Question

Find the mean, variance, and standard deviation for the following data set. Round to the nearest
tenth.

55,87, 62, 85, 93, 75

(1 point)

mean = 76.2

variance = 188.1

standard deviation = 15.0

mean = 76.2

O variance = 188.1

standard deviation = 13.7

mean = 87.5

variance = 73

standard deviation = 8.5

Answer 1

To find the mean, add up all the numbers in the data set and divide by the total number of values:

(55 + 87 + 62 + 85 + 93 + 75) / 6 = 457 / 6 = 76.2

To find the variance, first calculate the squared differences between each data point and the mean, then average these squared differences:

(55-76.2)^2 + (87-76.2)^2 + (62-76.2)^2 + (85-76.2)^2 + (93-76.2)^2 + (75-76.2)^2 = 1881.2

Variance = 1881.2 / 6 = 188.1

To find the standard deviation, take the square root of the variance:

Standard deviation = √188.1 ≈ 13.7

Therefore, the correct calculations are:

mean = 76.2
variance = 188.1
standard deviation = 13.7