Question

the graph below represents the result of a survey in which a number of students reported how many letters were in their last names. name length what was the median name length? answer attempt 1 out of 2 letters

Explanation:

Step1: Count the total number of data points

There are \(2 + 2+2 + 2+3=11\) data points.

Step2: Find the position of the median

For \(n = 11\) (odd number of data points), the median is the \(\frac{n + 1}{2}=\frac{11+ 1}{2}=6^{\text{th}}\) data point when the data is ordered.

Step3: Order the data and find the median

Ordering the data (number of letters): \(5,5,6,6,8,8,9,9,10,10,10\). The \(6^{\text{th}}\) data point is \(8\).

Answer:

\(8\)