Question

1. the students in a class collected data on the number of minutes some of them spend brushing their teeth every day. that data is shown in the dot plot below. brushing teeth what was the median number of minutes students brushed their teeth?

Explanation:

Step1: Count data - point number

There are 6 data - points (1 dot at 0.5, 2 dots at 1.5, 1 dot at 3, 1 dot at 3.5, 1 dot at 4).

Step2: Arrange data in ascending order

The data in ascending order is 0.5, 1.5, 1.5, 3, 3.5, 4.

Step3: Find the median

Since there are 6 (an even number) data - points, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered values. Here $n = 6$, $\frac{n}{2}=3$ and $\frac{n}{2}+1 = 4$. The 3rd value is 1.5 and the 4th value is 3. Median=$\frac{1.5 + 3}{2}=2.25$.

Answer:

2.25