A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is th

Question

jolli1

2 months ago

14

A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is th

e sum of the squared deviations of the scores from the mean?

Mathematics

2 answers:

Leona [12.6K] · Answer 1 · 2026-02-16T09:29:09+03:00

Leona [12.6K]2 months ago

8 0

Answer:

26

Step-by-step explanation:

tester [12.3K] · Answer 2 · 2026-02-16T09:27:36+03:00

Answer:

26

Step-by-step explanation:

The average of a collection of numbers is termed the mean; it is obtained by dividing the total sum of the numbers by the count of numbers.

The standard deviation reflects how much a set of numbers varies from the mean. A low standard deviation indicates that the values are close to the mean, while a high standard deviation suggests they are more dispersed. The formula for standard deviation is:

$\sigma=\sqrt{\frac{\Sigma (x_i-\mu)^2}{n} }\\ \\\mu=mean,n=number\ of\ terms, \sigma=standard\ deviation$

Taking into account the figures:

86, 81, 87, 82. mean = μ = 84

$\Sigma(x_i-\mu)^2=(86-84)^2+(81-84)^2+(87-84)^2+(82-84)^2=4+9+9+4=26$

Sum of squared deviations = 26