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 data points

There is 1 student with 3 - letter name, 4 students with 4 - letter names, and 1 student with 9 - letter name. So in total, there are $1 + 4+1=6$ data points.

Step2: Find the median position

Since $n = 6$ (an even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data values. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 3 + 1=4$.

Step3: Order the data and find the median

Ordering the data (3, 4, 4, 4, 4, 9), the 3rd and 4th values are both 4. The average of 4 and 4 is $\frac{4 + 4}{2}=4$.

Answer:

4