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The following are the marks obtained in a class test by a student: 10, 12, 15, 15, 18, 20, 20, 20, 23. The variance is?

Solution

✅ Correct Option: 3

Sum =153= 153, n=9n = 9, so mean =17= 17.

Deviations: −7,−5,−2,−2,1,3,3,3,6-7, -5, -2, -2, 1, 3, 3, 3, 6.

Sum of squares =49+25+4+4+1+9+9+9+36=146= 49 + 25 + 4 + 4 + 1 + 9 + 9 + 9 + 36 = 146.

Variance =1469≈16.2= \frac{146}{9} \approx 16.2.

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