Question

the stemplot below displays the times, in seconds, for 25 students to run 100 meters.
100-meter times (sec)
2 | 2 3 3 4 4 4
2 | 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 9 9
3 | 0
key: 1|6 = 16 seconds taken to run 100 meters
which of the following is the correct five-number summary?
○ 22, 24, 26, 28, 29
○ 23, 24.5, 26, 28, 29
○ 22, 24, 27, 28, 30
○ 22, 24.5, 26, 28, 30

Explanation:

Step1: List all data points

Stem 2 (first row): 22,23,23,24,24,24
Stem 2 (second row):25,25,25,25,26,26,26,26,26,27,27,27,28,28,28,28,29,29
Stem3:30
Full data: [22,23,23,24,24,24,25,25,25,25,26,26,26,26,26,27,27,27,28,28,28,28,29,29,30] (n=25)

Step2: Find min, Q1, median, Q3, max

Min = 22; Max =30
Median (13th term):26
Q1 (6th term +7th term)/2=(24+25)/2=24.5
Q3 (19th term +20th term)/2=(28+28)/2=28

Answer:

22,24.5,26,28,30 (the last option)