Question

How much disk space does your music use? Here are the file sizes (in megabytes) for 18 randomly selected files on Gabriel's iPhone. Identify any outliers in the distribution.

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

Answer 1

To identify any outliers in the distribution of file sizes, arrange the file sizes in ascending order and calculate the interquartile range (IQR). Any values outside of Q1 - 1.5*IQR or Q3 + 1.5*IQR are outliers.

Step-by-step explanation:

To identify any outliers in the distribution of file sizes, we can use a box plot. First, let's arrange the file sizes in ascending order: 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.

Next, we can calculate the interquartile range (IQR). The first quartile (Q1) is the median of the lower half of the data, and the third quartile (Q3) is the median of the upper half of the data.

Using the formula for the IQR: IQR = Q3 - Q1, we can calculate the IQR.

Any values that are less than Q1 - 1.5*IQR or greater than Q3 + 1.5*IQR are considered outliers. In this case, none of the file sizes fall outside the range, so there are no outliers in the distribution.