The given data set includes 10, 15, 18, 22, 36 and 52. Calculate the Standard Deviation.
Question
The given data set includes 10, 15, 18, 22, 36 and 52. Calculate the Standard Deviation.
Solution
Sure, here are the steps to calculate the standard deviation:
-
Calculate the Mean (Average): Add up all the numbers and then divide by the number of numbers. (10+15+18+22+36+52) / 6 = 25.5
-
Subtract the Mean and square the result (this is called the "squared deviation"). (10-25.5)^2 = 240.25 (15-25.5)^2 = 110.25 (18-25.5)^2 = 56.25 (22-25.5)^2 = 12.25 (36-25.5)^2 = 110.25 (52-25.5)^2 = 705.25
-
Calculate the average of those squared deviations. (240.25+110.25+56.25+12.25+110.25+705.25) / 6 = 205.75
-
Take the square root of that and we get the standard deviation. The square root of 205.75 is approximately 14.34.
So, the standard deviation of the given data set is approximately 14.34.
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
Below is a table showing data collected from a population. 12 15 13 4 2 9 8 16 22 16 16 12 Calculate the standard deviation. 5.37 5.62 11.25 6.26 None of the above
For the data set 6, 5, 10, 11, 13, the mean, x, is 9. What is the standard deviation?The formula for the sample standard deviation is 𝑠=1𝑛−1Σ(𝑥−𝑥ˉ)2s= n−11 Σ(x− xˉ ) 2 .Use the table to help you.Round your answer to the nearest tenth.
Use a calculator to find the standard deviation of this data set:8, 14, 13, 10, 17Round your answer to the nearest tenth.A.5B.12.4C.2.8D.3.5
The variance and mean for a given set of data is 25 and 64 respectively. Calculate the standard deviation.Select one:a.2.56b.8.00c.625d.5.00
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.