2 a reporter counts the number of times a politician talks about jobs in campaign speeches. what is the mad…

2 a reporter counts the number of times a politician talks about jobs in campaign speeches. what is the mad of the data represented in the dot - plot? number of mentions of \jobs\ a. 1.1 mentions b. 2 mentions c. 2.5 mentions d. 5.5 mentions

2 a reporter counts the number of times a politician talks about jobs in campaign speeches. what is the mad of the data represented in the dot - plot? number of mentions of \jobs\ a. 1.1 mentions b. 2 mentions c. 2.5 mentions d. 5.5 mentions

Answer

Explanation:

Step1: Count data - point frequencies

There is 1 data - point at 3, 1 at 4, 3 at 5, 3 at 6, 1 at 7, 1 at 8. The data set is (3,4,5,5,5,6,6,6,7,8).

Step2: Calculate the mean

The sum of the data is (3 + 4+5\times3 + 6\times3+7 + 8=3 + 4+15 + 18+7 + 8 = 55). There are (n = 10) data - points. The mean (\bar{x}=\frac{55}{10}=5.5).

Step3: Calculate the absolute deviations

(\vert3 - 5.5\vert=2.5), (\vert4 - 5.5\vert = 1.5), (\vert5 - 5.5\vert=0.5) (three times), (\vert6 - 5.5\vert = 0.5) (three times), (\vert7 - 5.5\vert=1.5), (\vert8 - 5.5\vert = 2.5).

Step4: Calculate the sum of absolute deviations

The sum is (2.5+1.5 + 0.5\times3+0.5\times3+1.5+2.5=2.5+1.5 + 1.5+1.5+1.5+2.5 = 11).

Step5: Calculate the MAD

The MAD (Mean Absolute Deviation) is (\frac{11}{10}=1.1).

Answer:

A. 1.1 mentions