If the scores of 3 students in a test are 5, 6 and 7, find the standard deviation of their scores

Assessment: JAMB UTME - Mathematics - 1992 Subject: General Mathematics

Question 1 Report

If the scores of 3 students in a test are 5, 6 and 7, find the standard deviation of their scores
Answer Details
To find the standard deviation of the scores, we need to first calculate the mean (average) of the scores: mean = (5 + 6 + 7) / 3 = 6 Next, we calculate the deviation of each score from the mean: deviation of 5 = 5 - 6 = -1 deviation of 6 = 6 - 6 = 0 deviation of 7 = 7 - 6 = 1 To calculate the standard deviation, we take the square root of the average of the squared deviations: standard deviation = √[(1^2 + 0^2 + (-1)^2) / 3] = √(2/3) ≈ 0.82 Therefore, the answer is option (D), √(2/3).

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