"Representation of Data" Data Collection and Organization PPT Courseware (Lesson 2)

Description

"Representation of Data" Data Collection and Organization PPT Courseware (Lesson 2)

Part One: Learning Objectives

1. Understand the steps of making a frequency histogram and be able to draw a frequency histogram. (Difficulty)

2. Able to obtain relevant information from frequency distribution tables and frequency histograms and make reasonable judgments and predictions. (Key points)

Data Representation PPT, Part 2 Content: Teaching New Lessons

Represent data using frequency histograms

collaborative inquiry

(1) Can you use appropriate statistical charts to represent the English scores of the students in this class when they entered school? From your chart, can you tell which level most students are at? What is the overall distribution of grades?

(2) By analogy with the previous question, can you use appropriate statistical charts to represent the Chinese scores of the students in this class when they entered school? From your chart, can you tell which score range most students fall into? What is the overall distribution of grades?

Thinking: Xiao Ming thinks the above method is very complicated. Can you help him improve it?

Discuss

What are the differences and connections between bar graphs and frequency histograms?

(1) Connection - the purpose is to visually represent specific quantities. The frequency histogram is a special bar chart.

(2) Difference - a bar chart visually displays specific data; a frequency histogram shows the distribution of frequencies.

(3) The drawing forms are different - the bars of the bar chart are separated; the bars of the frequency histogram are connected together.

Analysis of classic examples

Example 1 A student club from a certain school participated in a mathematics practice activity and used a mobile speedometer to monitor the speed (km/h) of a group of cars passing by at the entrance of Jinshan Avenue with the traffic police. During the process of data compilation and statistical drawing of frequency histograms, Be careful of ink contaminating some of the data in the table (see the table below). Please answer the questions based on the incomplete frequency distribution table and frequency histogram below: (Note: 50 to 60 means the speed is greater than or equal to 50 kilometers per hour and less than 60 kilometers per hour. meters/hour, other similar)

(1) Please use the mathematical statistics knowledge you have learned to complete the frequency histogram;

(2) If the speed of a car here is not less than 80 kilometers per hour, it is a violation. Find the violation frequency of this group of cars;

(3) If you are asked to draw a sector statistical chart based on the survey data, then the degree of the sector central angle corresponding to the number of vehicles with speeds in the range of 70 to 80 km/h is _________.

Data representation PPT, the third part: practice in class

1. In the frequency distribution table, the sum of the frequencies of each group ()

A. Less than the total number of data B. equal to the total number of data

C． Greater than the total number of data D. Can not be sure

2. As shown in the figure is a frequency histogram of the donation amount of 45 students in a certain class (each group includes the previous boundary value, but does not include the latter boundary value), then the group with the largest number of donations is ()

A. 5 to 10 yuan B. 10-15 yuan

C． 15-20 yuan D． 20-25 yuan

3. A sample has 100 data, the maximum value is 7.4, and the minimum value is 4.0. If the group distance is 0.3, then this group of data can be divided into ()

A.11 Group B. 12 groups

C.13 group D． None of the above answers are correct

Data Representation PPT, Part 4: Class Summary

Represent data using frequency histograms

Get information from bar chart

Get information from frequency histogram

Make a frequency histogram

1. The difference between the maximum value and the minimum value

2. Determine the number and spacing of groups and group them

3. Count the frequency of data in each group

4. Draw a frequency histogram

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For more information about the PPT courseware "Data Collection and Organizing Data Representation", please click the Data Collection and Organizing PPT Data Representation PPT tab.

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Update Time: 2024-07-12

This template belongs to Mathematics courseware Beijing Normal University Edition Seventh Grade Mathematics Volume 1 industry PPT template

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