Question

24, 25, 29, 30, 31, 31, 32, 34, 34
which box plot correctly summarizes the data?
choose 1 answer:
a
box plot a
20 22 24 26 28 30 32 34 36
b
box plot b
20 22 24 26 28 30 32 34 36
c
box plot c
number line
14 of 19

Explanation:

Step1: Identify min and max

Minimum value: $24$, Maximum value: $34$

Step2: Calculate median (5th value)

Data sorted: $24,25,29,30,31,31,32,34,34$
Median: $31$

Step3: Find Q1 (2nd value)

Lower half: $24,25,29,30$
Q1 (median of lower half): $25$

Step4: Find Q3 (7th value)

Upper half: $31,32,34,34$
Q3 (median of upper half): $32$

Step5: Match to box plot

Box plot should have whiskers at 24 and 34, box edges at 25 and 32, median line at 31.

Answer:

A. <Box plot with left whisker at 24, left box edge at 25, median line at 31, right box edge at 32, right whisker at 34>