Question

question 6 (1 point)
the mean of data set a is 43.5 and the mad is 3.7. the mean of data set b is 12.8 and the mad is 4.1.

1. which data set shows greater variability? explain your reasoning.

set ________ (a,b) shows greater variability because the mad is ______ (less than, greater than) the mad for set ________ (a,b).

1. what differences would you expect to see when comparing the dot plots of the two data sets?

________ (as, bs) dot - plot will have most of the data centered around 43.5 with the data, on average, ________ (3.7, 4.1) units above or below 43.5.
________ (as, bs) dot - plot will have most of the data centered around 12.8 with the data, on average, ________ (3.7, 4.1) units above or below 12.8.
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Explanation:

Step1: Compare MAD values

MAD of set A is 3.7, MAD of set B is 4.1. Since 4.1 > 3.7, set B has greater variability.

Step2: Analyze dot - plot centers

The mean of set A is 43.5, so A's dot - plot will have most of the data centered around 43.5 with data, on average, 3.7 units above or below 43.5.

Step3: Analyze other dot - plot centers

The mean of set B is 12.8, so B's dot - plot will have most of the data centered around 12.8 with data, on average, 4.1 units above or below 12.8.

Answer:

Blank 1: B
Blank 2: greater than
Blank 3: A
Blank 4: A's
Blank 5: 3.7
Blank 6: B's
Blank 7: 4.1