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victus00 [196]
3 years ago
5

Calculate the variance and the standard deviation of the data below 23. 19, 22, 30, 28

Mathematics
1 answer:
Alina [70]3 years ago
7 0

To get the variance, start with finding the mean of your data points:

(23 + 19 + 22 + 30 + 28) / 5 = 24.4

Now take each data point and subtract the mean from it, then square that value:

23 - 24.4 = -1.4 * -1.4 = 1.96

19 - 24.4 = -5.4 * -5.4 = 29.16

22 - 24.4 = -2.4 * -2.4 = 5.76

30 - 24.4 = 5.6 * 5.6 = 31.36

28 - 24.4 = 3.6 * 3.6 = 12.96

Now get the average of those new numbers. That is your variance:

(1.96 + 29.16 + 5.76 + 31.36 + 12.96) / 5 = 16.24

The standard deviation will be the square root of the variance:

√(16.24) = 4.0299 (rounded to 4DP)

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Which of the following number 1001,1002,1004 will be the sum of 994 and a 2 digit number
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The number that will be the sum of 994 and a 2 digit number is 1004 (option 3). Details about digits of numbers can be found below.

<h3>What is a 2-digit number?</h3>

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A 2-digit number is any number between 10 and 99.

According to this question, 994 is said to be added to a 2 digit number to result into either 1001, 1002 or 1004.

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  • 1002 - 994 = 8 (1 digit)
  • 1004 - 994 = 10 (2 digit)

Therefore, the number that will be the sum of 994 and a 2 digit number is 1004.

Learn more about number at: brainly.com/question/17429689

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