Question

calculate the mean, median, and mode of the following data set. the scheuren family drove through 7 midwestern states on their summer vacation. gasoline prices varied from state to state. $1.89, $1.71, $1.26, $2.08, $2.08, $1.29, $1.71, $1.99

Answer 1

Mean:

Mean is the statistical average of a series of data.

Mean = ∑X/N

∑X = Summation of given data

N = Number of data

Mean = ($ 1.89 + $ 1.71 + $ 1.26 +$ 2.08 + $ 2.08 + $ 1.29 + $ 1.71 + $ 1.99)/8

= $ 14.01/8 = $ 1.75125

Median:

The median is the middle number in a data series, arranged either in ascending or descending order.

For an even no. of data series Median = [(n/2)^th term + (n/2 + 1)^th term]/2

n = No. of data in the series = 8

On rearranging data in ascending order, we get:

$ 1.26, $ 1.29, $ 1.71, $ 1.71, $ 1.89, $ 1.99, $ 2.08, $ 2.08

Median = [(8/2) ^th term + (8/2 + 1) ^th term]/2

           = [4^th term + (4 + 1) ^th term]/2

           = [4^th term + 5^th term]/2

           = ($ 1.71 + $ 1.89)/2

           = $ 3.60/2 = $ 1.80

Mode:

Mode is the most frequently occurring value in a series.

$ 1.71 and $ 2.08 both are repeated two times. So

Mode = $ 1.71, $ 2.08