To work out the value of x on the frequency density axis, we need to use the given information about the number of beehives and the range of honey production.
Step 1: Find the total number of beehives:
The question states that there are 800 beehives.
Step 2: Calculate the range of honey production:
The range of honey production is given as between 16kg and 18kg.
Step 3: Determine the class width:
To find the class width, we subtract the lower value of the range from the higher value and divide it by the number of classes. However, since the number of classes is not given, we can assume it to be 10 for simplicity.
Class width = (18 - 16) / 10
Class width = 2 / 10
Class width = 0.2
Step 4: Calculate the frequency density:
The frequency density is derived by dividing the frequency (number of beehives) by the class width.
Frequency density = Number of beehives / Class width
Frequency density = 800 / 0.2
Frequency density = 4000
Step 5: Determine the value of x on the frequency density axis:
The value of x represents the frequency density. However, since the question asks for a decimal answer, we need to round the value to 1 decimal place.
Value of x = 4000 (rounded to 1 decimal place)
Value of x = 4000.0