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he height (in inches) of the starting 5 players on the intramural basketball team is shown.

66, 70, 63, 75, 66
What is the five number summary of the data?

1 answer

To find the five-number summary of the given heights, we need to identify the following:

  1. Minimum
  2. First Quartile (Q1)
  3. Median (Q2)
  4. Third Quartile (Q3)
  5. Maximum

Let's first organize the data in ascending order:

63, 66, 66, 70, 75

Now we can determine each component of the five-number summary:

  1. Minimum: The smallest value in the dataset, which is 63.
  2. Maximum: The largest value in the dataset, which is 75.
  3. Median (Q2): The middle value in the ordered list. Since there are 5 numbers, the median is the 3rd value: 66.
  4. First Quartile (Q1): This is the median of the first half of the data (63, 66). The median of this subset is 63.
  5. Third Quartile (Q3): This is the median of the second half of the data (66, 70, 75). The median of this subset is 70.

Putting it all together, the five-number summary is:

  • Minimum: 63
  • Q1: 63
  • Median (Q2): 66
  • Q3: 70
  • Maximum: 75

Thus, the five-number summary is 63, 63, 66, 70, 75.