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"Average" Data Analysis PPT Courseware 2
diagnostic exercises
1. The scores of 8 students in a math test are 80, 82, 69, 74, 78, x, 81. The average of this group of numbers is 77, then the value of x is ()
A. 76 B. 75 C. 74 D. 73
2. A school’s inspection of the classroom hygiene conditions of each class includes the following items: blackboards, doors and windows, tables and chairs, and floors.
On one day, the health scores of the three classes are as follows:
Xiao Ming calculates the hygiene scores of each class according to the ratio of 15%, 10%, 35%, and 40% for the four scores of blackboard, doors, windows, tables and chairs, and floor. So which class has the highest score?
The meaning of weighted average:
In practical problems, the "importance" of each data in a set of data may not be the same. Therefore, when calculating the average of this set of data, each data is often given a "weight".
Can you talk about the connection and difference between the arithmetic mean and the weighted average?
(1) The arithmetic mean is a special case in which the weights of all items in the weighted average are equal, that is, the arithmetic mean is the weighted average, but the weighted average is not necessarily the arithmetic mean;
(2) Due to different weights, the average results are different, so the weights determine the average results.
There are 46 students in the eighth grade class. The average height of the students is 1.58 meters. Xiao Ming is 1.59 meters tall. However, Xiao Ming said that his height is below the average in the class. There are 25 students in the class who are taller than him and 20 His classmates are shorter than him, is this possible?
In a set of data, 2 appears 2 times, 3 appears 3 times, 4 appears 4 times, and 5 appears once, then the average of this set of data is _______.
If a person hits the target in the first 3 times with 9 rings each time, and in the next 7 times with 7 rings each time, his average shooting score is _______.
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