the graph below represents the result of a survey in which a number of students reported how many letters…

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

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

Answer

Explanation:

Step1: Count data - points

There are 3 data - points at 3 letters, 1 at 4 letters, 1 at 6 letters, and 1 at 8 letters. In total, there are $3 + 1+1 + 1=6$ data - points.

Step2: Find median position

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

Step3: Order data and find median

Ordering the data: 3, 3, 3, 4, 6, 8. The 3rd value is 3 and the 4th value is 4. The median is $\frac{3 + 4}{2}=3.5$.

Answer:

3.5