Question

1. 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?

Explanation:

Step1: Count data - points

There are 8 data - points (dots on the graph).

Step2: Arrange data in ascending order

The data points represent name lengths: 4, 5, 6, 6, 6, 7, 7, 10.

Step3: Calculate median position

For \(n = 8\) (even number of data - points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered values. \(\frac{n}{2}=\frac{8}{2}=4\) and \(\frac{n}{2}+1 = 5\).

Step4: Find median values

The 4th value is 6 and the 5th value is 6.

Step5: Calculate median

Median\(=\frac{6 + 6}{2}=6\).

Answer:

6