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The histogram below shows information about the honey produced by some beehives in one year.
600 beehives each produced between
16kg and
18kg of honey.
Use this information to work out the value of
x on the frequency density axis. If your answer is a decimal, give it to 1 d.p.

The histogram below shows information about the honey produced by some beehives in one year. $\newline$ $600$ beehives each produced between $16 \mathrm{~kg}$ and $18 \mathrm{~kg}$ of honey. $\newline$ Use this information to work out the value of $x$ on the frequency density axis. If your answer is a decimal, give it to $1$ d.p.

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Write equations of sine and cosine functions using properties

Full solution

Q. The histogram below shows information about the honey produced by some beehives in one year.

\newline

600

beehives each produced between

16 \mathrm{~kg}

and

18 \mathrm{~kg}

of honey.

\newline

Use this information to work out the value of

x

on the frequency density axis. If your answer is a decimal, give it to

1

d.p.

Find Class Width: Find the class width for the histogram. $\newline$ Class width = Upper boundary - Lower boundary $\newline$ Class width = $18\,\text{kg}$ - $16\,\text{kg}$ $\newline$ Class width = $2\,\text{kg}$
Use Frequency Density Formula: Use the formula for frequency density. Frequency density = $\frac{\text{Frequency}}{\text{Class width}}$ Frequency density = $\frac{x}{2\text{kg}}$
Solve for x: Solve for x using the given frequency. $\newline$ $600$ beehives each produced between $16\,\text{kg}$ and $18\,\text{kg}$ . $\newline$ $x = \text{Frequency density} \times \text{Class width}$ $\newline$ $x = 600 \times 2\,\text{kg}$ $\newline$ $x = 1200$

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