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: 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
= \(445.2-201.4=243.8\)