Question

diagnostic assessment
for the past 12 school days, mai has recorded how long her bus rides to school take in minutes. the times she recorded are shown in the table.
9 8 6 9 10 7 6 12 9 8 10 8

1. find the mean for mais data. show your reasoning.
2. in this situation, what does the mean tell us about mais trip to school?
3. for 5 days, tyler has recorded how long his walks to school take in minutes. the mean for his data is 11 minutes. without calculating, predict if each of the data sets shown could be tylers. explain your reasoning.

data set a: 11, 8, 7, 9, 8
data set b: 12, 7, 13, 9, 14
data set c: 11, 20, 6, 9, 10
data set d: 8, 10, 9, 11, 11

1. determine which data set is tylers. explain how you know.

Explanation:

Step1: Calculate sum of Mai's data

$9 + 8+6 + 9+10+7+6+12+9+8+10+8=102$

Step2: Calculate mean

$\frac{102}{12}=8.5$

Step3: Analyze meaning of mean

It's average trip - time.

Step4: Predict for Tyler's data

Check if mean of each set could be 11.

Step5: Determine Tyler's data

Calculate means of sets. Set D has mean 9.8, Set A has mean 8.8, Set B has mean 11, Set C has mean 11.2. So set B could be Tyler's.

Answer:

1. 8.5
2. It's the average time of Mai's trip to school.
3. Set B could be as its values seem to average to 11.
4. Set B as its mean is closest to 11.