Question

The highest temperatures measured at Death Valley, California, from 1995 to 2004 are given as a dataset. 127, 125, 125, 129, 123, 126, 127, 128, 128, 125 Find the range and the interquartile range of the dataset. (1 point) The range is , and interquartile range is .

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the range, we need to subtract the smallest value from the largest value in the dataset:

Range = 129 - 123 = 6

To find the interquartile range, we first need to find the first and third quartiles.
1. Arrange the dataset in ascending order: 123, 125, 125, 125, 126, 127, 127, 128, 128, 129
2. Calculate the median of the dataset. Since there are 10 values, the median is the average of the 5th and 6th values: (126 + 127)/2 = 126.5
3. The first quartile (Q1) is the median of the lower half of the dataset. The lower half is 123, 125, 125, 125, 126. Q1 is the median of these values, which is the average of the 2nd and 3rd values: (125 + 125)/2 = 125
4. The third quartile (Q3) is the median of the upper half of the dataset. The upper half is 127, 127, 128, 128, 129. Q3 is the median of these values, which is the average of the 3rd and 4th values: (127 + 128)/2 = 127.5
5. Calculate the interquartile range by subtracting Q1 from Q3: IQR = 127.5 - 125 = 2.5

Therefore, the range is 6 and the interquartile range is 2.5 for the given dataset.