ms. allen runs a movie club after school on fridays. for 14 fridays, she records the number of students who…
ms. allen runs a movie club after school on fridays. for 14 fridays, she records the number of students who attend each movie club meeting. the data is shown in the dot - plot. what is the median number of students? median = students movie club attendance 5 6 7 8 9 10 11 12 13 number of students
Answer
Explanation:
Step1: Arrange data in order
The data points from the dot - plot are: 5 (1 time), 7 (3 times), 8 (2 times), 10 (4 times), 11 (3 times). Arranging them in ascending order: 5, 7, 7, 7, 8, 8, 10, 10, 10, 10, 11, 11, 11.
Step2: Find the median position
Since there are $n = 14$ data points, the median position is $\frac{n}{2}=7$ and $\frac{n}{2}+ 1 = 8$ for an even - numbered data set.
Step3: Calculate the median
The 7th and 8th ordered data points are 10 and 10. The median is $\frac{10 + 10}{2}=10$.
Answer:
10