Question

median = 9 students
what is the lower quartile, q1, of the data?
q1 = students
5 5 7 7 7 8 8 10 10 10 10 11 11 11

Explanation:

Step1: Count the number of data points

There are 14 data points: 5, 5, 7, 7, 7, 8, 8, 10, 10, 10, 10, 11, 11, 11.

Step2: Find the lower half of the data

The lower half of the data (below the median) is 5, 5, 7, 7, 7, 8, 8.

Step3: Calculate the lower quartile (Q1)

Since there are 7 data points in the lower half, the median of the lower half is the 4th value. The 4th value in 5, 5, 7, 7, 7, 8, 8 is 7.

Answer:

7 students