IMOClass 5 › Data Handling

Data Handling

Double Bar Graphs & Pie Charts

A double bar graph shows two sets of data side by side, so we can compare them — for example, the marks of boys and girls in each subject. The taller bar shows the larger value.

A pie chart shows parts of a whole as slices of a circle; a slice that is half the circle stands for half the data.

Example 1: What does a double bar graph let us do?
Compare two sets of data side by side.
Example 2: A pie chart shows half the circle for cricket. What does that mean?
Half of the people chose cricket.
Quick recap
  • A double bar graph compares two sets of data.
  • A pie chart shows parts of a whole as slices.
✓ Quick check
A double bar graph is used to compare ___ ?
It compares two sets of data side by side.
In a bar graph, the taller bar shows the ___ value.
A taller bar means a larger value.

Mean, Median & Mode

The mean (average) is the sum of the values divided by how many there are. The median is the middle value when the data is arranged in order. The mode is the value that appears most often.

For 2, 4, 6: mean = (2 + 4 + 6) ÷ 3 = 4. For 3, 5, 7: the median is 5.

Example 1: Find the mean of 2, 4, 6.
(2 + 4 + 6) ÷ 3 = 12 ÷ 3 = 4.
Example 2: Find the mode of 3, 5, 3, 7.
3 appears most often, so the mode is 3.
Quick recap
  • Mean = sum ÷ number of values.
  • Median = middle value (in order); mode = most frequent value.
✓ Quick check
What is the mean of 4, 6, 8?
(4 + 6 + 8) ÷ 3 = 18 ÷ 3 = 6.
What is the mode of 2, 2, 3, 4?
2 appears most often, so the mode is 2.

Probability

Probability describes how likely something is. An event can be certain (sure to happen), impossible (cannot happen), equally likely (a 50-50 chance), or less likely (unlikely).

Getting heads or tails on a fair coin is equally likely. The sun rising tomorrow is certain. Rolling a 7 on a normal six-sided dice is impossible.

Example 1: How likely is getting heads or tails on a fair coin?
Equally likely — a 50-50 chance.
Example 2: How likely is the sun rising tomorrow?
Certain — it is sure to happen.
Quick recap
  • Probability words: certain, impossible, equally likely, less likely.
  • A fair coin gives heads or tails as equally likely.
✓ Quick check
Rolling a 7 on a normal six-sided dice is ___ ?
A normal dice only has 1 to 6, so a 7 is impossible.
A pie chart shows parts of a ___ ?
A pie chart shows parts of a whole.
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