Girls, boys, chess and cricket

In your book, Maths Mela (Chapter 14, Data Handling), you find out which of your classmates play chess, which play cricket, which play both and which play neither. Then you sort them into a table with a column for girls and a column for boys, and four rows: 'Chess but not Cricket', 'Cricket but not Chess', 'Both' and 'Neither'.

Each child goes in exactly one row. A child who plays chess and also plays cricket goes in 'Both'. A child who plays no chess and no cricket goes in 'Neither'.

Here is one class's table, as an example. Chess but not Cricket: 5 girls, 3 boys. Cricket but not Chess: 4 girls, 7 boys. Both: 3 girls, 4 boys. Neither: 2 girls, 1 boy.

Careful: the children in 'Both' play chess AND cricket, so they count for both games. Girls who play chess are 5 + 3 = 8; boys who play chess are 3 + 4 = 7, so girls play chess more. Girls who play cricket are 4 + 3 = 7; boys who play cricket are 7 + 4 = 11, so boys play cricket more. The children who play both games are 3 girls + 4 boys = 7.