Find The 5 Number Summary

The five number summary figurer is used to calculate the 5-number summary, which consists of v different calculations. In add-on to the basic 5 calculations, information technology besides gives IQR, graph, and descending order.

What is a Five-number summary?

This summary includes 5 calculations that give information nearly the range, location, and spread of the data. These calculations include:

Minimum number
The first quartile Q1
Median
The second quartile Q2, and
Maximum number

Notwithstanding, if you desire to summate quartiles, you lot can use our quartile calculator anytime.

What are the steps to discover five number summary?

As nosotros have described earlier, this summary consists of a total of five values, which are minimum and maximum numbers, median, and first and third quartile. Follow these steps to calculate the v-number summary.

Arrange your information in ascending order (from lower to higher).
Get the minimum and maximum values from the arranged values.
Find the median from these values. Median tin can be plant by locating the middle value in an bundled ready of information. If at that place are 2 middle numbers, add together them and split them with two to get the median.
Wrap the parenthesis around the values which are on the left and right side of the median. See the below epitome.
Find the first and third quartiles. 1^st quartile can be found as the median in the lower quartile, and iii^rd quartile can be institute every bit the median in the upper quartile.
Write down all values together to get a summary.

Instance:

Allow'southward calculate 5 number summary using an example to sympathise the process properly.

Calculate the five number summary in data set5, 2, xix, 6, 7, one, 18, 9, 12, 15, 27.

Solution:

Stride 1: Arrange the data set up in ascending order.

1, ii, 5, half-dozen, 7, 9, 12, fifteen, 18, 19, 27

Step ii:Become the minimum and maximum values in the data set.

Minimum value = 1

Maximum value = 27

Stride 3: Find the median from these values.

Median = 9

Footstep four:Wrap the parenthesis around the values which are on the left and right sides of the median.

(1, 2, v, half dozen, seven), 9, (12, 15, 18, 19, 27)

Step 5:Discover the starting time and third quartiles. 1^st quartile tin can be institute as the median in the lower quartile, and three^rd quartile tin can be found equally the median in the upper quartile.

Q1 = 5

Q2 = 18

Pace 6: Write down all values together to get a summary.