The mean and standard deviation of a set of scores are 50 and 10 respectively. If each raw score is…
In descriptive statistics, adding a constant (k = 3) to every raw score in a distribution shifts the arithmetic mean by that exact constant (New Mean = 50 + 3 = 53).…
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The mean and standard deviation of a set of scores are 50 and 10 respectively. If each raw score is increased by 3, the new mean and standard deviation would be :
Answer and explanation
Correct answer C
In descriptive statistics, adding a constant (k = 3) to every raw score in a distribution shifts the arithmetic mean by that exact constant (New Mean = 50 + 3 = 53). However, standard deviation is invariant to a change of origin (addition or subtraction of a constant) because the spread between scores remains unchanged (New SD = 10), giving (53, 10).
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