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.
