Question

The table shows the scores of 10 students in Mr. Garcia’s 3rd period math class on their last 20-point quiz.

Answer 1

Answer:

B. 2 points

(Approximately)

Step-by-step explanation:

The mean absolute deviation (MAD) is defined as

$MAD=\frac{\Sigma |x_{i}-\mu| }{N}$

Where $\mu$ is the means and $N$ is the total number of elements.

First, we need to find the mean:

$\mu = \frac{\Sigma x_{i} }{N} =\frac{18+12+15+10+13+20+16+12+18+6}{10}= \frac{140}{10}\\ \mu=14$

Then, we calculate the difference between each value and the mean, from that difference, we are gonna use the absolute value.

18 - 14 = |4|

12 - 14 = |-2|

15 - 14 = |-1|

10 - 14 = |-4|

13 - 14 = |-1|

20 - 14 = |6|

16 - 14 = |2|

12 - 14 = |-2|

18 - 14 = |4|

6 - 14 = |-8|

Now, we sum all terms and divide them by the total number of elements, which are 14.

$MAD=\frac{4+2+1+4+1+6+2+2+4+8}{14}= \frac{34}{14}\\ MAD \approx 2.4$

Therefore, the absolute deviation is about 2 points. The right answer is B.