Q2. - Algebra 1

Question

Which measure of central tendency best represents the data? Justify your answer. Then find the measure.

 

An online travel agency wants to design tours for families with teens. So, they surveyed students about their favorite vacation destinations. The top five responses were: beach, 25%; theme park, 22%, lakes, 21%; historical sites, 17%; mountains, 15%.

Step-by-Step Solution

Answer

A measure of central tendency cannot be calculated for the given set of data.

Step 1. State the concept of Central tendency.

The measure of central tendency is a value that describe the data by a central value. The central values are mean, median and mode.

Mean is the average of all the data points.

Median is the middle value after arranging the data in ascending order.

Mode is the value that is the most frequent value in the data.

Step 2. Find the central tendencies.

Since each percentage represents something different so a measure of central tendency cannot be calculated for the given set of data.

For Example: 22% responded that theme park is their favourite destination while 15% responded that mountain is their favourite vacation destination.

Step 3 . Write the conclusion.

Hence,

A measure of central tendency cannot be calculated for the given set of data.