A scientist calculated the mean and standard deviation of a data set to be Mu = 120 and Sigma = 9. She then found that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?

Question

Giovanny Suarez

Mathematics

18 July, 19:51

A scientist calculated the mean and standard deviation of a data set to be Mu = 120 and Sigma = 9. She then found that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?

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Answers (2)

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Haley Noble · Answer 1

The missing data value is 147

Step-by-step explanation:

The mean is 120

The standard deviation is 9

Missing data value = ?

From the question, the missing data value is 3 standard deviation away from the mean.

3 standard deviation = 3 * 9 = 27

3 standard deviation from the mean = 120 + 27 = 147

The missing data value is what we get after adding 3 standard deviation from the mean.

Away here means ahead which is sum.