Question

The data set lists the number of tickets purchased for a school dance each day for 9 days. {13, 6, 13, 8, 2, 19, 11, 16, 17}If 32 is added to the data set, which statement will be TRUE?

Answer 1

D

1) The median is by nature more consistent and resistant to changes when some value is added to the data set. Let's visualize how that happens:

2) Mean

As we can see, the addition of 32 to the data set changes the mean.

3) Now, let's check the Median. Rewriting that into the ascending order:

`\begin{gathered} 2,\:6,\:8,\:11,\:13,\:13,\:16,\:17,\:19 \\ Median:13 \end{gathered}`

Note that 13 divides the distribution into two halves.

Now, let's add 32 to that dataset and check it:

`\begin{gathered} 2,\:6,\:8,\:11,\:13,\:13,\:16,\:17,\:19,\:32 \\ Md=(13+13)/(2)=13 \end{gathered}`

Thus, we can tell that the answer is: