A sample of size n = 10 is drawn from a population. The data is shown below. 66.8 58.2 83.3 83.3 44.2 83.3 76.4 54.3 65.2 62.9 What is the range of this data set? range = What i…

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asked Feb 9, 2024 55.1k views

2 Answers

Ranhiru Jude Cooray · Answer 1 · 2024-02-11T03:56:32+0000

Answer:

Explanation:

a. 66.8 58.2 83.3 83.3 44.2 83.3 76.4 54.3 65.2 62.9

Range = highest value - lowest

= 83.3 - 44.2 = 39.1.

b. Mean m = 677.9 / 10

= 67.8

Differences from the mean

= 66.8 - 67.8 = -1.0

-9.6

15.5

-23.6

15.5

8.6

-13.5

-2.6

-4.9

Now we sqare the above vales:

= 1 , 92.16, 240.25, 240.25, 240.25, 556.96, 73.96, 182.25, 6.76, 24.01

Now the sm of these is 1657.85

Now we divide this by 10 and find the sqare root

= √(165.785)

= 12.86.

Standrad deviation is 12.86.