The box plots show Lauren’s chemistry scores and her biology scores. Chemistry 2 box plots. The number line goes from 50 to 100.
For chemistry, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80. For biology, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70. Biology Lauren used the steps below to determine the differences in the medians and the interquartile ranges. Step 1 Find the median for chemistry: 80 Find the median for biology: 70 Step 2 Find the difference in the medians: 80 minus 70 = 10 Step 3 Find the interquartile range for chemistry: 85 minus 80 = 5 Find the interquartile range for biology: 80 minus 70 = 10 Step 4 Find the difference in the interquartile ranges: 10 minus 5 = 5 Lauren determined that the difference in the medians is greater than the difference in the interquartile ranges. Which explains Lauren’s error? Lauren made her first error in step 1 because the median is 85 for chemistry and 80 for biology. Lauren made her first error in step 1 because the median is 60 for chemistry and 60 for biology. Lauren made her first error in step 3 because she should have used 90 minus 55 = 35 for chemistry and 90 minus 50 = 40 for biology. Lauren made her first error in step 3 because she should have used 85 minus 60 = 25 for chemistry and 80 minus 60 = 20 for biology.
1 answer:
Answer:
Lauren made her first error in step 3 because she should have used 85 minus 60 = 25 for chemistry and 80 minus 60 = 20 for biology.
Step-by-step explanation:
Lauren's box plots may have looked like those below.
Step 1
Chemistry median = 80
Biology median = 70
Correct.
Step 2
Difference in medians = 80 - 70
Correct
Step 3
Chemistry IQR = 85 - 60 = 25
Biology IQR = 80 - 60 = 20
Wrong.
This is where Lauren made the mistake.
She was finding the difference between the Max and Q3.
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