"Median" PPT courseware

Description

"Median" PPT courseware

learning target

1. Through specific examples, understand the concept of median and be able to find the median of a set of data.

2. Understand that the median can be used to describe the concentration and general level of data,

3. Experience the statistical activities of data sorting, analysis and inference to draw conclusions, and experience the basic process of data processing.

Observe and think

The heights of a group of boys are (cm)

164, 172, 178, 170, 168, 169, 171

Think about the following questions and discuss them with your classmates

⑴Count, what is the number of data?

⑵ Can you rank their heights from shortest to tallest? Which one is in the middle? From high to low?

(3) Add a boy with a height of 173cm, what is the number of this set of data? What is the data in the middle in order from low to high? From high to low?

Median definition:

After arranging a set of data in order of size, the data in the middle is called the median of the set of data.

Application:Quick Answer:

Find the median of each set of data below.

(1) 2 4 5 4 3

Median: 4

(2) 10 28 15 2 7 12

Median: 11

If the data contains an odd number, the number in the middle is the median;

If the data contains an even number, the average of the two middle numbers is the median.

In the two questions above, 170cm and 170.5cm are respectively in the middle of the arranged data, so we can use 170cm and 170.5cm to represent the general heights of these two groups of boys respectively.

It can be seen that in a set of data arranged in order of size, because the median position is in the middle, it can reflect the central tendency and general level of this set of data. Therefore, the median is usually used as this set of data. representative.

Talk about harvest

1. What knowledge have you learned?

2. What mathematical ideas are used?

3. What are your experiences and thoughts?

Compliance testing

1. Among the following statements:

(1) There is only one median in a set of data.

(2) The median in a set of data may or may not be one in this set of data.

(3) In a set of data, the number of data greater than the median is equal to the number of data less than the median.

The correct statement is ____________.

2. It is known that the average of data 1, x, 2 is 3, then X=—— in this set of data, the median is ______.

3. A set of data is arranged in order from small to large: 13, 14, 19, x, 23, 27, 28, 31. The median is 22, then x is _______.

give it a try

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

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

3. A set of data is arranged in order from small to large: 13, 14, 19, x, 23, 27, 28, 31. The median is 22, then x is _______.

Method summary

How to determine the median of a set of data?

Step 1: Sort from large to small or small to large.

Step 2: Check whether the number of data is odd or even.

When n is an odd number, the median is the n+1/2th data

When n is an even number, the median is the average of the n/2th and (n/2+1)th data.

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"Median and Mode" PPT Courseware 2:

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Update Time: 2024-07-04

This template belongs to Mathematics courseware Qingdao Edition Eighth Grade Mathematics Volume 1 industry PPT template

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