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:
- MEAN
- MEDIAN
- MAX
- Q1
- 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:
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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