Question

f the median of the following 9 observations is 20, then find the value of x
19, x, 16, 18, 22, 17, 24, 23, 21.
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Answer 1

f the median of the following 9 observations is 20, then the value of x is

19, x, 16, 18, 22, 17, 24, 23, 21.

First, we need to arrange the given observation in ascending order.

16, 17, 18, 19, 21, 22, 23, 24, x​

The median is the middle term, if the number of observations is odd.

Therefore, since given the median is 20.

And if we place the median in given observation, it will be next to 19.

16, 17, 18, 19, 20, 21, 22, 23, 24

Therefore "x" must be equal to 20.

Answer 2

20 must be the value of x.

Step-by-step explanation:

The number of observations is 9. The number of observations being an odd number then the middle number of them after arranging them from lowest to largest values will be the median of those 9 observations,

Now, given that the 9 observation values are 19, x, 16, 18, 22, 17, 24, 23, and 21 and the median of them is given to be 20.

So, 20 must be the value of x such that 20 becomes the middle number of those 9 observations when we arrange them from lowest value to highest one like 16, 17, 18, 19, 20, 21, 22, 23, 24. (Answer)