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:

Sr. No. X Mean Median Max Q1 Q2
01 03 03 03 03 03 03
02 03 03 03 03 03 03
03 08 08 08 08 08 08
04 10 10 10 10 10 10
05 12 12 12 12 12 12
06 14 14 14 14 14 14
07 16 16 16 16 16 16
08 20 20 20 20 20 20
Total No of X=8 10.75 11 20 5.5 15

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

The table consist

Mean:

The Mean x1 + x2 + -- + xn / n
MEAN FORMULA

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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