The word 'relative' is provided to indicate that an event is being considered in relation or in proportion to something else.

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Frequency is a means to measure how often a particular event occurs. Relative frequency, on the other hand, is a means to measure up how regularly a certain event occurs against total occurrences.

Example:

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The total number of students in the data collection is uncovered by adding the heights of all the bars<= 10+ 20+ 25 + 5+ 10= 70>

The variety of students who prefer volleyball (= 20)

So, the relative frequency because that the Volleyball will certainly be (dfrac 2070 = 28.57) (to 2 decimals)

The over frequency can additionally be expressed simply as a portion (dfrac 27)

How to uncover the accumulation Frequency?

In statistics,the frequency that the first-class term is included to the frequency the the 2nd class, and also this sum is added to the 3rd class and so on. Frequencies the areobtained this method are well-known as cumulative frequency (c.f.).

Example:

Robert is the sales manager the a toy company. On checking his quarterly sales record, he can observe that by the month of April, a total of 83toy carswere sold.

MonthNumber that toy cars marketed (Frequency)Total variety of toy cars offered (Cumulative Frequency)
January2020
February3020 + 30 = 50
March1550 + 15 = 65
April1865 + 18 = 83

Note exactly how the critical cumulative total will always be same to the full for every observations because all frequencies will already have been added to the previous total.Here,83 = 20 + 30 + 15 +18


What is the basic Formula of family member Frequency?


To find therelative frequency, divide thefrequency(f) through the total number of data values (n).

The formula because that the relative frequency is provided as: (dfrac fn)


What is the Difference in between Probability and Relative Frequency?


There is a significant difference in between relative frequency and probability.

Probability is the measure of one expected event or an event that might occur. It is helpful in the situations when each outcome is equally likely.Relative frequency ~ above the contrary steps an actual event that has already occurred.

One can say the probability is theoretical while loved one frequency is much more practical.

Let's take an example of cards, to acquire this principle even better.

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As us all knowthere are 52 cards, the end of i beg your pardon 26 cards are black.

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If you had actually one single chance to randomly choose up a card the end of 52 cards, the probabilityof the black color card acquiring picked will certainly be

eginalign* ext Probability &= dfrac Number: of: black color :cards Total: number: the :cards\&=dfrac 2652\ &=dfrac12 \ &=0.5\%endalign*

However, come calculate family member frequency, us will need two data sets:

1. Number of times the black cards actually gained picked

2. Complete trials done for picking a card

So, if the end of 10 trials, black color cards obtained picked only 4timesthe loved one frequency forthe black color cardis

eginalign* ext Relativefrequency &= dfrac Number: of: :times :black :cards :got: picked Total: number: the :trials:done\&=dfrac 410\ &=40\%endalign*


How come Use relative Frequency Formula?


Let us learn how to usage the family member frequency formula to deal with the below-given problems.

1. There are 16students in a class, 6boys and 10girls. Find out the frequency and the loved one frequency the boys?

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Solution:

Frequency of boys ( ext (f)) = total number of boys (=6)

For family member frequency, us will usage thegeneral formula the the relative frequency (=dfrac fn)

<eginalign* ext Relativefrequency &= dfrac guys :count Total: college student :count\&=dfrac 616\ &=37.5\%endalign*>

We have the right to express loved one frequency both as a portion (dfrac616) and also a percent (37.5\%)