The highest temperature measured at death valley California from 1995 to 2004 given as a data set 127 125 125 129 123 126 127 128 125 find the range and the interquartile range of the data set the range is blank and the interquartile range is blank

1 answer

The range is calculated by subtracting the smallest value from the largest value in the data set.

Range = 129 - 123 = 6

To find the interquartile range, we need to first find the first and third quartiles.

First, we need to order the data set from smallest to largest:

123, 125, 125, 125, 126, 127, 127, 128, 129

The median of the entire data set is (125 + 126)/2 = 125.5.

Now, we need to find the median of the lower half of the data set. Since there are an even number of data points, we take the average of the two middle points:

125, 125, 125, 126

Lower quartile = (125 + 125)/2 = 125

Next, we find the median of the upper half of the data set:

127, 127, 128, 129

Upper quartile = (127 + 128)/2 = 127.5

Finally, we calculate the interquartile range by subtracting the lower quartile from the upper quartile:

Interquartile range = 127.5 - 125 = 2.5

Therefore, the range of the data set is 6 and the interquartile range is 2.5.