Calculate the mean deviation of the first five prime numbers.

JAMB Mathematics 2023 46 views

Calculate the mean deviation of the first five prime numbers.

  1. 13.6
  2. 5.6
  3. 5.25
  4. 2.72 ✓

Explanation

Step 1: List first five prime numbers
2, 3, 5, 7, 11

Step 2: Calculate the mean
Mean = (2 + 3 + 5 + 7 + 11) ÷ 5
= 28 ÷ 5
= 5.6

Step 3: Find absolute deviations from mean
|2 – 5.6| = 3.6
|3 – 5.6| = 2.6
|5 – 5.6| = 0.6
|7 – 5.6| = 1.4
|11 – 5.6| = 5.4

Step 4: Sum the absolute deviations
Sum = 3.6 + 2.6 + 0.6 + 1.4 + 5.4
= 13.6

Step 5: Calculate mean deviation
Mean deviation = Sum of absolute deviations ÷ Number of values
= 13.6 ÷ 5
= 2.72

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