Question

Challenge. Add a number to the original data set based on the instructions below:

Answer 1

Answer:

A) 23

B) 75

C) 6.30

Step-by-step explanation:

A) Range = highest value - least value

Range = 20

least value = 3

Thus,

20 = highest value - 3

highest value = 20 + 3

                      = 23

The number that would make the range of the data set 20 is 23.

B) Let the number be represented by x, so that;

15 = $\frac{3 + 10 + 8 + 3 + 10 + 1 + 10 + x}{8}$

cross multiply to have

15 x 8 = 45 + x

120 - 45 = x

x = 75

The number that would make the mean of the data set 15 is 75.

C) The given data plus a number that is close to the mean would reduce the standard deviation.

mean of the data set = $\frac{3+10+8+3+10+1+10}{7}$

                                   = 6.43

The required number could be 6.30