Question

wo groups of students were asked how many pets they had. The table below shows the numbers for each group: Group A 1 2 1 1 3 5 4 2 3 Group B 3 2 3 2 2 2 1 1 2 Based on the table, which of the following is true?

Answer 1

the complete question in the attached figure

we know that
The interquartile range is a measure of where the “middle fifty” is in a data set
the interquartile range formula is the first quartile subtracted from the third quartile:
IQR = Q3 – Q1

Group A [1 2 1 1 3 5 4 2 3]
Step 1: Put the numbers in order
[1 1 1 2 2 3 3 4 5]
Step 2: Find the median
[1 1 1 2 2 3 3 4 5]
Step 3: Place parentheses around the numbers above and below the median
[(1 1 1 2) 2 (3 3 4 5)]
Step 4: Find Q1 and Q3
[(1 1 1 2) 2 (3 3 4 5)]----> Q1=1 Q3=3
IQRA = Q3 – Q1--------> 3-1=2

Group B [3 2 3 2 2 2 1 1 2]
Step 1: Put the numbers in order
[1 1 2 2 2 2 2 3 3]
Step 2: Find the median
[1 1 2 2 2 2 2 3 3]
Step 3: Place parentheses around the numbers above and below the median
[(1 1 2 2) 2 (2 2 3 3)]
Step 4: Find Q1 and Q3
[(1 1 2 2) 2 (2 2 3 3)]----> Q1=1 Q3=2
IQRB = Q3 – Q1--------> 2-1=1

IQRA=2
IQRB=1

the answer is the option
The interquartile range for Group A students is 1 more than the interquartile range for Group B students