Question

A store sells five models of cameras for $190.00, $420.00, $270.00, $300.00, and $420.00. If the sales tax rate is 6%, what are the mean, median, mode, and range of the total cost of the cameras?

Answer 1

Answer: Mean = $339.2

Median =$ 318

Mode = $ 445.2

Range = $ 243.8

Step-by-step explanation:

Given: A store sells five models of cameras for $190.00, $420.00, $270.00, $300.00, and $420.00.

The sales tax = 6%=0.06

Then, the costs of the cameras after tax will be

$190+0.06\times190=201.4\\\\420+0.06\times420=445.2\\\\270+0.06\times270=286.2\\\\300+0.06\times300=318\\\\420+0.06\times420=445.2$

i.e. The total costs of the cameras will be 201.4, 445.2, 286.2, 318, 445.2

Now, Mean = $\dfrac{201.4+445.2+ 286.2+318+445.2}{5}=339.2$

Arrange in ascending order,

201.4, 286.2, 318,445.2, 445.2

Median = middle most value =318

Mode = Most repeated value = 445.2

Range = Largest - Smallest

= $445.2-201.4=243.8$

Answer 2

mean= $339.20

median= $318.00

mode= $445.20

range= $243.80