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File sizes Refer to Exercise 101. Find the interquartile range of the file size distribution shown in the dotplot.

Short Answer

Expert verified

2.8 megabytes is the resultant answer.

Step by step solution

01

Step 1. Given information.

The given dot-plot is:

The data value of the given dot-plot are:

1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5

02

Step 2. Find the interquartile range.

Interquartile range:

IQR=Q3-Q1

As the number of data, values is even, and the median is the average of the sorted data set's two middle values (9th and 10th data values):

M=Q2=2.4+2.52=4.92=2.45

The median of data values below the median (or at 25% of the data) is the first quartile. The first quartile is the 5th data value because there are 9 data values below the median.

Q1=1.9

The median of the data values above the median (or at 75% of the data) is the third quartile. The third quartile is the 9+5=14thdata value since there are 9 data values above the median.

Q3=4.7

IQR=4.7-1.9=2.8

Interquartile range is 2.8 megabyte.

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