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The high temperatures at a park for 10 days are 40, 42, 41, 41, 43, 43, 44, 45, 44, and 45 degrees Fahrenheit. What is the interquartile range of the data?

A. 4.5
B. 4
C. 5.5
D. 3
E. 3.5
F. 6.5
G. 5
H. 6

Answer :

Final answer:

To find the interquartile range, arrange the data in ascending order, calculate Q1 and Q3, and subtract Q1 from Q3.


Explanation:

In order to find the interquartile range of the data, we first need to find the first quartile (Q1) and the third quartile (Q3). Q1 is the 25th percentile and Q3 is the 75th percentile.

To calculate Q1 and Q3, we need to arrange the data in ascending order: 40, 41, 41, 42, 43, 43, 44, 44, 45, 45.

Q1 is the median of the lower half of the data: (41 + 42) / 2 = 41.5. Q3 is the median of the upper half of the data: (44 + 45) / 2 = 44.5.

The interquartile range is then Q3 - Q1 = 44.5 - 41.5 = 3 degrees Fahrenheit.


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