Data Through Pictures
Changing the scale
Find out what happens when the scale of a pictograph changes.
In your book, Maths Mela (Chapter 15, Data Through Pictures), after reading Dipesh's pictograph the book asks: is there any other scale you could use? Choose one and show the same data again.
Joseph Uncle has 40 toys, 50 board games and 60 sports items. With 1 icon = 5 items, Dipesh drew 8, 10 and 12 icons. Let us try 1 icon = 10 items instead. To find how many icons a row needs, divide the number by the scale. Toys: 40 ÷ 10 = 4 icons. Board games: 50 ÷ 10 = 5 icons. Sports items: 60 ÷ 10 = 6 icons.
The data has not changed; only the picture has. A bigger scale means fewer icons: 40 toys need 8 icons at 5 per icon, but only 4 icons at 10 per icon. A smaller scale means more icons.
Deepti's two-wheelers were 24 on Monday, 12 on Wednesday and 36 on Friday. With 1 icon = 3 she drew 8, 4 and 12 icons. With 1 icon = 6 she would draw 24 ÷ 6 = 4, 12 ÷ 6 = 2 and 36 ÷ 6 = 6 icons. A good scale is one that divides every number exactly, so no row needs part of an icon.
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