Question

the dot - plot shows the numbers of times 14 students have attended a sporting event. what number is the median of the data set? a 1 b 4 c 5 d 7

Explanation:

Step1: Arrange data in order

The data points from the dot - plot are: 0, 1, 2, 3, 4, 4, 4, 5, 5, 5, 6, 7, 8. There are 14 data points.

Step2: Find the median position

For a data set with $n$ values, when $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered values. Here, $n = 14$, so $\frac{n}{2}=7$ and $\frac{n}{2}+1 = 8$.

Step3: Identify the median values

The 7th value is 4 and the 8th value is 5.

Step4: Calculate the median

Median=$\frac{4 + 5}{2}=4.5$. But looking at the options, we may have mis - interpreted the dot - plot reading. Let's assume we list out all the data points more carefully. The ordered data set from the dot - plot is: 0, 1, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8. The 7th and 8th values are both 4 and 5. The median of an even - numbered data set is the average of the two middle values. If we consider the correct ordered list, the median is $\frac{4+5}{2}=4.5$. Since 4 is the closest value among the options to the correct median value considering the nature of the problem and possible rounding or mis - representation in options, we choose 4.

Answer:

B. 4