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"Histogram" data collection, organization and description PPT courseware 2
Import new class:
In order to understand the physical development of middle school students, the heights of 60 girls of the same age in a middle school were measured. The results are as follows (unit: cm)
167 154 159 166 169 159 156 166 162 158
159 156 166 160 164 160 157 156 157 161
160 156 166 160 164 160 157 156 157 161
158 158 153 158 164 158 163 158 153 157
162 162 159 154 165 166 157 151 146 151
158 160 165 158 163 163 162 161 154 165
162 162 159 157 159 149 164 168 159 153
To know the proportion of the height data of 60 girls in each small range, the data needs to be sorted.
1. Calculate the difference between the maximum value and the minimum value:
The maximum value is 169 and the minimum value is 146
Their difference is: 169-146=23 (cm)
2. Determine the group distance and number of groups:
Group this set of data and determine the distance between the two endpoints of each group.
Number of groups = maximum value - minimum value / group distance = 23/3
Number of groups: The number of groups divided into is called the number of groups.
Group distance: The difference between the two endpoints of each group is called the group distance.
General methods for determining the number of groups and group spacing:
The more data you have, the more groups you get.
If the total number of data is n,
When n≤50, it is divided into 5 ~ 8 groups;
When 50≤n≤100, it is divided into 8 ~ 12 groups;
The key to a column frequency distribution table is grouping. Divide the data to be counted into several groups. There are no strict standards for grouping. It often needs to be decided based on the significance of the actual problem and experience.
For example, when analyzing students' scores, they are often divided into groups by 10; when analyzing the distribution of student heights, they are often grouped into groups by 5cm. The number of groups should be appropriate, not too many and not too few. 40 to 100 data is often used. It is appropriate to divide them into groups of 7 to 10.
The height of each rectangle represents the frequency of the corresponding group.
Features of histogram:
1: Histogram can display the frequency distribution of each group
2. Easily display the differences in frequencies between groups.
summary:
1. The concept of histogram.
2. Characteristics of histogram.
3. Obtain information from the histogram.
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