Find the median of each set of numbers.
#14. 1, 4, 9, 15, 25, 36

Find the mode of each set of numbers.
#18. 41, 43, 56, 67, 69, 72

#20. 9, 8, 10, 9, 9, 10, 8

Solve the following applications.
24. Statistics. A salesperson drove 238, 159, 87, 163, and 198 miles (mi) on a 5-day trip. What was the mean number of miles driven per day?

#36 Business and finance.
The following scores were recorded on a 200-point final examination:
193, 185, 163, 186, 192, 135, 158, 174, 188, 172, 168, 183, 195, 165, 183.
(a) Find the mean final examination score.
(b) Find the median final examination score.
(c) Is the mean or median a more useful representative of the final examination scores? Write a brief paragraph justifying your response.

Solution Preview

#14.

Median of 1, 4, 9, 15, 25, 36 = 12

#18.

Mode of 41, 43, 56, 67, 69, 72 = N/A, all are equal occurrences

Mode of 9, 8, 10, 9, 9, 10, 8 = 9

#24.

169 miles

#36.

(a) Mean = 176
(b) Median = 183
(c) Mean and median are measures of central tendency in a data set. Mean and median both examine where, in a data set, numbers are likely to occur with the most frequency. However, depending upon the type of data set, one can be a better way than another of evaluating data and coming up with statistical results.

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