"Representation of Data" Data Analysis PPT Courseware

Description

"Representation of Data" Data Analysis PPT Courseware

Definition: In a set of data, the data that appears most often is called the mode of this set of data.

Note: (1) The mode is the data that appears most frequently in a set of data. It is the original data in a set of data, not the corresponding number.

(2) Sometimes there is more than one mode in a set of data. For example, in the data 2, 3, -1, 2, 1, and 3, both 2 and 3 appear twice. They are both the modes of this set of data.

practice

1) In an English oral test, the scores of 10 students are as follows:

70 80 100 60 80 70 90 50 80 70

Find the mode of the students' scores in this English speaking test.

2) Find the mode of each set of data below:

a. 3 4 3 2 4 5 5 5 4 4 1

b. 1.0 1.1 1.0 0.9 0.8 1.2 1.0 0.9 1.1 0.9

Definition: Arrange a set of data in order of size, and call the middle data (or the average of the two middle data) the median of this set of data.

Discuss: (1) Which data do you think is more appropriate to represent the “average level” of employee income in the company?

(2) Why is the average employee income of this company much higher than the median?

Practice in class

1. In a mathematics competition, the scores of 5 students from low to high are 55 57 61 62 98. So, what is their median?

2. 10 workers produce the same part on a certain day. The number of pieces produced is 15 17 14 10 15 19 17 16 14 12. Find the median of the parts produced by 10 workers on this day.

Do it

1. What are the average, median and mode of the heights of the Shanghai Oriental Sharks basketball team players in the 2002-2001 season?

2. (1) What are the mean, median and mode of the sneaker sizes worn by all the male students in the class you surveyed before class?

(2) If you were a school store owner, which size of men's sports shoes should you stock?

The relationship and difference between mean, median and mode

Connections: They describe the central tendency of a set of data from different perspectives.

Difference: When calculating the average, all data participates in the calculation. It can make full use of the information provided by the data, but it is easily affected by extreme values. It is the most widely used.

The advantage of the median is that it is simple to calculate and only depends on its position in the data. But not all data information can be fully utilized.

The mode is only related to the number of times it is repeated in the data, and is often not unique. However, all data information cannot be fully utilized, and when the number of repetitions of each data is approximately equal, the mode often has no special meaning.

think about it

1. Four classes in the third grade of a school participated in tree planting activities. It is known that the number of trees planted by the four classes on the same day were 50, 50, 40, x respectively. If the mode and mean of this set of data are exactly equal, then this What is the median of the group data?

2. A gymnastics competition is held in a certain place, and 7 judges rate the athletes on the spot. It is known that the 7 judges rated an athlete as follows:

Please use the statistical knowledge you have learned to give the athlete's final score from different angles. (accurate to 0.01)

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Update Time: 2024-11-22

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

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