Question

use the accompanying data set to complete the following actions.
a. find the quartiles.
b. find the interquartile range.
c. identify any outliers.

64 62 54 56 62 57 60 55 62 64 61 61 61 58 76

a. find the quartiles.
the first quartile, \\(q_1\\), is 57.
the second quartile, \\(q_2\\), is 61.
the third quartile, \\(q_3\\), is 62.
(type integers or decimals.)

b. find the interquartile range.
the interquartile range (iqr) is (type an integer or a decimal.)

Explanation:

Sort the dataset

Using the Percentiles and Quantiles knowledge point

$$ \text{Original data: } 64, 62, 54, 56, 62, 57, 60, 55, 62, 64, 61, 61, 61, 58, 76 $$

$$ \text{Sorted data } (N = 15): 54, 55, 56, 57, 58, 60, 61, 61, 61, 62, 62, 62, 64, 64, 76 $$

Calculate the quartiles

Using the Percentiles and Quantiles knowledge point

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Calculate the interquartile range

Using the Interquartile Range knowledge point

$$ \text{IQR} = Q_3 - Q_1 = 62 - 57 = 5 $$

Answer:

The interquartile range (IQR) is <blank>5</blank>