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

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

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

you first to choose the points and then move from then as the slope you have