**Definition of Statistics**

- Statistics is a branch of applied mathematics concerned with collecting, organizing, and interpreting data. The data are represented by means of graphs.
- Statistics is also the mathematical study of the likelihood and probability of events occurring based on known quantitative data or a collection of data.
- Statistics, thus attempts to infer the properties of a large collection of data from inspection of a sample of the collection thereby allowing educated guesses to be made with a minimum of expense.
- There are basically three kinds of averages commonly used in statistics. They are: mean, median, and mode.

**Example on Statistics**

- A survey was conducted to find the favorite fruit of 100 people. The circle graph below shows the results of the survey.

**Solved Example on Statistics**

What is the probability of getting two tails and one head, when 3 coins are tossed at a time?

Choices:

A. 13

B. 14

C.

D. 17

Correct Answer: C

Solution:

Step 1:Number of possible outcomes when one coin is tossed = 2. [Outcomes are Head(H) and Tail(T).]

Step 2:The possible outcomes, when 3 coins are tossed are {TTT, THT, TTH, THH, HHT, HTH, HTT, HHH}.

Step 3:Number of favorable outcomes = 3 [Favorable outcomes are THT, TTH, HTT.]

Step 4:[Substitute.]

Step 5:So, probability of getting two tails and one head is .

**Related terms for Statistics **

- Data
- Graph
- Mean
- Median
- Mode
- Standard Deviation
- Range
- Probability
- Sample
- Population