Question

Since 1930, the FIFA Men's World Cup winners have scored anywhere from 70 up to 171 goals through the tournament. Suppose that we randomly select three of the previous winners, and the total goals for those winners are 93, 85, and 82. Find the standard deviation, and round to 1 decimal place if needed.

Answer 1

Given that the sample size,n=3 (small sample) Samples are 93 85 82 Xx: _93+85+82 Mean of the sample = = 86.7 3 Variance of the sample, Sa = (x-7) n-1 (93-86.7)2 + (85-86.7)* +(82-86.7) (8-1) 64.67 32.335= 32.3 2 Standard deviation S = V Variance = V32.3 = 5.6862 = 5.7 = The standard deviation is 5.7