Bar Charts

Grade 2

What a bar chart actually shows

A bar chart uses rectangular bars to represent frequencies or amounts. Each bar stands for one category, the height (or length, if it's horizontal) tells you the value, and there are gaps between the bars to show the categories are separate — not continuous.

The common mistake is rushing past the scale. Always check what one small square on the vertical axis is worth before you read or draw anything.

Reading a bar chart

EXAMPLE
A bar chart shows the number of books read by students in a class. The bar for "3 books" reaches up to 8. The bar for "4 books" reaches up to 5. How many students read more than 3 books?
Only the bar for "4 books" counts as more than 3. That bar has a height of 5. 5 students read more than 3 books.

Drawing a bar chart — the checklist

When you draw one from scratch, every mark counts:

Axis labels — name both axes. Scale — start at 0 and space equally. Bar widths — make them equal and leave gaps between bars. Title — add one if the question asks.

If the scale goes up in 2s and your value is 7, draw the bar halfway between the 6 and 8 line. Don't just stop at 6 because it's the nearest line below.

Compound and dual bar charts

A dual bar chart places two bars side by side for the same category — useful for comparing two groups (e.g. boys vs girls). A compound (stacked) bar chart stacks the two values on top of each other in one bar.

Dual bars make it easier to compare between groups. Compound bars make it easier to see the total. The question will tell you which to draw — don't swap them.
Nova
Try this one

A pictogram shows the number of sandwiches sold at a cafe. The key states that each full symbol represents 8 sandwiches.

DaySymbols
Monday4 full symbols
Tuesday3 full symbols and 1 half symbol
Wednesday2 full symbols and 1 half symbol

(a) Work out the total number of sandwiches sold across all three days. [3]

(b) The cafe owner says: "More than 80 sandwiches were sold in total over these three days." Is the owner correct? Show your working. [1]

Nova's hint:

Interpreting pictograms: convert each row to a number of sandwiches by multiplying full symbols by the key value and adding half the key value for each half symbol.

Ask yourself: 'What is half of 8, and have I accounted for every full and half symbol in each row before adding them all together?'

Try to Solve it with Nova?