GG.13 Box plots

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The Timber Valley Times recorded the number of newspaper deliveries on each route.
Newspaper deliveries
40
50
60
70
80
90
What was the upper quartile of the number of newspaper deliveries?
deliveries

1 answer

To find the upper quartile (Q3) of the number of newspaper deliveries, it's necessary to first organize the data. However, you’ve provided a range of values rather than a specific dataset. If we assume these values represent the number of deliveries:

  • 40 deliveries
  • 50 deliveries
  • 60 deliveries
  • 70 deliveries
  • 80 deliveries
  • 90 deliveries

The next step is to determine the upper quartile (Q3), which is the median of the upper half of the data.

  1. First, sort the data (already sorted in this case):

    • 40, 50, 60, 70, 80, 90
  2. Divide the data into two halves. Since there are six data points, the median (Q2) is the average of the third and fourth values:

    • Median (Q2): (60 + 70) / 2 = 65
  3. Now, identify the upper half of the data, which consists of the values above the median:

    • Upper half: 70, 80, 90
  4. The upper quartile (Q3) is the median of this upper half:

    • Q3 = 80 (as it is the second value in the upper half)

Thus, the upper quartile of the number of newspaper deliveries is 80 deliveries.