Maths-

General

Easy

Question

# When 15 was subtracted from each of the seven observations the following number resulted : -3,0,-2,4,6,1,1. The mean of the distribution is

- 14
- 15
- 16
- 17

Hint:

### A frequency distribution table is a thorough representation of the arrangement of the raw data for a quantitative variable in statistics. This table displays the frequency distributions of different values of a variable. Here we have to find the mean of the distribution.

## The correct answer is: 16

### A frequency distribution table is a thorough representation of the arrangement of the raw data for a quantitative variable in statistics. This table displays the frequency distributions of different values of a variable. It is possible to create two frequency distribution tables, though:

- Irregular frequency distribution
- Constant frequency distribution (ii) (Grouped frequency distribution)

The sum of all observations divided by the total number of observations yields the arithmetic mean of a set of data.

The median of the data is the value of the middle observation after the data have been arranged in either ascending or descending order.

A data mode is a value that appears the most frequently in the provided data or the observation with the highest frequency.

Now we have the observations as:

15+(-3)=12

15+0=15

15+(-2)=13

15+4=19

15+6=21

15+1=16

15+1=16

So the mean will be:

So here we used the concept of frequency to solve the question. We also understood what is mean, mode and the median. An empirically established link exists between the mean, median, and mode in statistics. So the mean of the data found is 16.

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