Question

The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the mean, median, mode, and standard deviation. Round to one decimal place as needed.
19, 22, 26, 27, 30, 32, 35, 35

Mean =


Median =


Mode =


Standard Deviation =

Answer 1

The mean of the samples is 28.25.

The median of the samples is 28.5

The mode of the samples is 35

The standard deviation of the samples is 5.47.

Mean of the data points

The mean for highway mileage (mpg) for a sample of 8 different models of a car company is calculated as follows;

mean = (19 + 22, 26, 27, 30, 32, 35, 35)/8

mean = 28.25

Median of the data points

The median is calculated as;

median = (27 + 30)/2 = 28.5

Mode of the data points

mode = 35 (it has the highest frequency)

Standard deviation

∑(x - x')² = (19 - 28.25)²  +  (22 - 28.25)² + (26 - 28.25)² + (27 - 28.25)² + (30 - 28.25)²  + (32 - 28.25)² + (35 - 28.25)² + (35 - 28.25)²

∑(x - x')² = 239.5

S.D = √[(∑(x - x')² / N]

S.D = √(239.5/8)

S.D = 5.47

Learn more about standard deviation here: brainly.com/question/475676

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