Question

The line plots show the number of kilometers that Jen and Denisha biked each week for 10 weeks. Jen's Distance Biked (kilometers) 18 20 22 24 32 Denisha's Distance Biked (kilometers) Based on the data, who is more likely to ride a greater distance in the eleventh week? Move a word to each blank to complete the sentence is more likely to ride a greater distance because the of her data is greater.

Answer 1

I can help you with your question. Based on the line plots, Jen is more likely to ride a greater distance in the eleventh week because the mean of her data is greater.

The mean is the average of all the values in a data set. To find the mean, we add up all the values and divide by the number of values. For example, to find the mean of Jen’s data, we add up all the distances she biked in 10 weeks and divide by 10:

Mean of Jen’s data=10/18+20+22+24+26+28+30+32+34+36​=10270​=27

Similarly, to find the mean of Denisha’s data, we add up all the distances she biked in 10 weeks and divide by 10:

Mean of Denisha’s data=10/16+18+20+22+24+26+28+30+32+34​=10250​=25

We can see that Jen’s mean is greater than Denisha’s mean by 2 kilometers. This means that on average, Jen biked more than Denisha in each week. Therefore, Jen is more likely to bike a greater distance in the eleventh week as well.

I hope this helps you understand how to use line plots and mean to compare data sets. Have a nice day!