Question

this table shows the distance of each data point from the mean of the dataset. compare the datasets in the tables. which of the following correctly describes the relationship of their average deviations? (1 point) the second table has a larger average deviation. the first table has a larger average deviation. the average deviation is the same for both tables. it is impossible to tell from this data.

Explanation:

Step1: Calculate the average of the first dataset

Sum of values in first dataset: \(2 + 1+3 + 3+1 + 1+1 + 2=14\). Number of data points \(n = 8\). Average \(\bar{x}_1=\frac{14}{8}=1.75\)

Step2: Calculate the average of the second dataset

Sum of values in second dataset: \(9+10 + 14+14 + 12+10+10 + 9=88\). Number of data points \(n = 8\). Average \(\bar{x}_2=\frac{88}{8}=11\)

Step3: Calculate the average deviation for the first dataset

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Step4: Calculate the average deviation for the second dataset

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Answer:

The second table has a larger average deviation.