Maths · Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data
The variance of the data 6,8,10,12,14,16,18,20,22,24 is
The variance of the data 6,8,10,12,14,16,18,20,22,24 is
- A. 15
- B. 20
- C. 30
- D. 33
Step-by-step solution
The data is an arithmetic progression with 10 terms: 6,8,10,12,14,16,18,20,22,24. Mean = (6+24)/2 = 15. Sum of squared deviations: (-9)^2+(-7)^2+(-5)^2+(-3)^2+(-1)^2+1^2+3^2+5^2+7^2+9^2 = 81+49+25+9+1+1+9+25+49+81 = 330. Variance = 330/10 = 33.
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