# Determining Five Number Summary of 3,7,5,2,8,9

Utilize the Five Number Summary Calculator and find the set of observations of a data ie., 3,7,5,2,8,9, and displays the outcome as the min value is 2, the max value is 9, the median is 6, Q1 is 3, and Q3 is 8 in a fraction of seconds along with detailed solution steps.

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

Five Number Summary of:

## Elaborate Solution Steps for Finding 5 Number Summary of Numbers 3,7,5,2,8,9

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:

• Minimum (Min) - the smallest observation
• Maximum (Max) - the largest observation
• Median (M) - the middle term
• First Quartile (Q1) - the middle term of values below the median
• Third Quartile (Q3) - the middle term of values above the median

• Minimum (Min) - the smallest observation :
• Given numbers are 3,7,5,2,8,9

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

2,3,5,7,8,9

From the order of numbers,2 is the minimum number.

Therefore, the Minimum of the given numbers 3,7,5,2,8,9 is 2.

• Maximum (Max) - the largest observation :
• Given numbers are 3,7,5,2,8,9

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

2,3,5,7,8,9

From the order of numbers, 9 is the maximum number.

Therefore, the Maximum of the given numbers 3,7,5,2,8,9 is 9.

• Median (M) - the middle term :
• 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 3,7,5,2,8,9

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

2,3,5,7,8,9

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 = 6

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

n / 2 = 6 / 2

n / 2 = 3

(n+2) / 2 = (6+2) / 2

n+2 / 2 = 4

The two middle number items 3 and 4 contains the numbers 5 and 7

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

The Mean of the numbers 5 and 7 is

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 = (x0 +x1 +x2 +x3 .......+xn) / n

X̄ = Σ xn / n

The Given Numbers are 5,7

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

Now, the Sum of the Data Values will be

x0 + x1 + x2 + x3 + .... + xi = 5+7

Σ xn = 12

Therefore, the Mean of Data is

X̄ = Σ xn / n

X̄ = 12 / 2

X̄ = 6

The Mean of Data is 6

[ n / 2 + (n+2) / 2] / 2 = (5+7) / 2

Average (or) Mean of two middle numbers is 

Median of the numbers is 6

• First Quartile (Q1) - the middle term of values below the median :
• 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 3,7,5,2,8,9

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

2,3,5,7,8,9

The length of the given data values are 6.

The data can be divided into two halves with 3 numbers each.

The First half of the numbers are 2,3,5

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 2, 3, 5

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

2,3,5

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 = 3

(n+1) / 2 = (3+1) / 2

(n+1) / 2 = 2

The number item 2 contains the number 3

So,The Median of the numbers is 3.

The Lower (or) First Quartile of the Numbers 3,7,5,2,8,9 is 3

• Third Quartile (Q3) - the middle term of values above the median :
• 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 3,7,5,2,8,9

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

2,3,5,7,8,9

The length of the given data values are 6.

The data can be divided into two halves with 3 numbers each.

The Second half of the numbers are 7,8,9

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 7, 8, 9

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

7,8,9

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 = 3

(n+1) / 2 = (3+1) / 2

(n+1) / 2 = 2

The number item 2 contains the number 8

So,The Median of the numbers is 8.

The Upper (or) Third Quartile of the Numbers 3,7,5,2,8,9 is 8

### Frequently Asked Questions on Five Number Summary of 3,7,5,2,8,9

1. How to do the Five Number Summary of 3,7,5,2,8,9?

You can calculate the 5 number summary of 3,7,5,2,8,9 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 3,7,5,2,8,9?

The Five number summary of numbers 3,7,5,2,8,9 is the minimum value is 2, the maximum value is 9, the median is 6, the first quartile Q1 is 3, and the third quartile Q3 is 8.

3. Where do I get exact steps on the 5 number summary of 3,7,5,2,8,9?

You can find exact steps on the five (5) number summary of 3,7,5,2,8,9 on our page.