A survey asked eight people about their wages and educational background. The table shows the hourly wages reported by people with and without a high school diploma. A 2-column table with 4 rows. Column 1 is labeled No high school diploma with entries 10.00, 9.50, 11.50, 13.00. Column 2 is labeled High School Diploma with entries 19.00, 15.25, 14.00, 15.75. Use the information to complete the statements. The mean absolute deviation for people without a high school diploma is . The mean absolute deviation for people with a high school diploma is . The data for people without a high school diploma are more the mean than the data for people with a high school diploma.

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joaobezerra joaobezerra · Answer 1 · 2022-06-27T17:22:23+02:00

Using the mean absolute deviation concept, it is found that:

The mean absolute deviation for people without a high school diploma is 1.25.

The mean absolute deviation for people with a high school diploma is 1.5.

The data for people without a high school diploma is more concentrated than the data for people with a high school diploma.

The mean of a data-set is given by the sum of all observations divided by the number of observations.

The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.

The mean absolute deviation represents the average by which the values differ from the mean.

For people without high-school diplomas, we have that the mean and the MAD are given as follows:

For people with high-school diplomas, we have that the mean and the MAD are given as follows:

Hence, due to the lower MAD, we have that:

The data for people without a high school diploma is more concentrated than the data for people with a high school diploma.

More can be learned about the mean absolute deviation concept at https://brainly.com/question/3250070

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