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CIE A Level Maths: Probability & Statistics 1复习笔记1.2.4 Histograms
Category:
A-level课程
,
教材笔记
,
福利干货
Date: 2022年8月18日 上午10:26
Histograms
What is a histogram?
A histogram is similar to a bar chart but with some
key differences
A histogram is for displaying
grouped continuous data
whereas a bar chart is for
discrete
or
qualitative data
There will never be any gaps between the bars of adjacent groups in a histogram
Whilst in a bar chart the frequency is read from the
height
of the bar, in a histogram the height of the bar is the
frequency density
On a histogram
frequency density
is plotted on the y – axis
This allows a histogram to be plotted for
unequal class intervals
It is particularly useful if data is spread out at either or both ends
The
area
of each bar on a histogram will be
proportional
to the frequency in that class
How do I draw a histogram?
Step 1.
Always check that there are no gaps between the upper boundary of a class and the lower boundary of the next class
If there are gaps you will need to close them by changing the boundaries before carrying out any calculations
Consider whether the values are rounded or
truncated
before closing the gaps
Step 2.
Find the
class width
of each group by subtracting the lower boundary from the upper boundary
Step 3
. Calculate the
frequency density
for each group using the formula:
Step 4.
The histogram will be drawn with the data values on the x – axis and frequency density on the y – axis
Remember that the scale on both axes must be even, although the class widths may be uneven
Both axes should be clearly labelled and units included on the x – axis
Most often, the bars will have different widths
How do we interpret a histogram?
It is important to remember that the y – axis does not tell us the frequency of each bar in the histogram
The frequency of a class is found by
You may be asked to find the frequency of part of a bar within a histogram
Find the area of that section of the bar using any information you have already found out
Worked Example
(a)Complete the histogram.
(b)Estimate the number of dolphins whose weight is greater than 13 kg.
Exam Tip
Look carefully at the scales on the axes, it will rarely be a simple 1 unit to 1 square.
转载自savemyexams
Previous post: CIE A Level Maths: Probability & Statistics 1复习笔记1.2.3 Box Plots & Cumulative Frequency
Next post: CIE A Level Maths: Probability & Statistics 1复习笔记1.3.1 Interpreting Data
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