Question

The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x+2, 72, 78, 84, 95.

why write 1/2 ​

Answer 1

The value of x is 62.

Step-by-step explanation:

We are given with the following observations arranged in ascending order below;

29, 32, 48, 50, x, x+2, 72, 78, 84, 95.

Now, for calculating median firstly we have to observe that the number of observations (n) in the data above is even or odd, that is;

• If n is odd, then the formula for calculating median is;

                Median =  $(\frac{n+1}{2}^{th}) \text{ observation}$

• If n is even, then the formula for calculating median is;

                Median =  $\frac{(\frac{n}{2})^{th} obs. +(\frac{n}{2}+1)^{th} obs. }{2}$

Here, number of observations; n = 10 which means n is even.

So,  Median  =  $\frac{(\frac{n}{2})^{th} obs. +(\frac{n}{2}+1)^{th} obs. }{2}$

                     =  $\frac{(\frac{10}{2})^{th} obs. +(\frac{10}{2}+1)^{th} obs. }{2}$

                     =  $\frac{5^{th} obs. +6^{th} obs. }{2}$

                     =   $\frac{x +(x+2 )}{2}$     {As 5th obs. is x and 6th obs. is x+2 in our data}

              63   =  $\frac{2x+2}{2}$

           $2x+2=63 \times 2$

                 $2x=126-2$

                  $x=\frac{124}{2}$  = 62

Hence, the value of x is 62.

Learn more about median questions;

https://brainly.in/question/16986157

Answer 2

Answer:

first of fall converted into descending order.then apply the median formula.

hope it's helpful for you