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?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A mean =%0D%0A$318.00%0D%0A median =%0D%0A$339.20%0D%0A mode =%0D%0A$445.20%0D%0A range =%0D%0A $21.20%0D%0A mean = $318.00 median = $339.20 mode = $445.20 range = $21.20%0D%0A%0D%0A mean =%0D%0A $339.20%0D%0A median =%0D%0A $318.00%0D%0A mode =%0D%0A $445.20%0D%0A range =%0D%0A $243.80%0D%0A mean = $339.20 median = $318.00 mode = $445.20 range = $243.80%0D%0A%0D%0A mean =%0D%0A $339.20%0D%0A median =%0D%0A $318.00%0D%0A mode =%0D%0A $445.20%0D%0A range =%0D%0A $21.20%0D%0A mean = $339.20 median = $318.00 mode = $445.20 range = $21.20%0D%0A%0D%0A mean =%0D%0A $445.20%0D%0A median =%0D%0A $318.00%0D%0A mode =%0D%0A $339.20%0D%0A range =%0D%0A $243.80%0D%0A mean = $445.20 median = $318.00 mode = $339.20 range = $243.80
Let's calculate the total cost of each camera including the sales tax. The sales tax rate is 6%. To find the total cost of a camera, you multiply the price of the camera by 1.06 (since 6% is 0.06, and adding this to 1 accounts for the original price plus the tax).
Total cost of each camera model:
- $190.00 camera: $190.00 * 1.06 = $201.40
- $420.00 camera: $420.00 * 1.06 = $445.20
- $270.00 camera: $270.00 * 1.06 = $286.20
- $300.00 camera: $300.00 * 1.06 = $318.00
- $420.00 camera: $420.00 * 1.06 = $445.20
Now we have the following total costs: $201.40, $445.20, $286.20, $318.00, and $445.20.
To find the mean (average), we sum these amounts and divide by the number of observations:
Mean = ($201.40 + $445.20 + $286.20 + $318.00 + $445.20) / 5
Mean = $1696.00 / 5
Mean = $339.20
The median is the middle number when all the numbers are arranged in order, which is:
Ordered total costs: $201.40, $286.20, $318.00, $445.20, $445.20
There are five numbers, so the median is the third value: $318.00
The mode is the number that appears most often. In this case, it is $445.20, as it appears twice.
The range is the difference between the highest and lowest values:
Range = $445.20 - $201.40
Range = $243.80
Therefore, the correct response should be:
Mean = $339.20
Median = $318.00
Mode = $445.20
Range = $243.80