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Select the correct answerRuns scored by batsman in 5 one day matches are 50, 70, 82, 93, and 20. The standard deviation is ______Options25.6925.2925.4925.79

Question

Select the correct answerRuns scored by batsman in 5 one day matches are 50, 70, 82, 93, and 20. The standard deviation is ______Options25.6925.2925.4925.79

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Solution

To find the standard deviation, follow these steps:

  1. Find the mean (average) of the data set. Add all the numbers together and divide by the number of items. In this case, (50 + 70 + 82 + 93 + 20) / 5 = 63.

  2. Subtract the mean from each number to get the deviation of each number. This gives us -13, 7, 19, 30, -43.

  3. Square each deviation to get the squared deviations. This gives us 169, 49, 361, 900, 1849.

  4. Find the mean of these squared deviations. Add them all together and divide by the number of items. (169 + 49 + 361 + 900 + 1849) / 5 = 665.6.

  5. Take the square root of this mean squared deviation. The square root of 665.6 is approximately 25.79.

So, the standard deviation is approximately 25.79. Therefore, the correct answer is 25.79.

This problem has been solved

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