Middle School

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

Data set: 203, 183, 212, 181, 157, 204, 189, 190

A. Median: 189, First Quartile: 182, Third Quartile: 203.5, IQR: 21.5

B. Median: 189.5, First Quartile: 182, Third Quartile: 203, IQR: 21

C. Median: 189, First Quartile: 182, Third Quartile: 203, IQR: 21

D. Median: 189.5, First Quartile: 182, Third Quartile: 203.5, IQR: 21.5

Answer :

Final answer:

The median is 189, the first quartile is 182, the third quartile is 203.5, and the interquartile range is 21.5.

Explanation:

Median:

The median is the middle value of the data when it is arranged in numerical order. In this case, the median is 189.

First Quartile:

The first quartile is the median of the lower half of the data. To find it, we divide the data into two halves and find the middle value of the first half. The first quartile is 182.

Third Quartile:

The third quartile is the median of the upper half of the data. To find it, we divide the data into two halves and find the middle value of the second half. The third quartile is 203.5.

Interquartile Range (IQR):

The interquartile range is the difference between the third quartile and the first quartile. In this case, the IQR is 21.5.

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