# FIVE NUMBER SUMMARY: EXAMPLE

## WHAT IS FIVE NUMBER SUMMARY?

The FIVE NUMBER SUMMARY consists of five values, from that five values it provides the information from the data set. FIVE NUMBER SUMMARY: EXAMPLE is an example.

The Five Values in Five Number Summary:

1. MEAN
2. MEDIAN
3. MAX
4. Q1
5. Q2

I have explained all these Five Values in a previous article for FIVE NUMBER SUMMARY.

Go through the article and get to know what are the five values in five number summary.

In this article i will explain FIVE NUMBER SUMMARY by one example.

## FIVE NUMBER SUMMARY: EXAMPLE

Let us assume value for x so,

X = 03, 03, 08, 10, 12, 14, 16, 20

after assuming X arrange in the table as shown below:

As the table shows that i have arrange all the values in the table.

The table consist

### Mean:

So first we will calculate Mean:

As per the formula for mean says, Sum of values of X divided by Total number of x.

X = 03, 03, 08, 10, 12, 14, 16, 20

X = 03 + 03 + 08 + 10 + 12 + 14 + 16 +20 / 8

It will give the answer 10.75.

### Median:

After mean, second is median. As per the formula of median says –

If the values of x is odd than take the median as middle number or

If the values of x is even than take the middle two numbers and find the mean of it. The mean of the two number will be the Median.

So here, in the values of X the middle numbers are 10 & 12. Then the mean of this number is 11.

∴ 10 + 12 / 2 = 11

### Max:

The Max means the Maximum value in the x.

So Here, the maximum value in x is 20.

### Q1:

By separating the value of X in two parts we will get:

1 part = 03, 03, 08 and 10.

2 part = 12, 14, 16 and 20.

For Q1 we will calculate 1 part.

∴ 03 + 08 / 2 = 5.5 ( We have to calculate middle two term and get mean of it)

### Q2:

By separating the value of X in two parts we will get:

So the, 1 part = 03, 03, 08 and 10.

So the, 2 part = 12, 14, 16 and 20.

For Q2 we will calculate 2 part.

∴ 14 + 16 / 2 = 15 ( We have to calculate middle two term and get mean of it)

## Conclusion:

We have calculate all the Five Number Summary and answer are:

• MEAN = 10.75
• MEDIAN = 11
• MAX = 20
• Q1 = 5.5
• Q2 = 15

This are the five number summary.

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