a home improvement store kept track of the number of gallons of paint it sold each day in a week. 15 20 18…

a home improvement store kept track of the number of gallons of paint it sold each day in a week. 15 20 18 22 22 28 29 calculate the mean, median, range, and midrange of the number of gallons sold in a week. mean, 22; median, 22; range, 14; midrange, 22 mean, 22; median, 22; range, 22; midrange, 14 mean, 14; median, 22; range, 22; midrange, 22 mean, 22; median, 14; range, 22; midrange, 22

a home improvement store kept track of the number of gallons of paint it sold each day in a week. 15 20 18 22 22 28 29 calculate the mean, median, range, and midrange of the number of gallons sold in a week. mean, 22; median, 22; range, 14; midrange, 22 mean, 22; median, 22; range, 22; midrange, 14 mean, 14; median, 22; range, 22; midrange, 22 mean, 22; median, 14; range, 22; midrange, 22

Answer

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{15 + 20+18+22+22+28+29}{7}=\frac{154}{7}=22$

Step2: Calculate the median

Arrange the data in ascending - order: 15, 18, 20, 22, 22, 28, 29. Since $n = 7$ (odd), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{7+1}{2}=4$-th value, which is 22.

Step3: Calculate the range

The range is the difference between the maximum and minimum values. Range$=29 - 15=14$

Step4: Calculate the mid - range

The mid - range is $\frac{\text{Maximum}+\text{Minimum}}{2}=\frac{29 + 15}{2}=\frac{44}{2}=22$

Answer:

Mean, 22; Median, 22; Range, 14; Midrange, 22