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VerLearn Tamil through proverbs, poetry and play.
Algebra and geometry · Level 9

Statistics

Frequency tables, class marks, mean and median.

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The idea

A frequency table counts how often each value appears.

02468101230–10710–201220–30630–40240–50students
02468101230–10710–201220–30630–40240–50students

Look: Marks out of 50. Most students scored 20–30.

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  1. 1Most common shoe size above?

  2. 2How many students in the marks graph?

  3. 3Values 1, 2, 3 with counts 4, 3, 3. Mean?

! Careful!

  • ✗Averaging 5, 6, 7, 8, 9 and ignoring how many people.

    ✓Weight each size by how many people wear it.

  • ✗Gaps between bars for grouped data.

    ✓Bars touch for grouped data.

See the whole lesson on one page

A frequency table counts how often each value appears.

To find the mean from a table, multiply each value by how often it appears, add those up, and divide by the total count.

Think of it like thisA shoe shop counts how many people wear each size, so it knows which sizes to stock most.

02468101230–10710–201220–30630–40240–50students
02468101230–10710–201220–30630–40240–50students
Marks out of 50. Most students scored 20–30.

Solved together

Question

Shoe sizes: 5 (3 people), 6 (5), 7 (7), 8 (4), 9 (1). Find the mean size.

  1. Multiply each size by how many people.

    SizePeopleSize × people5315653077498432919Total20135
    SizePeopleSize ×people5315653077498432919Total20135
  2. Divide the big total by the number of people.

    135 ÷ 20 = 6.75

AnswerMean size 6.75.

Now practise it

Kanakku makes new questions on statistics every time. It shows the working and gives a hint when you are stuck.

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