Question

The standard deviation of 25, 32, 43, 53, 62, 59, 48, 31, 24, 33 is(a) 13.23(b) 12.33(c) 11.33(d) none of these

Answer 1

Answer:

Option A.  13.23

Step-by-step explanation:

The Standard Deviation is a measure of how numbers are distributed

SD = √(Variance) = √(average of sum of square of mean difference)

SD = √(Sigma(x – mean)/N)

Given numbers are 25, 32, 43, 53, 62, 59, 48, 31, 24, 33

Mean = (25+32+43+53+62+59+48+31+24+33)/10 = 41

SD² = ((25-41)² + (32-41)² +(43-41)² +(53-41)² +(62-41)² +(59-41)² +(48-41)² +(31-41)² +(24-41)² +(33-41)²)/10

SD² = (16² + 9² + 2² + 12² + 21² + 18² + 7² + 10² + 17² + 8²)/10

SD² = 1752/10

SD = 13.23