Mathematics, 20.09.2020 17:01 Jazongamez1987

Consider the following population data:. 40 44 17 14 26
a. Calculate the range.
Range
b. Calculate MAD. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
MAD
c. Calculate the population variance. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Population variance
d. Calculate the population standard deviation. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Population standard deviation

Answers: 2

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Answers

Answer from: PLEASEHELP4528

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

Answer from: Quest

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a) |-1|, |3/2|, |-2|, |-3|, |3.5|

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Consider the following population data:. 40 44 17 14 26
a. Calculate the range.
Range <...

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