Question

2. Explain the types of averages​

Answer 1

Answer:

An average is a value representing a group of data. The common averages are the mean, median and mode.

Mean

Mean is the most common, we know the average, comparing the summary of values. It is the sum of all the numbers divided by the number of addends or respondents.

Example: 

The scores of ten students are 82, 85, 79, 78, 89, 87, 88, 89, 75, and 77. What is the mean?

Mean =(sum of all numbers ) / (number of respondents)

Mean = (82 + 85 + 79 + 78 + 89 + 87 + 88 + 89 + 75 + 77 ) / 10

Mean =( 829) / 10

Mean = 82.9 are 83

82.9 or 83 is the average. It can be in decimal or as a whole number.

Median

The median is the value of the middle term when data are arranged. It can be in ascending or descending order. In computing the median, remember the following:

a. Arrange the number in numerical order.

b. If the items are an odd number, the median is in the middle. 

c. If the items are an even number, compute the central number.

Median with the odd number

Example:

The number of books students borrowed each day are 63, 31, 42, 54 and 50.

a. Arrange the following 31, 42, 50, 54, 63.

b. The number of items is odd because there are 5 items. The median is 50.

Median with an even number

Example:

The scores of ten students are 82, 85, 79, 78, 89, 87, 88, 89, 75 and 77. What is the median?

a. Arrange the following 75, 77, 78, 79, 82, 85, 87, 88, 89, 89

b. There are 10 students. The middle terms are 82 and 85. To compute for the median

Median =(82 + 85) / 2 = 33.5

Mode

The mode is referred to as the most frequent numbers that occur in the set of data. It requires no calculation to determine the value.

Example:

The scores of ten students are 82, 85, 79, 78, 89, 87, 88, 89, 75, and 77. What is the mode?

The mode is 89.

The range is described to be the difference between the highest and lowest numbers. To calculate the range, find the lowest and highest numbers, then subtract.

Example:

89 – 75 = 14

Therefore, the range is 14.

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Answer 2

There are the three types of averages:

1.mean

2.median

3.mode

We use averages because they are useful for comparing different quantities of the same category.

The mean is the center of gravity of your data.