Question

Robert plans to make a box-and-whisker plot of the following set of data.

27, 14, 46, 38, 32, 18, 21

Find the lower quartile, the median, and the upper quartile of the set?

lower quartile: 19.5; median: 29.5; upper quartile: 42
lower quartile: 14; median: 27; upper quartile: 46
lower quartile: 18; median: 27; upper quartile: 38
lower quartile: 16; median: 29.5; upper quartile: 42

Answer 1

lower quartile: 18; median: 27; upper quartile: 38

Explanation:

Answer 2

lower quartile: 18; median: 27; upper quartile: 38

Explanation:

The given set of data is

27, 14, 46, 38, 32, 18, 21

Arrange this set of data in numeric order

14,18,21,27,32,38,46

The given set of data has 7 numbers which is odd.

Median in the middle value. The middle value of the data is fourth value which is 27.

Hence, median = 27

Now, the first half of the set of data is

14,18,21

Middle value = 18

Hence, lower quartile = 18

The second half is 32,38,46

Middle value = 38

Hence, uper quartile = 38

Thus, the correct option is

lower quartile: 18; median: 27; upper quartile: 38