Question

Find the mean deviation about the median for the data in: 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17

Answer 1

Answer:

2.33

Step-by-step explanation:

13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17

lets put data in ascending order

10  , 11 , 11  , 12  , 13  , 13 , 14 ,  16 , 16 , 17 , 17 , 18

Tota number = 12

Median = (6th number + 7th number)/2

= (13 + 14)/2

= 13.5

X      | X - Median |

10     3.5

11      2.5

11      2.5

12      1.5

13     0.5

13     0.5

14     0.5  

16      2.5

16     2.5

17     3.5

17      3.5

18     4.5

Total  = 28

mean deviation about the median  = 28/12 = 2.33

Answer 2

Answer:

Therefore, Mean deviation about the median = 2.33

Step-by-step explanation:

In this question,

We have to find the mean deviation about the median for the data in

13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17

Let us put the data in ascending order

10, 11, 11, 12, 13, 13, 14, 16, 16, 17, 17, 18

Total numbers given = 12

Median = $\mathbf{\frac{(6th\ number + 7th\ number)}{2}}$

= $\frac{(13 + 14)}{2}$

= 13.5

X      | X - Median |

10     3.5

11      2.5

11      2.5

12      1.5

13     0.5

13     0.5

14     0.5  

16      2.5

16     2.5

17     3.5

17      3.5

18     4.5

Total  = 28

Mean deviation about the median  = $\frac{28}{12}$ = 2.33

Therefore, Mean deviation about the median = 2.33