GG.13 Box plots

Question

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Last year, Lola kept track of how long she volunteered at the animal shelter each month.
Volunteer hours
4
8
12
16
20
24
What was the lower quartile of Lola's volunteer hours?
hours

Answer 1

To find the lower quartile (Q1) of Lola's volunteer hours, we first need to arrange the data in ascending order, which in this case is already done: \(4, 8, 12, 16, 20, 24\).

The lower quartile is the median of the first half of the data. Here, we have 6 data points.

The first half of the data includes the first three numbers: \(4, 8, 12\).

Now, we find the median of the first half:

1. Count the numbers: There are 3 numbers.
2. The median is the middle number, which is \(8\).

Thus, the lower quartile (Q1) of Lola's volunteer hours is 8 hours.