Question

The distances (in yards) for nine holes of a golf course are listed.

Answer 1

Answer:

A.) 358; 375

B.) 1074 ; 1125

C.) Both the mean and median values in feets could be obtained by just multiplying the values in yards by 3

D.) If we have our median and mean of thee original dataset in inches, we just divide the values by 36 to get our mean and median values in yard.

Step-by-step explanation:

Given the data (in yards)

Rearranged data : x (in yards) :

441, 531, 1008, 1080, 1125, 1179, 1224, 1512, 1566

Mean, m : Σx/n

ΣX = 3222 ; n = sample size, n = 9

m = 3222 / 9

m = 358

Median :

0.5(n +1) th term

0.5(9 + 1)th term

0.5(10) = 5th term = 375

Converting the data to feets :

147, 177, 336, 360, 375, 393, 408, 504, 522

1 yard = 3 feets

In Feets:

441, 531, 1008, 1080, 1125, 1179, 1224, 1512, 1566

Mean, m : Σx/n

ΣX = 9666 ; n = sample size, n = 9

m = 9666 / 9

m = 1074

Median :

0.5(n +1) th term

0.5(9 + 1)th term

0.5(10) = 5th term = 1125

C) Both the mean and median values in feets could be obtained by just multiplying the values in yards by 3

D.) since 1 yard = 36 inches

If we have our median and mean of thee original dataset in inches, we just divide the values by 36 to get our mean and median values in yard.