Chapter 0.9, Problem 2E

To determine

To find:The mean, median and mode for the set of data.

Answer to Problem 2E

Mean $=$ 13 centimeters

Median $=$ 13.5 centimeters

Mode $=$ 11 centimeters, 14 centimeters

Explanation of Solution

Given information:Height in centimeters of bean plants at the end of an experiment:

14.5, 12, 16, 11, 14, 11, 10.5, 14, 11.5, 15, 13.5

Calculation:

First we arrange the data in order:

10.5, 11, 11, 11.5, 12, 13.5, 14, 14, 14.5, 15, 16

Mean $=\frac{10.5+11+11+11.5+12+13.5+14+14+14.5+15+16}{11}=\frac{143}{11}=13$ centimeters

Mode $=$ 6^th term $=13.5$ centimeters

The values that occur most often in the set are 11 and 14, so the mode of the data set is 11 centimeters and 14 centimeters.

Thus,

Mean $=$ 13 centimeters

Median $=$ 13.5 centimeters

Mode $=$ 11 centimeters, 14 centimeters