Knowee
Questions
Features
Study Tools

What is the standard deviation of the following list?34,1,23,4,3,3,12,4,3,1Please enter at least 3 digits after the decimal

Question

What is the standard deviation of the following list?

34, 1, 23, 4, 3, 3, 12, 4, 3, 1

Please enter at least 3 digits after the decimal.

🧐 Not the exact question you are looking for?Go ask a question

Solution

To calculate the standard deviation of a list of numbers, follow these steps:

  1. Find the mean (average) of the numbers: (34 + 1 + 23 + 4 + 3 + 3 + 12 + 4 + 3 + 1) / 10 = 8.8

  2. Subtract the mean from each number to get the list of deviations: (34-8.8, 1-8.8, 23-8.8, 4-8.8, 3-8.8, 3-8.8, 12-8.8, 4-8.8, 3-8.8, 1-8.8) = (25.2, -7.8, 14.2, -4.8, -5.8, -5.8, 3.2, -4.8, -5.8, -7.8)

  3. Square each deviation to get the list of squared deviations: (25.2^2, -7.8^2, 14.2^2, -4.8^2, -5.8^2, -5.8^2, 3.2^2, -4.8^2, -5.8^2, -7.8^2) = (634.24, 60.84, 201.64, 23.04, 33.64, 33.64, 10.24, 23.04, 33.64, 60.84)

  4. Find the mean of these squared deviations. This is called the variance: (634.24 + 60.84 + 201.64 + 23.04 + 33.64 + 33.64 + 10.24 + 23.04 + 33.64 + 60.84) / 10 = 106.4

  5. Take the square root of the variance to get the standard deviation: sqrt(106.4) = 10.316

So, the standard deviation of the list is 10.316.

This problem has been solved

Similar Questions

Consider the following dataset: 9, 12, 15, 18, 21. What is the standard deviation of this dataset?a.3.6b.4c.4.24d.5.5

STANDARD DEVIATION A data set contains the following values: 11, 3, 5, 18, 1, 4, 7. Find the population variance. Round your answer to 4 decimal places.

Find the sample standard deviation for the datax 1 2 3 4 5 6 7 8 9 10f 384 208 98 56 28 12 8 2 3 1Round to three decimals.

The standard deviation of 25, 32, 43, 53, 62, 59, 48, 31, 24, 33 is(a) 13.23(b) 12.33(c) 11.33(d) none of these

The given data set includes 10, 15, 18, 22, 36 and 52. Calculate the Standard Deviation.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.