Answer:
a. 30
b. 11.04
c. 144.16
d. 12.00
Step-by-step explanation:
40 44 17 14 26
Rearrange the data
14, 17, 26, 40, 44
a. Calculate the range.
Range
Range can calculated as:
Maximum value - Minimum value
= 44 - 14
= 30
b. Calculate MAD. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
MAD
The formula for MAD( Mean Absolute Deviation) = x - Mean/5
Step 1
We find the mean
Mean = Sum of terms/ Number of terms
14 + 17 + 26 + 40 + 44/5
= 141/5
= 28.2
Step 2
Mean Absolute Deviation of the Population =
|14 - 28.2| + |17 - 28.2| + |26 - 28.2| + |40 - 28.2| + |44 - 28.2|
= 14.2 + 11.2 + 2.2 + 11.8 + 15.8/5
= 11.04
c. Calculate the population variance. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Population variance
The formula for Population variance
= (x - Mean)²/n
n = 5
Population variance = (14 - 28.2)² + (17 - 28.2)² + (26 - 28.2)² + (40 - 28.2)²+ (44 - 28.2)²/5
= 201.64 + 125.44 + 4.84 + 139.24 + 249.64/ 5
= 720.8/5
d. Calculate the population standard deviation. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Population standard deviation
Population Standard deviation formula = √ Population Variance
= √144.16
= 12.00666482
Approximately to 2 decimal places
= 12.00
