The following is an ordered set of 10 daily maximum temperatures (in degrees Celsius): 22 22 23 24 24 25 26 27 28 29 The five-number summary for these temperatures is:

Question

BlackTom AI · Accepted Answer

Five-number summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

List the ordered data with positions:
1:22, 2:22, 3:23, 4:24, 5:24, 6:25, 7:26, 8:27, 9:28, 10:29.
- Minimum = value at position 1 = 22.
- Maximum = value at position 10 = 29.

Because there are n = 10 (an even number) observations, the median is the average of the 5th and 6th observations:
- 5th = 24, 6th = 25, so median = (24 + 25) / 2 = 24.5.

With an even n, form the lower half as the first n/2 = 5 observations (positions 1–5) and the upper half as the last 5 observations (positions 6–10).
- Lower half: 22, 22, 23, 24, 24. The median (Q1) of these five is the middle value (3rd) = 23.
- Upper half: 25, 26, 27, 28, 29. The median (Q3) of these five is the middle value (3rd) = 27.

Thus the five-number summary is: minimum 22, Q1 = 23, median = 24.5, Q3 = 27, maximum 29.

Why this matches option c and why the others are wrong:
- Option a lists Q1 = 24 (incorrect; Q1 is 23).
- Option b lists Q3 = 27.5 (incorrect; Q3 is 27) and would also imply a different median placement.
- Option d lists median = 24 (incorrect; median is 24.5).
Option c correctly gives 22, 23, 24.5, 27, 29, which matches the calculation above.

Final confirmation: the correct five-number summary is 22, 23, 24.5, 27, 29 (option c).

The following is an ordered set of 10 daily maximum temperatures (in degrees Celsius): 22 22 23 24 24 25 26 27 28 29 The five-number summary for these temperatures is:单项选择题

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