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Statistics
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United KingdomEngland
Key Stage 3

Number of Observations

Lesson
Practice
Lesson

The number of scores in a data set is also called the total frequency. The number of scores in a data set is simply how many numbers there are written down. For example, if you survey $$40 people, then you will have $$40 scores in your data set.

To find the number of scores in a set, we simply have to count all the scores in our set. For example, if we had the numbers $$17, $$19 and $$22 in a data set, we could count the scores and say that the number of scores (or the total frequency) is $$3 because there are three numbers in the set.

Worked Examples

Question 1

Ms Barnett has just marked a set of homework. The scores she gave were:

$$99,26,36,31,2

  1. How many pieces of homework did Ms Barnett mark?

    $$

QUESTION 2

Aaron has been recording the number of goals he has scored in soccer matches so far this year.

$$1,2,4,2,3,4,2,2,1,3,2

  1. How many soccer games has Aaron played so far this year?

  2. What is the total number of goals Aaron scored in all matches?

QUESTION 3

A teacher has marked a set of tests and put the scores of her class into the table below.

Score Frequency
$$26 $$13
$$27 $$8
$$28 $$2
$$29 $$19
$$30 $$5
  1. How many students took the test?

QUESTION 4

The frequency polygon below shows the scores awarded to a mathletes team during several recent competitions.

Frequency PolygonScoresFrequency102028293031323334

  1. How many competitions have the mathletes team taken part in recently?

 

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