/number of terms

[Here terms means the data]

= 14+14+15+15+15+15+16+16/8

= 120/8

= 15

The range of a set of data is the difference between the highest and lowest values in the set. To find the range, subtract the smallest value from the largest value in the set.

Smallest= 14

Greatest= 16

Therefore range=

16-14

= 2

Y= 4/5 x + 24
To find the rate of change you find the difference in each of the numbers on the graph. For example, 36-32 is 4. So 28-4 is 24 and that would be the next number down. It would also match x to be 0 because since the rate of change for x was 5, if you subtract 5 from 5 you get 0. So from this we know that the coordinates would be 0,5.
From this info, the slope would be 4/5 and the y intercept or initial value would be 24