Question

Find the median, first quartile, third quartile, and interquartile range of the data.

Answer 1

Answer:

55, 26.5, 93, 66.5

Step-by-step explanation:

First put the values in order from least to greatest:

14, 25, 28, 38, 55, 66, 92, 94, 97

The median is the number in the middle of a data set when it's in order from least to greatest. In this case it's 55, because it's in the middle and has 4 values on either side of it.

The first quartile is the median of the values left of the median. There are 4 values, so there won't actually be a middle. So to find the median of the 4 values, find the mean of the middle 2. The median of 14, 25, 28, 38 is 26.5 because it is the mean of 25 and 28.

The third quartile is found the same way but using the values to the right of the median. The median of 66, 92, 94, 97 is 93 because it is the mean of 92 and 94.

The interquartile range is found by subtracting the first quartile from the third. 93 - 26.5 = 66.5

So the interquartile range is 66.5

Answer 2

Answer:

Median: 55

First quartile: 26.5

Third quartile: 93

Interquartile range: 66.5