Question

In: Statistics and Probability

List three areas of daily life in which you can think the mean,median or mode would...

List three areas of daily life in which you can think the mean,median or mode would be the best choice to describe an average and expalin why?

Solutions

Expert Solution

Answer)

Mean is the average of all the data

For example if you have 5 observations, 1, 2, 3, 4, 5

Then the average (mean) would.be (1+2+3+4+5)/5 = 3

That is sum of all the observations/number of observations

It is the most commonly used center of measure

For example it can be used to represent a student's grade

Suppose he scored, 80, 75, 77, 89, 92 in five subjects

So we can say that overall he scored (80+75+77+89+92)/2

= 82.6

Median-

It is the middlemost number of the arranged data

Arranged means arranged in ascending order

For example median of the data (1, 2, 3, 4, 5) is 3 (as it is the middlemost)

When we describe the salary of a certain area

We say median salary is $x

Here median is the best measure to tell about the center of the data

Mode-

It is the one which occurs most

For example in the data

1, 2, 2, 3, 4, 5

2 is mode, as it occured twice while rest of them occured only once

Now suppose, you want to determine the center of the data where there is a huge difference in between big numbers and small numners

And if you will use mean, then it would be near to the big number and small numbers would.be ignored

Here in this case we use mode

For example

Lets say in a town there are a lot of people working in a factory at low wages, but there are a very few owners who are earning a huge amount

Here in this case we can use mode to properly determine the center of the data


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