Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A gardener measures the heights of 80 seedlings in a made-up trial. The histogram has five bins, 10 to 15, 15 to 20, 20 to 25, 25 to 30 and 30 to 35 cm, with frequencies 6, 14, 28, 20 and 12. What percentage of the seedlings are in the tallest bar? What percentage are shorter than 20 cm? What percentage are at least 25 cm tall?
A histogram counts numerical values into bins of equal width, with touching bars. An edge value goes into the bin above. With unequal bins the height is the frequency density:
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The tallest bar. The bin 20 to 25 cm holds 28 seedlings. .
Step 2. Shorter than 20 cm. The first two bins hold seedlings. .
Step 3. At least 25 cm. The last two bins hold seedlings. .
Answer: , and .
Check. The three groups 10 to 20, 20 to 25 and 25 to 35 cm cover everything: .
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