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 letters

Explanation:

Step1: Count total data points

There is 1 point at 5, 1 at 6, 2 at 7, 1 at 8, 5 at 9, 1 at 10. So total number of data points is $1 + 1+2 + 1+5 + 1=11$.

Step2: Find position of median

For a set of $n = 11$ (odd - numbered) data points, the median is at the $\frac{n + 1}{2}=\frac{11+ 1}{2}=6$th position when the data is arranged in ascending order.

Step3: Determine median value

Arranging the data in ascending order: 5, 6, 7, 7, 8, 9, 9, 9, 9, 9, 10. The 6th value is 9.

Answer:

9