The values for three different sets of data are shown below. Data Data Set Values 1 52, 55, 59, 53, 50 2 40, 49, 43, 42, 90, 38 3 24, 30, 26, 31, 40, 26 Without calculating any statistics, Jadyn knows that data set 1 would have the least mean absolute deviation among the three sets. Which statement explains how she knows? Sets 2 and 3 have an even number of values. Set 1 has the least number of values. Sets 2 and 3 contain outliers. Set 1 contains an outlier.

Question

Mathematics

Owen Travis

30 August, 13:11

The values for three different sets of data are shown below. Data Data Set Values 1 52, 55, 59, 53, 50 2 40, 49, 43, 42, 90, 38 3 24, 30, 26, 31, 40, 26 Without calculating any statistics, Jadyn knows that data set 1 would have the least mean absolute deviation among the three sets. Which statement explains how she knows? Sets 2 and 3 have an even number of values. Set 1 has the least number of values. Sets 2 and 3 contain outliers. Set 1 contains an outlier.

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Answers (2)

Know the Answer?

Lamont Mann · Answer 1

The answer is c because i just took it and gt the answer right

Jewel Bridges · Answer 2

Deviation refers to how much a data set differs from its mean aka average value. Set 2 and set 3 having even number of values does not say anything about the spread of data of each set hence its wrong. Set 1 having the least values probably suggests that the spread is smaller but this is just an assumption as we don't know if there are any extremities. Set 2 and set 3 contains outliers (extreme values) is the answer as having extreme values such as 90 and 40 respectively increase the spread of your data set even if it's only one number so that would be correct.