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GG.13 Box plots

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At music camp, Addison tracked the number of minutes she practiced her trombone each day.
Practice time (min.)
50
70
90
110
130
150
What was the lower quartile of Addison's practice time?
minutes

1 answer

To find the lower quartile (Q1) of Addison's practice time, we first need to arrange the data in ascending order. The practice times are already in order:

  • 50
  • 70
  • 90
  • 110
  • 130
  • 150

Next, we identify the lower quartile. The lower quartile is the median of the first half of the data. Since there are 6 data points, we divide them into two groups:

  • First half: 50, 70, 90
  • Second half: 110, 130, 150

Now, we find the median of the first half (50, 70, 90), which is the middle value.

The values are:

  1. 50
  2. 70 (this is the median)
  3. 90

Thus, the lower quartile (Q1) is 70 minutes.