6. The scores on a statistics test had a mean of 81 and a standard deviation of

Question

6. The scores on a statistics test had a mean of 81 and a standard deviation of 9. One student was absent on the test day and his score wasn't included in the calculation. If his score of 78 was added to the distribution of scores, what would happen to the mean and standard deviation? (a) Mean will increase, standard deviation will decrease (b) Mean will increase, standard deviation will increase (c) Mean will decrease, standard deviation will stay the same (d) Mean will decrease, standard deviation will increase (e) Mean will decrease, standard deviation will decrease

Explanation / Answer

Since the observation is less than 81 and close to 81 therefore mean will decrease and standard deviations will also decrease.

Option E

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