Skip to content
The Lumenary

Practice · Grades 3–5

Data displays and the mean as a fair share

Data displays and the mean as a fair share

Warm-upHuman

On a bar graph, each grid line stands for 5 children. The bar for "football" reaches exactly the 4th grid line. How many children chose football?

Data displays and the mean as a fair share

Warm-upHuman

On another bar graph the grid lines are labelled 0, 2, 4, 6, 8, … The bar for "cycling" stops exactly halfway between the lines for 8 and 10. How many children cycle?

Data displays and the mean as a fair share

CoreHuman

A fruit seller in Accra makes two pictographs. In the mango chart, one picture stands for 5 mangoes, and the row has 6 pictures. In the banana chart, one picture stands for 2 bananas, and the row has 9 pictures. How many more mangoes than bananas did she sell?

Data displays and the mean as a fair share

CoreHuman

Nadia scored 6, 9, 3 and 10 points in four basketball games. If her points were shared out equally over the four games, how many points would each game get? (This is the mean.)

Data displays and the mean as a fair share

CoreHuman

Five friends have a mean of 8 stickers each. Four of them have 6, 9, 5 and 10 stickers. How many stickers does the fifth friend have?

Data displays and the mean as a fair share

CoreHuman

A bar graph about two buses has an axis that starts at 90. The bar for Bus A (100 passengers) looks twice as tall as the bar for Bus B (95 passengers). What is true?

Choose one

Data displays and the mean as a fair share

CoreHuman

Rahul says: "The mean of 2, 4 and 9 can't be 5, because 5 isn't one of the numbers." Is he right?

Choose one

Data displays and the mean as a fair share

StretchComputational

Help Margaret. Complete fair_share(towers) so it returns the mean (total ÷ number of towers), and can_level(towers) so it returns True exactly when the towers can be levelled with whole cubes.

Runs entirely in your browser, in an isolated worker. Nothing is sent to a server.

Data displays and the mean as a fair share

StretchHuman

A list of data values are all between 3 and 9 (some may be equal to 3 or 9). Which of these could not be the mean?

Choose one

Data displays and the mean as a fair share

StretchFormal

Lean proved fair_share: if moves turn the towers d into level towers of height m, then d.length * m = d.sum. (d.length is the number of towers and d.sum is the total number of cubes.) Which sentence says the same thing?

Choose one