Question

the dot plot shows the ages of 11 guests at a party
party guests
age (years)
20 21 22 23 24 25 26 27 28 29 30 31 32 33
which statement is best supported by the data in the dot plot?
a the range of the ages is 12.
b the interquartile range of the ages is 11.
c the median of the ages is 26.
d the median of the ages is 27.

Explanation:

Step1: List all ages from dot plot

21, 22, 22, 24, 24, 25, 29, 29, 31, 33, 33

Step2: Calculate the range

Range = Max - Min = $33 - 21 = 12$

Step3: Find the median

Data has 11 values, median is 6th value: $25$

Step4: Calculate interquartile range

Q1 = 3rd value = 22, Q3 = 9th value = 31
IQR = $31 - 22 = 9$

Step5: Verify each option

Option A matches range=12; B (IQR=11) wrong; C (median=26) wrong; D (median=27) wrong.

Answer:

A. The range of the ages is 12.