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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.
20, 22, 26, 27, 30, 31, 35, 35
Mean =
Median =
Mode =
Standard Deviation =

Sagot :

kieranoid2017

Mean =

Median =4

Mode =35

Standard Deviation =

varshamittal029

Mean = 28.3 , Median = 28.5, Mode = 35, Standard deviation = 5.2

(All of the above are rounded off to one decimal place)

How to find mean, median, mode ?

The given data are : 20, 22, 26, 27, 30, 31, 35, 35

We know that, mean = (sum of samples)/(no. of samples)

                                   = (20+22+26+27+30+31+35+35)/8

                                   = 226/8 = 28.25 = 28.3 (approx)

Here, median = (sum of 4th & 5th sample)/2

                       = (27+30)/2 = 57/2 = 28.5

Since 35 appears highest number of times, i.e. 2 times, then we can say that mode is equals to 35

What is the required standard deviation ?

Standard deviation = √{(20-28.3)²+(22-28.3)²+(26-28.3)²+(27-28.3)²+(30-28.3)²+(31-28.3)²+(35-28.3)²+(35-28.3)²}/8

= √{68.89+39.69+5.29+1.69+2.89+7.29+44.89+44.89}/8

= √(215.52/8) = √(26.94) = 5.190 = 5.2 (approx)

Learn more about mean, median, mode, and standard deviation here :

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