Median: the middle number, or average of the two middle numbers, when placed in order from least to greatest.
Range: the difference between the greatest and least values.
Interquartile Range: the difference between the first quartile and third quartile.
First, we will write the data in numerical order.
68, 71, 71, 71, 72, 73, 74, 74, 75, 75, 79
Median
The median is the middle number, or the average of the two middle numbers, when placed in order from least to greatest.
68, 71, 71, 71, 72, 73, 74, 74, 75, 75, 79
Since there is an odd number of temperatures, the median is the middle number, which is 73.
Range
The range is the difference between the greatest and least values.
68, 71, 71, 71, 72, 73, 74, 74, 75, 75, 79
The difference between 79 and 68 is 11.
Interquartile Range
To find the interquartile range, we need to find the median of the lower half, the first quartile, and the median of the upper half, the third quartile.
Median_L Median_U
↓ ↓
68,71,71,71,72, 73, 74,74,75,75,79
Lower Half Upper Half
The first quartile is 71 and the third quartile is 75. The difference between the two values is 75-71=4.
Therefore, the interquartile range is 4.
