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
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