Mathematics, 07.01.2020 03:31 jahnoibenjamin

Asample of size n=10n=10 is drawn from a population. the data is shown below.

138.8

116.4

97

114.2

138.8

100.4

128.8

138.8

101.9

117.6

what is the range of this data set?

range =

what is the standard deviation of this data set? (remember, it is a sample.) report the answer with appropriate rounding, rounding to two more decimal places than the original data. , , do not calculate the value by hand.

stdev =

Answers: 2

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Answer from: dontcareanyonemo

The range of this data set is 41.8

The standard deviation of the data set is 16.42

Step-by-step explanation:

* Lets read the information and use it to solve the problem

- There is a sample of size n = 10, is drawn from a population

- The data are: 97 , 100.4 , 101.9 , 114.2 , 116.4 , 117.6 , 128.8 , 138.8 ,

138.8 , 138.8

- The range is the difference between the largest number and

the smallest number

∵ The largest number is 138.8

∵ The smallest number is 97

∴ The range = 138.8 - 97 = 41.8

* The range of this data set is 41.8

- Lets explain how to find the standard deviation

# Step 1: find the mean of the data set

∵ The mean = the sum of the data ÷ the number of the data

∵ The data set is 97 , 100.4 , 101.9 , 114.2 , 116.4 , 117.6 , 128.8 , 138.8 ,

138.8 , 138.8

∵ Their sum = 97 + 100.4 + 101.9 + 114.2 + 116.4 + 117.6 + 128.8 + 138.8 +

138.8 + 138.8 = 1192.7

∵ n = 10

∴ The mean = 1192.7 ÷ 10 = 119.27

# Step 2: subtract the mean from each data and square the answer

∴ (97 - 119.27)² = 495.95

∴ (100.4 - 119.27)² = 356.08

∴ (101.9 - 119.27)² = 301.72

∴ (114.2 - 119.27)² = 25.70

∴ (116.4 - 119.27)² = 8.24

∴ (117.6 - 119.27)² = 2.79

∴ (128.8 - 119.27)² = 90.82

∴ (138.8 - 119.27)² = 381.42

# Step 3: find the mean of these squared difference

∵ A Sample: divide by n - 1 when calculating standard deviation of

a sample

∵ The mean = the sum of the data ÷ (the number of the data - 1)

∵ The sum = 495.95 + 356.08 + 301.72 + 25.70 + 8.24 + 2.79 + 90.82 +

381.42 + 381.42 + 381.42 = 2425.56

∴ The mean = 2425.56 ÷ (10 - 1) = 269.51

# Step 4: the standard deviation is the square root of this mean

∴ The standard deviation = √(269.51) = 16.416658 ≅ 16.42

* The standard deviation of the data set is 16.42

Answer from: Quest

the 3rd option is right

step-by-step explanation:

Answer from: Quest

Ithink the answer is discovery verbs because they are quite similar to the verb 'discovering'
What subcategory best fits the following words from list 2?

What subcategory best fits the following words from list 2?

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Asample of size n=10n=10 is drawn from a population. the data is shown below.

138.8

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