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
.
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Answer 1

[AI-generated answer — Bot GPT 3.5]

The range of the dataset is the difference between the highest and the lowest values. Calculating the range:

Range = 129 - 123 = 6

Next, the interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) of the dataset. To find the quartiles, we first need to arrange the data in ascending order.

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

Now, we can find the quartiles:

Q1 = 125 (the median of the lower half of the data)
Q3 = 128 (the median of the upper half of the data)

IQR = Q3 - Q1 = 128 - 125 = 3

Therefore, the interquartile range of the dataset is 3.