MATHEMATICS

JAMB 2002 - Question 49

Mathematics 2002 JAMB Past Questions - Question 49: Calculate the mean deviation of the set of number 7,3,14,9,7and 8

Calculate the mean deviation of the set of number 7,3,14,9,7and 8
Calculate the mean deviation of the set of number 7,3,14,9,7and 8
A:
B:
C:
D:
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Correct Answer

D

Explanation

To calculate the mean deviation of a set of numbers, we follow these steps:1. Find the mean of the set of numbers.2. Subtract the mean from each number in the set.3. Take the absolute value of each difference.4. Find the mean of the absolute differences.Given the set of numbers: 7, 3, 14, 9, 7, and 8Step 1: Find the meanMean = (7 + 3 + 14 + 9 + 7 + 8) / 6 = 48 / 6 = 8Step 2: Subtract the mean from each number7 - 8 = -13 - 8 = -514 - 8 = 69 - 8 = 17 - 8 = -18 - 8 = 0Step 3: Take the absolute value of each difference|-1| = 1|-5| = 5|6| = 6|1| = 1|-1| = 1|0| = 0Step 4: Find the mean of the absolute differencesMean deviation = (1 + 5 + 6 + 1 + 1 + 0) / 6 = 14 / 6 = 2.33 (rounded to two decimal places)Therefore, the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8 is approximately 2.33.