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Determining Five Number Summary of 978,437,340,587,338

Utilize the Five Number Summary Calculator and find the set of observations of a data ie., 978,437,340,587,338, and displays the outcome as the min value is 338, the max value is 978, the median is 5, Q1 is 339, and Q3 is 782.5 in a fraction of seconds along with detailed solution steps.

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

Five Number Summary of:

Elaborate Solution Steps for Finding 5 Number Summary of Numbers 978,437,340,587,338

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 978,437,340,587,338

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

    338,340,437,587,978

    From the order of numbers,338 is the minimum number.

    Therefore, the Minimum of the given numbers 978,437,340,587,338 is 338.

  • Maximum (Max) - the largest observation :
  • Given numbers are 978,437,340,587,338

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

    338,340,437,587,978


    From the order of numbers, 978 is the maximum number.

    Therefore, the Maximum of the given numbers 978,437,340,587,338 is 978.

  • 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 978,437,340,587,338

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

    338,340,437,587,978

    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 437

    So,The Median of the numbers is 437.

  • 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 978,437,340,587,338

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

    338,340,437,587,978


    The length of the given data values are 5.

    If the length of the numbers are odd, the middle number 437 can be used to divide the first half of the numbers and the other half.

    The First half of the numbers are 338,340

    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 338, 340

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

    338,340

    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 338 and 340

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

    The Mean of the numbers 338 and 340 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 338,340

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

    Now, the Sum of the Data Values will be

    x0 + x1 + x2 + x3 + .... + xi = 338+340


    Σ xn = 678

    Therefore, the Mean of Data is

    X̄ = Σ xn / n

    X̄ = 678 / 2

    X̄ = 339

    The Mean of Data is 339

    [ n / 2 + (n+2) / 2] / 2 = (338+340) / 2

    Average (or) Mean of two middle numbers is [339]

    Median of the numbers is 339

    The Lower (or) First Quartile of the Numbers 978,437,340,587,338 is 339

  • 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 978,437,340,587,338

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

    338,340,437,587,978


    The length of the given data values are 5.

    If the length of the numbers are odd, the middle number 437 can be used to divide the first half of the numbers and the other half.

    The Second half of the numbers are 587,978

    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 587, 978

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

    587,978

    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 587 and 978

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

    The Mean of the numbers 587 and 978 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 587,978

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

    Now, the Sum of the Data Values will be

    x0 + x1 + x2 + x3 + .... + xi = 587+978


    Σ xn = 1565

    Therefore, the Mean of Data is

    X̄ = Σ xn / n

    X̄ = 1565 / 2

    X̄ = 782.5

    The Mean of Data is 782.5

    [ n / 2 + (n+2) / 2] / 2 = (587+978) / 2

    Average (or) Mean of two middle numbers is [782.5]

    Median of the numbers is 782.5

    The Upper (or) Third Quartile of the Numbers 978,437,340,587,338 is 782.5

    Frequently Asked Questions on Five Number Summary of 978,437,340,587,338

    1. How to do the Five Number Summary of 978,437,340,587,338?

    You can calculate the 5 number summary of 978,437,340,587,338 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 978,437,340,587,338?

    The Five number summary of numbers 978,437,340,587,338 is the minimum value is 338, the maximum value is 978, the median is 5, the first quartile Q1 is 339, and the third quartile Q3 is 782.5.


    3. Where do I get exact steps on the 5 number summary of 978,437,340,587,338?

    You can find exact steps on the five (5) number summary of 978,437,340,587,338 on our page.