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?
First, let's calculate the total cost of the cameras before sales tax:
$190.00 + $420.00 + $270.00 + $300.00 + $420.00 = $1600.00
Now, let's calculate the total cost of the cameras after sales tax:
Total cost = $1600.00 + (6% of $1600.00)
Total cost = $1600.00 + $96.00
Total cost = $1696.00
Now, let's find the mean, median, mode, and range of the total cost of the cameras:
Mean:
Mean = Total cost / Number of cameras
Mean = $1696.00 / 5
Mean = $339.20
Median:
To find the median, we need to arrange the total cost in ascending order:
$190.00, $270.00, $300.00, $420.00, $420.00
Since there are an odd number of values, the median is the middle value, which is $300.00.
Mode:
The mode is the value that appears most frequently in the set of data. In this case, the mode is $420.00, as it appears twice.
Range:
Range is calculated by subtracting the smallest value from the largest value.
Range = $420.00 - $190.00
Range = $230.00
Therefore, the mean is $339.20, the median is $300.00, the mode is $420.00, and the range is $230.00.