Median Calculator Mean Calculator Mode Calculator First Quartile Calculator Relative Standard Deviation Calculator Anova Calculator Covariance Calculator Gamma Function Calculator Average Calculator Descriptive Statistics Calculator

Find Out the First Quartile of 82,98,36,48,57

Make use of our Lower or First Quartile Calculator and know the exact result for the Lower (or) First Quartile of the Numbers 82,98,36,48,57 is 42 in a fraction of seconds along with a stepwise solution.

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

First Quartile of:

Detailed Solution for First Quartile of 82,98,36,48,57

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 82,98,36,48,57

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

36,48,57,82,98


The length of the given data values are 5.

If the length of the numbers are odd, the middle number 57 can be used to divide the first half of the numbers and the other half.

The First half of the numbers are 36,48

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 36, 48

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

36,48

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 36 and 48

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

The Mean of the numbers 36 and 48 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 36,48

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

Now, the Sum of the Data Values will be

x0 + x1 + x2 + x3 + .... + xi = 36+48


Σ xn = 84

Therefore, the Mean of Data is

X̄ = Σ xn / n

X̄ = 84 / 2

X̄ = 42

The Mean of Data is 42

[ n / 2 + (n+2) / 2] / 2 = (36+48) / 2

Average (or) Mean of two middle numbers is [42]

Median of the numbers is 42

The Lower (or) First Quartile of the Numbers 82,98,36,48,57 is 42

Frequently Asked Questions on First Quartile of 82,98,36,48,57

1. What is the First Quartile value for given data set 82,98,36,48,57?

The Lower (or) First Quartile of the Numbers 82,98,36,48,57 is 42.


2. What is the median of the Q1 numbers 82,98,36,48,57?

The median of the first quarter set is 42 which is nothing but the lower quartile value.


3. How can I find the lower quartile of numbers 82,98,36,48,57?

Take the set of data as input and enter the list in our free online lower or first quartile calculator and click on the calculate button to find the first quartile or Q1 of numbers 82,98,36,48,57.