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Histogram drawn: For fully correct histogram, relative heights 1.5, 5, 6, 2.5 - Edexcel - GCSE Maths - Question 14 - 2022 - Paper 1
Question 14
Histogram drawn: For fully correct histogram, relative heights 1.5, 5, 6, 2.5. Frequency densities are 1.5, 5, 6, 2.5.
Worked Solution & Example Answer:Histogram drawn: For fully correct histogram, relative heights 1.5, 5, 6, 2.5 - Edexcel - GCSE Maths - Question 14 - 2022 - Paper 1
Step 1
a) Correct bars
Answer
To draw the histogram correctly, we need to ensure that each bar represents the frequency density accurately based on the given values of 1.5, 5, 6, and 2.5. The heights of the bars should correspond to these frequencies, ensuring that the relative proportions are maintained. For a fully correct histogram, check that
- Bar 1 has a height of 1.5
- Bar 2 has a height of 5
- Bar 3 has a height of 6
- Bar 4 has a height of 2.5
Each bar's width should also be equal to ensure the histogram's aesthetic and conceptual accuracy.
Step 2
b) Correct bars of different widths
Answer
To draw the histogram with bars of different widths, we must maintain the same frequency densities while adjusting the bar widths. Ensure that at least two bars have different widths, for example:
- Bar 1 (width = 1, height = 1.5)
- Bar 2 (width = 2, height = 5)
This can involve recalculating the height (frequency density) based on the frequency and width to keep the histogram accurate.
Step 3
c) Frequency - class interval for at least 3 frequencies
Answer
In this part, we need to ensure that the histogram represents frequency densities at least for three different frequencies. Consequently, make sure our bars reflect:
- Frequency density for the first class interval corresponds to 1.5
- Frequency density for the second class interval corresponds to 5
- Frequency density for the third class interval corresponds to 6 This allows for a clear depiction of the data where each frequency density can be interpreted correctly.