"Histogram" data collection, organization and description PPT courseware 4

Description

"Histogram" data collection, organization and description PPT courseware 4

Learning objectives: Understand histograms, be able to draw histograms, and read the information contained in data from histograms.

Learning focus: Draw a histogram and read the information contained in the data from the histogram.

1. Create scenarios and organize data

In order to participate in the radio gymnastics competition between all grades in the school, the seventh grade students are going to select 40 students with similar heights from 63 students to participate in the competition. For this purpose, the heights (unit: cm) of these 63 students were collected as follows:

167 154 159 166 169 159 156 166 162

159 156 166 160 164 160 157 156 157

160 156 166 160 164 160 157 156 157

158 158 153 158 164 158 163 158 153

162 162 159 154 165 166 157 151 146

158 160 165 158 163 163 162 161 154

162 162 159 157 159 149 164 168 159

To select 40 students of similar heights to participate in the competition, how should we organize the data?

Steps to group and organize data:

(1) Calculate the difference between the maximum and minimum values.

Maximum value - minimum value = 172-149 = 23 (cm), which means the range of height is 23 cm.

2. Draw a frequency distribution histogram

Can you draw a graph to represent the frequency distribution?

You can draw a frequency distribution histogram, and you can visually see the frequency distribution from the frequency distribution histogram.

Steps to draw a frequency distribution histogram:

(1) The horizontal axis represents height, and the vertical axis represents the ratio of frequency to number of groups.

(2) Draw a frequency distribution histogram. It can be seen from the figure that the area of ​​the small rectangle = group distance × frequency / group distance = frequency. Therefore, the area of ​​the small rectangle represents the frequency of the data falling within each group.

(3) In equidistant grouping, since the area of ​​the small rectangle is the frequency of the group, when making a frequency distribution histogram, the height of the small rectangle can be completely replaced by the frequency.

Through the frequency distribution histogram, can you analyze the patterns of data distribution?

Can students summarize the steps for drawing a histogram?

step:

① Calculate the difference between the maximum and minimum values;

②Determine the group distance and number of groups;

③ Column frequency distribution table;

④ Use the horizontal axis to represent the data, the vertical axis to represent the frequency, and draw a frequency distribution histogram.

3. Summary

(1) Can you tell me the steps for drawing a histogram?

(2) What kind of data can a histogram describe?

(3) What statistical charts have we learned and what are their characteristics?

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Update Time: 2024-11-16

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 2 industry PPT template

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