At music camp, Addison tracked the number of minutes she practiced her trombone each day.

Question

Practice time (min.)
50
70
90
110
130
150
What was the lower quartile of Addison's practice time?
minutes

Answer 1

To find the lower quartile (Q1) of Addison's practice time, we will first organize the data in ascending order, which is already done:

Practice Time (min):

• 50
• 70
• 90
• 110
• 130
• 150

As there are 6 data points, the lower quartile (Q1) is found by locating the median of the first half of the data.

1. Split the data into two halves:

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

2. Find the median of the first half (50, 70, 90): The median of an ordered list is the middle value. Since there are 3 values, the median is simply the second value:

   • Median of the first half = 70

Thus, the lower quartile (Q1) of Addison's practice time is 70 minutes.