In statistics when you're trying to find the mode what should we take as frequency of previous class if the modal class is the first class of the table?
Answers
Ate here is my answer if it is helpful please mark me brainlist
In statistics, an average is defined as the number that measures the central tendency of a given set of numbers. There are a number of different averages including but not limited to: mean, median, mode and range.
Mean
Mean is what most people commonly refer to as an average. The mean refers to the number you obtain when you sum up a given set of numbers and then divide this sum by the total number in the set. Mean is also referred to more correctly as arithmetic mean.
Given a set of n elements from a1 to an
The mean is found by adding up all the a's and then dividing by the total number, n
This can be generalized by the formula below:
Mean Example Problems
Example 1
Find the mean of the set of numbers below
Solution
The first step is to count how many numbers there are in the set, which we shall call n
The next step is to add up all the numbers in the set
The last step is to find the actual mean by dividing the sum by n
Mean can also be found for grouped data, but before we see an example on that, let us first define frequency.
Frequency in statistics means the same as in everyday use of the word. The frequency an element in a set refers to how many of that element there are in the set. The frequency can be from 0 to as many as possible. If you're told that the frequency an element a is 3, that means that there are 3 as in the set.
Example 2
Find the mean of the set of ages in the table below
Age (years) Frequency
10 0
11 8
12 3
13 2
14 7
Solution
The first step is to find the total number of ages, which we shall call n. Since it will be tedious to count all the ages, we can find n by adding up the frequencies:
Next we need to find the sum of all the ages. We can do this in two ways: we can add up each individual age, which will be a long and tedious process; or we can use the frequency to make things faster.
Since we know that the frequency represents how many of that particular age there are, we can just multiply each age by its frequency, and then add up all these products.
The last step is to find the mean by dividing the sum by n