Question

use the data table to answer 8–11.
states traveled to or lived in
1, 4, 5, 1, 6, 2, 12, 7, 1, 2, 6, 2, 1, 8, 14

1. what are the median, mode, and range of the data?

the median is
the mode is
the range is

Explanation:

Step1: Sort the data

First, we sort the data set: \(1, 1, 1, 1, 2, 2, 2, 4, 5, 6, 6, 7, 8, 12, 14\)

Step2: Find the median

The number of data points \(n = 15\) (odd). The median is the \(\frac{n + 1}{2}=\frac{15+ 1}{2}=8\)-th term. Looking at the sorted data, the 8 - th term is \(4\).

Step3: Find the mode

The mode is the number that appears most frequently. Here, \(1\) appears \(4\) times, \(2\) appears \(3\) times, others appear less. So mode is \(1\).

Step4: Find the range

Range is maximum - minimum. Maximum is \(14\), minimum is \(1\), so range \(=14 - 1=13\).

Answer:

Median: \(4\), Mode: \(1\), Range: \(13\)