Question

Homework: Section 2.3 Reading Check

Determine whether the statement is true or false. If it is false, rewrite it as a true statement:
"Some quantitative data sets do not have medians."
a) The statement is true.
b) The statement is false. Some quantitative data sets have more than one median.
c) The statement is false. All quantitative data sets have medians.
d) The statement is false. Some quantitative data sets do not have means.

Answer 1

All quantitative data sets have medians, so the statement is false.

Step-by-step explanation:

The statement is false. All quantitative data sets have medians. It is a misconception that some data sets do not have medians. The median is the middle value of a data set when it is ordered from least to greatest. However, it is possible for a data set to have multiple medians if there is an even number of values. In this case, the medians are the two middle values, which are usually averaged to find the median.