# Statistics Problems

Sub Topics
Statistics is the study of collection of data, interpretation analysis, research and outcome of the product in the market of a particular application. It involves the study of mean median mode and variance like how the data is behaving.

## How to Solve Statistics Problems

Find the mean of the following data:

 Class Interval Frequency 0 - 9 5 10 - 19 10 19 - 29 8 29 - 39 7 39 - 49 6

Solution: To find the mean of the above data  will first add up the  frequency of the given data

Total frequency (N) = 36.

Now let us consider the  midpoint of the above class interval.

 Mid Point Frequency FX 4.5 5 22.5 14.5 10 144 24 8 192 34 7 238 44 6 264 172.1

Formula: Mean = $\frac{ΣFX}{N}$

= $\frac{172.1}{36}$

= 4.78

## Solve Statistics Problems

Below you could see solved examples

### Solved Examples

Question 1: Find the Median for the data 3, 4, 5, 6, 7, 8, 9.
Solution:
The median is the separator of the date or the middle one

Here the median is 6.

Question 2: Find the mode of the sequence 10, 5, 8, 8, 8, 7, 5, 6, 1
Solution:
The mode in the un- grouped data is the data which is repeated the most.

The data which is repeated most here is 8 .

The modal value is 8.

## Practice Statistics Problems

We have given Few practice problems to solve

### Practice Problems

Question 1: Find the mean of the data 5, 7, 9.13, 15, 19, 20.
Question 2: Find the median of the data 5, 8, 9, 11, 14, 16, 18.
Question 3: For the data given in the problem 2 find the upper quartile deviation, lower quartile deviation, and variance.