Question

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?

Answer 1

Answer:

The error is in Step 3:

She should have calculated the interquartile range as,

Chemistry = 85 - 60 = 25

Biology = 80 - 60 = 20

Step-by-step explanation:

*In a box plot, the median is the point on the number line where a line divides the rectangular box.

Thus, from the information given in the question about the box plots, the median for Chemistry = 80 (this is where a line divides the box)

Median for Biology = 70

The difference in the median = 80 - 70 = 10.

*Lauren didn't make any mistake in Step 1 and 2, as he equally got the same values.

==>The interquartile range in a box plot is simply the difference in the ranges (Q3 - Q1).

From the given information, the interquartile range for Chemistry = 85 - 60 = 25 (this is the difference in the ranges of the box)

Interquartile range for Biology = 80 - 60 = 20

The difference in interquartile range = 25 - 20 = 5

*Lauren made an error in Step 3 when calculating the interquartile range for both Chemistry and Biology, even though he arrive at the same value of the difference in the interquartile range we got as calculated above.

Answer 2

Answer:

to simplyify it the answer is D

Step-by-step explanation: