Look at the following data 4 9 5 7 4 7 6 10 10 7 8 3 The median of the data is

Known one data that is:

• 4, 9, 5, 7, 4, 7, 6, 10, 10, 7, 8, 3.

Median from data it is 7. We get these results by sorting the data from smallest to largest and then find the middle value.

Explanation with steps

Median is the middle value of the data that has been sorted from smallest to largest. If n is the amount of data, then the formula for the median is:

• Me = data to ½(n + 1), for n odd numbers.
• Me = ½ (data to ½n + data to (½n + 1)), for n number even.

Is known

4, 9, 5, 7, 4, 7, 6, 10, 10, 7, 8, 3.

asked

Determine the median of the data!

Java

Step 1

Data: 4, 9, 5, 7, 4, 7, 6, 10, 10, 7, 8, 3 we sort from smallest to largest to:

• 3, 4, 4, 5, 6, 7, 7, 7, 8, 9, 10, 10.

Step 2

The amount of data is 12 (n = 12), so we use the median to determine it formula for n even numbers.

Me = ½ (data to ½n + data to (½n + 1))

= ½ (data to ½ (12) + data to (½ (12) + 1))

= ½ (6th data + (6 + 1) data)

= ½ (6th data + 7th data)

= ½ (7 + 7)

= ½ (14)

= 7

Step 3

Another way is to look directly at the middle value of the data that has been sorted, namely:

3, 4, 4, 5, 6, 7 | 7, 7, 8, 9, 10, 10

median

We can see that the middle or median value lies between 7 and 7, which is equal to 7. So the median of the data it is 7.

Question Details

Class: 9

Course: Mathematics

Category: Statistics