step 2 find the difference in the medians: 60 - 70 = 10\nstep 3 find the interquartile range for chemistry…

step 2 find the difference in the medians: 60 - 70 = 10\nstep 3 find the interquartile range for chemistry: 85 - 80 = 5 find the interquartile range for biology: 80 - 70 = 10\nstep 4 find the difference in the interquartile ranges: 10 - 5 = 5\nlauren determined that the difference in the medians is greater than the difference in the interquartile ranges. which explains laurens error?\nlauren made her first error in step 1 because the median is 85 for chemistry and 80 for biology.\nlauren made her first error in step 1 because the median is 60 for chemistry and 60 for biology.\nlauren made her first error in step 3 because she should have used 90 - 55 = 35 for chemistry and 90 - 50 = 40 for biology.\nlauren made her first error in step 3 because she should have used 85 - 60 = 25 for chemistry and 80 - 60 = 20 for biology.

step 2 find the difference in the medians: 60 - 70 = 10\nstep 3 find the interquartile range for chemistry: 85 - 80 = 5 find the interquartile range for biology: 80 - 70 = 10\nstep 4 find the difference in the interquartile ranges: 10 - 5 = 5\nlauren determined that the difference in the medians is greater than the difference in the interquartile ranges. which explains laurens error?\nlauren made her first error in step 1 because the median is 85 for chemistry and 80 for biology.\nlauren made her first error in step 1 because the median is 60 for chemistry and 60 for biology.\nlauren made her first error in step 3 because she should have used 90 - 55 = 35 for chemistry and 90 - 50 = 40 for biology.\nlauren made her first error in step 3 because she should have used 85 - 60 = 25 for chemistry and 80 - 60 = 20 for biology.

Answer

Explanation:

Step1: Analyze median values

Median values are not given as 60 for chemistry and 60 for biology in correct data.

Step2: Analyze inter - quartile range calculation

The inter - quartile range calculations in the options need to be checked. The correct inter - quartile range for a data set is calculated as $Q_3 - Q_1$ (third quartile minus first quartile). In the given incorrect calculations in step 3 of the original work, the values used are wrong. The correct way is to find the proper $Q_1$ and $Q_3$ values for each data set (chemistry and biology). For example, if we assume correct $Q_1$ and $Q_3$ values for chemistry are 60 and 85 respectively and for biology are 60 and 80 respectively, the inter - quartile ranges should be $85 - 60=25$ for chemistry and $80 - 60 = 20$ for biology.

Answer:

Lauren made her first error in step 3 because she should have used $85 - 60=25$ for chemistry and $80 - 60 = 20$ for biology.