Respuesta :
Answer:
MAD of her data set is 4.
Step-by-step explanation:
Vivian surveyed bicyclists in her community to see the average number of miles they biked per day.
The data set is given below :
7, 10, 13, 4, 12, 21, 10, 3
[tex]mean=\frac{\text{Sum of data set}}{\text{number of values}}[/tex]
[tex]=\frac{(7+10+13+4+12+21+10+3)}{8}[/tex]
[tex]=\frac{80}{8}[/tex]
= 10
[tex]MAD=\frac{\sum |A_1-f_1|}{n}[/tex]
Data point Distance from mean
1 7 7 - 10 = | -3 | = 3
2. 10 10 - 10 = | 0 | = 0
3. 13 13 - 10 = | 3 | = 3
4. 4 4 - 10 = | -6 | = 6
5. 12 12 - 10 = | 2 | = 2
6. 21 21 - 10 = | 11 | = 11
7. 10 10 - 10 = | 0 | = 0
8. 3 3 - 10 = | -7 | = 7
Adding the distance = 3 + 0 + 3 + 6 + 2 + 11 + 0 + 7 = 32
MAD = [tex]\frac{32}{8}[/tex] = 4
MAD of her data set is 4.
Mean Absolute Deviation of this data tells about the variation of 4 miles biked each day by the bicyclists.
The value of mean absolute deviation is 4 and MAD indicates the variation of 4 miles biked per day by bicyclists.
What is the mean absolute deviation?
It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance is known as the MAD.
We have data, given that Vivian surveyed bicyclists in her community to see the average number of miles they biked per day.
We know,
[tex]\rm MAD = \dfrac{\sum( x_1-X)}{n}[/tex]
X is the mean.
Mean = 80/8 = 10
∑|x-X| = 32
n = 8
MAD = 32/8 = 4
Thus, the value of mean absolute deviation is 4 and MAD indicates the variation of 4 miles biked per day by bicyclists.
Learn more about the mean absolute deviation here:
brainly.com/question/10528201
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