Question

Here is a list of ages (years) of children in a room: 4, 3, 2, 10, 10, 6, 7 State the median.

Answer 1

Answer

6

Step by step explanation

Given data : 4 , 3 , 2 , 10 , 10 , 6 , 7

Arranging the data in ascending order, we have,

2 , 3 , 4 , 6 , 7 , 10 , 10

Here, n ( total number of items) = 7

Now, position of median:

`{( (n + 1)/(2)) }^(th)` item

plug the value

`= {( (7 + 1)/(2) )}^(th)` item

Add the numbers

`=( { (8)/(2) )}^(th)` item

Divide

`= {4}^(th)` item

i.e 4th item is the median

Median = 6

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Further more explanation:

Let's take another example:

please see the attached picture.

In the above series, the numbers are arranged in ascending order. Here, the fourth item 17 has three items before it and three items after it. So, 17 is the middle item in the series. 17 is called the median of the series.

Thus, Median is the value of the middle - most observation, when the data are arranged in ascending or descending order of magnitude.

Hope I helped..

Best regards!!

Answer 2

Answer: 6

Explanation:

Lets re- write the numbers in growing order.

2,3,4,6,7,10,10

The number that stays exactly in the middle of the the sequence is the median.

Number 6 stays in the middle. So 6 is the median