CRAUDQL3 6.1.022.

Question

An auto dealer’s sales numbers are shown in the table below. Find for each month the mean, median, and mode prices of the cars she sold. Round your answers to the nearest dollar.

Price. (May) (June) (July)

$20,000. 22. 25. 24

$15,000. 49. 24. 24

$11,500 25. 49. 49

Answer 1

Mean:

For May, she sold 22 cars at $20k, 49 at $50k, and 25 at 11.5k. So here's how you find the mean:

[ (22 x 20,000) + (49 x 50,000) + (25 x 11,500) ] ÷ [ 22 + 49 + 25]

The numerator finds the weighted total (by price) and the denominator divides that by the total number of cars

sold. Do the same for June and July.

Median:

For May, calculate (22 + 49 + 25) ÷ 2. This will give you a value for half of the cars sold. Now count from

either the top price downward or from the lowest price upward until you reach that half-way number.

Whichever price range that car falls in is the median price. Repeat for June and July.

Mode:

Mode is the easiest. For each month, pick the price that has the most cars. That price is your mode for that month.