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We are asked to find the value of \( x \) on the frequency density axis, based on the information from the histogram. Here's how we approach the problem:

### Step 1: Recall the formula for frequency density
The frequency density is calculated using the formula:
\[
\text{Frequency Density} = \frac{\text{Frequency}}{\text{Class Width}}
\]
In this case, we are given the frequency (400 beehives produced between 16 kg and 18 kg of honey).

### Step 2: Find the class width
The class width for the interval between 16 kg and 18 kg is:
\[
\text{Class Width} = 18 - 16 = 2 \text{ kg}
\]

### Step 3: Use the total frequency and frequency density
From the graph, the frequency density for the 16-18 kg interval appears to be \( x \), which we need to calculate.

Given:
- Frequency (for this interval) = 400 beehives
- Class Width = 2 kg

We can rearrange the formula for frequency density:
\[
x = \frac{400}{2} = 200
\]

Thus, the value of \( x \) on the frequency density axis is \( 200 \).

Would you like more details, or do you have any questions?

### Related questions:
1. How do we determine the frequency from a histogram with varying class widths?
2. What is the importance of class width in histogram calculations?
3. Can the frequency density formula be used for any kind of histogram?
4. How does the area of a bar in a histogram relate to the frequency?
5. What are some common mistakes to avoid when interpreting histograms?

### Tip:
Always check that class widths are consistent; if not, you'll need to adjust the frequency density calculation accordingly.

The histogram below shows information about the honey produced by some beehives in one year. 400 beehives each produced between 16 kg and 18 kg 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.

Learn how to calculate the frequency density for honey production from a histogram. The problem involves 400 beehives producing between 16 and 18 kg of honey, using the frequency density formula. Suitable for Grades 9-11.

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