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Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes, brand A and brand B. Their results are represented by the dot plots. The mean absolute deviation for brand A is . The mean absolute deviation for brand B is . The mean absolute deviations for the two brands similar.

Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes brand A and brand B Their results are represented by the d class=

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akposevictor

The following conclusion is reached concerning the results represented by the dot plots:

  • The Mean Absolute Deviation for brand A is: 2.02
  • The Mean Absolute Deviation for brand A is: 1.905
  • The Mean Absolute Deviation for the two brands ARE similar.

What is the Mean Absolute Deviation?

The mean absolute deviation is a test of variability of a data set which is the average distance between each of the data point in the data set and the mean.

Find the mean absolute deviation for each dot plots.

Mean Absolute Deviation for Brand A:

The points are, 1,1,2,2,2,3,4,4,5,5,5,5,6,6,7,7,8,8,8,9

Mean = (1 + 1 + 2 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 6 + 7 + 7 + 8 + 8 + 8 + 9)/20 = 98/20

Mean = 4.9

Mean Absolute Deviation = [(1 - 4.9) + (1 - 4.9) + (2 - 4.9) + (2 - 4.9) + (2 - 4.9) + (3 - 4.9) + (4 - 4.9) + (4 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (6 - 4.9) + (6 - 4.9) + (7 - 4.9) + (7 - 4.9) + (8 - 4.9) + (8 - 4.9) + (8 - 4.9) + (9 - 4.9)] / 20

= [(3.9) + (3.9) + (2.9) + (2.9) + (2.9) + (1.9) + (0.9) + (0.9) + (0.1) + (0.1) + (0.1) + (0.1) + (1.1) + (1.1) + (2.1) + (2.1) + (3.1) + (3.1) + (3.1) + (4.1)] / 20

= 40.4/20

Mean Absolute Deviation for brand A = 2.02

Mean Absolute Deviation for Brand B:

The points are, 1,3,3,4,4,4,4,4,5,5,5,6,6,6,6,8,8,9,10,10

Mean = (1 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 8 + 8 + 9 + 10 + 10)/20

Mean = 111/20 = 5.55

Mean Absolute Deviation = [(1 - 5.55) + (3 - 5.55) + (3 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (5 - 5.55) + (5 - 5.55) + (5 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (8 - 5.55) + (8 - 5.55) + (9 - 5.55) + (10 - 5.55) + (10 - 5.55)] / 20

Mean Absolute Deviation = 38.1/20

Mean Absolute Deviation for brand B = 1.905

Therefore, the following conclusion is reached concerning the results represented by the dot plots:

  • The Mean Absolute Deviation for brand A is: 2.02
  • The Mean Absolute Deviation for brand A is: 1.905
  • The Mean Absolute Deviation for the two brands ARE similar.

Learn more about mean absolute deviation on:

https://brainly.com/question/17381861

angelisagobin

Answer:

The Mean Absolute Deviation for brand A is: 2.02

The Mean Absolute Deviation for brand A is: 1.905

The Mean Absolute Deviation for the two brands ARE similar.

Step-by-step explanation: