Score (x) 0 1 2 3 4 5 6
Freq (f) 5 7 3 7 11 6 7
Find the variance of the above data
  • A 3.42
  • B 4.69
  • C 4.85
  • D 3.72
jamb 2019mathematics

The correct answer is D. 3.72

x f fx (x - x̄) (x - x̄)² f(x - x̄)²
0 5 0 -3.26 10.628 53.14
1 7 7 -2.26 5.108 35.756
2 3 6 -1.26 1.588 4.764
3 7 21 -0.26 0.068 0.476
4 11 44 0.74 0.548 6.028
5 6 30 1.74 3.028 18.168
6 7 42 2.74 7.508 52.556
46 150 170.888
Variance = ∑f(x - x̄)² / ∑f Using the values from the table: Variance = 170.888 / 46 ≈ 3.72 Therefore, the variance of the given data is approximately 3.72. Previous question Next question