The daily temperatures in New York City and Sacramento during 10 consecutive days are shown in the table. Which conclusion is true based on the given information?
New York City (°F) Sacramento (°F)
57 68
51                           72
26 75
42                           73
55 77
46                           80
36                           82
39                           75
36                           76
49                           73

Because the interquartile range of the data for New York City is less than the interquartile range of the data for Sacramento, the variability in temperature in New York City is lower.

Because the interquartile range of the data for New York City is greater than the interquartile range of the data for Sacramento, the variability in temperature in New York City is greater.

Because the mean temperature in New York City is higher than the mean temperature in Sacramento, the variability in temperature in New York City is greater.

Because the mean temperature in New York City is lower than the mean temperature in Sacramento, there is less variability in temperature in New York City.

Because the median temperature in New York City is greater than the median temperature in Sacramento, the variability in temperature in New York City is greater.

Because the interquartile range of the data for New York City is greater than the interquartile range of the data for Sacramento, the variability in temperature in New York City is greater.

What is the interquartile range?

The interquartile range is the difference between the third quartile and the first quartile.

Third quartile = 3/4(n + 1)

First quartile = 1/4 x (n + 1)

New York's temperature arranged in ascending order: 26, 36, 36, 39, 42, 46, 49, 51, 55, 57

Third quartile = 3/4 x 11 = 8.25 term = 51
First quartile = 1/4 x 11 = 2.75 terms = 36
Interquartile range = 51 - 36 = 15

Sacramento's temperature arranged in ascending order: 68. 72. 73, 73, 75, 75, 76, 77, 80, 82

Third quartile = 3/4 x 11 = 8.25 term = 77
First quartile = 1/4 x 11 = 2.75 terms = 73
Interquartile range = 77 - 73 = 4

To learn more about interquartile range, please check: https://brainly.com/question/3966385

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