Each member of the Spring Valley Scouts recorded the number of wrapping paper rolls he sold in a fundraiser.

Wrapping paper rolls sold
10
20
30
40
50
60
What was the lower quartile of the number of wrapping paper rolls sold?
rolls

1 answer

To find the lower quartile (Q1) from the given data set of wrapping paper rolls sold (10, 20, 30, 40, 50, 60), we need to arrange the data in ascending order and locate the position of the lower quartile.

Here, the data is already arranged in ascending order:

  • 10
  • 20
  • 30
  • 40
  • 50
  • 60

The lower quartile (Q1) is the median of the lower half of the data. In this case, the number of data points is 6, which means we can divide into two halves.

Lower half of the data (the first three numbers):

  • 10
  • 20
  • 30

To find Q1, we take the median of the lower half: Since there are 3 numbers, Q1 is the second number:

  • Q1 = 20

Thus, the lower quartile (Q1) of the number of wrapping paper rolls sold is 20 rolls.