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ELEN [110]
3 years ago
6

Find and interpret the mean absolute deviation of the data. Round your answers to the nearest tenth. If necessary 101.5 98.7 95.

4 92.3 109.8 104.7
Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

\bar X = 100.4

And we can calculate the deviations from each value like this:

|101.5-100.4 |=1.1

|98.7-100.4 |=1.7

|95.4-100.4 |=5.0

|92.3-100.4 |=8.1

|109.8-100.4 |=9.4

|104.7-100.4|=4.3

And the mean absolute deviation would be:

MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93

Step-by-step explanation:

For this case we have the following dataset given:

101.5 98.7 95.4 92.3 109.8 104.7

We can calculate the mean with the following formula:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = 100.4

And we can calculate the deviations from each value like this:

|101.5-100.4 |=1.1

|98.7-100.4 |=1.7

|95.4-100.4 |=5.0

|92.3-100.4 |=8.1

|109.8-100.4 |=9.4

|104.7-100.4|=4.3

And the mean absolute deviation would be:

MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93

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