Question

The median of the values 2000, 1180, 1785, 1500, 560, 782, 1200, 385, 1123, 222 is

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Answer 1

Answer:

Arrangement in ascending order =

1. 222
2. 385
3. 560
4. 782
5. 1123
6. 1180
7. 1200
8. 1500
9. 1785
10. 2000

Total number of values= n = 10

As the total number of values is an even number,

Therefore, median for the given data =

Average of :

$\\\frac{n}{2} ^{th} and \frac{n }{2} +1 ^{th} observations$

Putting the value of n, we get:

=$\frac{10}{2} th$ and $\frac{10}{2} + 1 ^{th}$ observations

= 5$^{th}$ and 6$^{th}$ observations

Now, 5th and 6th observations are respectively 1123 and 1180

Finding the average, we get:

=  $\frac{1123 + 1180}{2}$           [Sum of observations/number of observations]

=   $\frac{2303}{2}$

= 1151.5