Utilize the Five Number Summary Calculator and find the set of observations of a data ie., 721303,912810,300954,131164,563321, and displays the outcome as the min value is 131164, the max value is 912810, the median is 5, Q1 is 216059, and Q3 is 817056.5 in a fraction of seconds along with detailed solution steps.

**Ex:** 32,45,12,17,43,68,75,8,11,29

Five Number Summary:

The Five-Number Summary is a descriptive statistic that provides information about a Set of Observations. It consists of the following statistics:

Given numbers are 721303,912810,300954,131164,563321

Firstly, the given numbers are made in an ascending order.

131164,300954,563321,721303,912810

From the order of numbers,131164 is the minimum number.

Therefore, the Minimum of the given numbers 721303,912810,300954,131164,563321 is 131164.

Given numbers are 721303,912810,300954,131164,563321

Firstly, the given numbers are made in an ascending order.

131164,300954,563321,721303,912810

From the order of numbers, 912810 is the maximum number.

Therefore, the Maximum of the given numbers 721303,912810,300954,131164,563321 is 912810.

Median:

The Median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

Formula for Median of Numbers:

If we have odd set of numbers,the formula will be:

Median=[ (n+1) / 2 ]^{th} item

where n=Set of Numbers

If we have even set of numbers, the formula will be:

Median=Mean of two middle items

i.e., Median=Average of [ n / 2 ]^{th} item and [ n+2 / 2 ]^{th} item

The given numbers are 721303,912810,300954,131164,563321

Firstly, the numbers should be set in an ascending order.

131164,300954,563321,721303,912810

As these are having Odd set of numbers,the number in the middle of set of numbers is the Median

Median = (n+1) / 2

The Set of Numbers, i.e., n = 5

(n+1) / 2 = (5+1) / 2

(n+1) / 2 = 3

The number item 3 contains the number 563321

So,The Median of the numbers is 563321.

Lower (or) First Quartile:

The Lower Quartile (Q1) is the Median of the lower half of the data set which is the first half of the given data.

Given numbers are 721303,912810,300954,131164,563321

Firstly, the numbers should be set in an ascending order.

131164,300954,563321,721303,912810

The length of the given data values are 5.

If the length of the numbers are odd, the middle number 563321 can be used to divide the first half of the numbers and the other half.

The First half of the numbers are 131164,300954

Now, the Median of the numbers should be calculated.

Median:

The Median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

Formula for Median of Numbers:

If we have odd set of numbers,the formula will be:

Median=[ (n+1) / 2 ]^{th} item

where n=Set of Numbers

If we have even set of numbers, the formula will be:

Median=Mean of two middle items

i.e., Median=Average of [ n / 2 ]^{th} item and [ n+2 / 2 ]^{th} item

The given numbers are 131164, 300954

Firstly, the numbers should be set in an ascending order.

131164,300954

As these are having Even set of numbers,the Mean of the both middle numbers is the Median

The Set of Numbers, i.e., n = 2

The two middle numbers items will be n / 2 and (n+2) / 2

n / 2 = 2 / 2

n / 2 = 1

(n+2) / 2 = (2+2) / 2

n+2 / 2 = 2

The two middle number items 1 and 2 contains the numbers 131164 and 300954

Now these numbers should be calculated to know the mean of those numbers

Mean:

The Mean (or Average) of a set of Data Values is the Sum of all of the Data Values divided by the Number of Data Values.

Formula for Mean of Numbers:

Mean (or) Average of Numbers = Sum of the given data / Number of given data

Mean = (x_{0} +x_{1} +x_{2} +x_{3} .......+x_{n}) / n

X̄ = Σ x_{n} / n

The Given Numbers are **131164,300954**

Number of Data given, i.e., n = 2

Now, the Sum of the Data Values will be

x_{0} + x_{1} + x_{2} + x_{3} + .... + x_{i} = 131164+300954

Σ x_{n} = 432118

Therefore, the Mean of Data is

X̄ = Σ x_{n} / n

X̄ = 432118 / 2

X̄ = 216059

The Mean of Data is 216059

[ n / 2 + (n+2) / 2] / 2 = (131164+300954) / 2

Average (or) Mean of two middle numbers is [216059]

Median of the numbers is 216059

The Lower (or) First Quartile of the Numbers 721303,912810,300954,131164,563321 is 216059

Upper (or) Third Quartile:

The Upper Quartile (Q3) is the Median of the upper half of the data set which is the second half of the given data.

Given numbers are 721303,912810,300954,131164,563321

Firstly, the numbers should be set in an ascending order.

131164,300954,563321,721303,912810

The length of the given data values are 5.

If the length of the numbers are odd, the middle number 563321 can be used to divide the first half of the numbers and the other half.

The Second half of the numbers are 721303,912810

Now, the Median of the numbers should be calculated.

Median:

The Median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

Formula for Median of Numbers:

If we have odd set of numbers,the formula will be:

Median=[ (n+1) / 2 ]^{th} item

where n=Set of Numbers

If we have even set of numbers, the formula will be:

Median=Mean of two middle items

i.e., Median=Average of [ n / 2 ]^{th} item and [ n+2 / 2 ]^{th} item

The given numbers are 721303, 912810

Firstly, the numbers should be set in an ascending order.

721303,912810

As these are having Even set of numbers,the Mean of the both middle numbers is the Median

The Set of Numbers, i.e., n = 2

The two middle numbers items will be n / 2 and (n+2) / 2

n / 2 = 2 / 2

n / 2 = 1

(n+2) / 2 = (2+2) / 2

n+2 / 2 = 2

The two middle number items 1 and 2 contains the numbers 721303 and 912810

Now these numbers should be calculated to know the mean of those numbers

Mean:

The Mean (or Average) of a set of Data Values is the Sum of all of the Data Values divided by the Number of Data Values.

Formula for Mean of Numbers:

Mean (or) Average of Numbers = Sum of the given data / Number of given data

Mean = (x_{0} +x_{1} +x_{2} +x_{3} .......+x_{n}) / n

X̄ = Σ x_{n} / n

The Given Numbers are **721303,912810**

Number of Data given, i.e., n = 2

Now, the Sum of the Data Values will be

x_{0} + x_{1} + x_{2} + x_{3} + .... + x_{i} = 721303+912810

Σ x_{n} = 1634113

Therefore, the Mean of Data is

X̄ = Σ x_{n} / n

X̄ = 1634113 / 2

X̄ = 817056.5

The Mean of Data is 817056.5

[ n / 2 + (n+2) / 2] / 2 = (721303+912810) / 2

Average (or) Mean of two middle numbers is [817056.5]

Median of the numbers is 817056.5

The Upper (or) Third Quartile of the Numbers 721303,912810,300954,131164,563321 is 817056.5

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**1. How to do the Five Number Summary of 721303,912810,300954,131164,563321?**

You can calculate the 5 number summary of 721303,912810,300954,131164,563321 by just arranging the set in ascending order and use the formulas to find the median, first quartile, and third quartile and get the exact results for five-set of observations easily and quickly by hand.

**2. What is the Five number summary of numbers 721303,912810,300954,131164,563321?**

The Five number summary of numbers 721303,912810,300954,131164,563321 is the minimum value is 131164, the maximum value is 912810, the median is 5, the first quartile Q1 is 216059, and the third quartile Q3 is 817056.5.

**3. Where do I get exact steps on the 5 number summary of 721303,912810,300954,131164,563321?**

You can find exact steps on the five (5) number summary of 721303,912810,300954,131164,563321 on our page.