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?
Accepted Solution
A:
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