Question

question 10 of 25
on a piece of paper, draw a box plot to represent the data.
then determine which answer choice matches the box plot
you drew.
12,18,20,23,25,28,32,36,37,40,41
a.
12 22 28 38 41
10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44
b.
12 20 28 37 41
10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44
c.
12 26 30 34 41
10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44
d.
12 17 30 38 41
10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44

Explanation:

Step1: Find Minimum, Q1, Median, Q3, Maximum

Data: 12, 18, 20, 23, 25, 28, 32, 36, 37, 40, 41 (n=11, odd)

• Minimum: 12
• Median (5th term, since (11+1)/2=6? Wait, n=11, positions 1-11. Median is 6th term? Wait, no: for n odd, median is at (n+1)/2 = 6th term? Wait, 11 numbers: positions 1(12), 2(18), 3(20), 4(23), 5(25), 6(28), 7(32), 8(36), 9(37), 10(40), 11(41). So median (Q2) is 28 (6th term).
• Q1: median of first 5 terms (12,18,20,23,25). n=5, median is 3rd term: 20.
• Q3: median of last 5 terms (32,36,37,40,41). n=5, median is 3rd term: 37.
• Maximum: 41.

So five - number summary: 12 (min), 20 (Q1), 28 (median), 37 (Q3), 41 (max).

Step2: Match with Box - Plots

Now check each option:

• Option A: Q1=22, median=28, Q3=38. Doesn't match Q1=20, Q3=37.
• Option B: Q1=20, median=28, Q3=37, max=41, min=12. Matches our five - number summary.
• Option C: Q1, median, Q3 don't match.
• Option D: Q1=17, median=30, Q3=38. Doesn't match.

Answer:

B. The box - plot with minimum 12, Q1 = 20, median = 28, Q3 = 37, and maximum 41.