STATISTICS

Statistics

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.

Video Examples: Statistics: The Average

Example of Statistics

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

Solved Example on Statistics

Ques: 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.3/8
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: example of Statistics [Substitute.]
Step 5: So, probability of getting two tails and one head is 3/8.

Quick Summary

Statistics involves collecting, organizing, and interpreting data.
It's used to infer properties of a large dataset from a sample.
Common averages used are mean, median, and mode.

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🍎 Teacher Insights

Use real-world examples and interactive activities to engage students. Emphasize the importance of data collection and interpretation in various fields.

🎓 Prerequisites

Basic arithmetic
Understanding of data representation

Check Your Knowledge

Q1: What is the purpose of statistics?

To confuse people with numbers To collect, organize, and interpret data To make graphs To avoid math

Q2: Which of the following is NOT a common type of average?

Mean Median Mode Range

Frequently Asked Questions

Q: What are the three common types of averages?
A: The three common types of averages are mean, median, and mode.

Q: Why is statistics important?
A: Statistics helps us understand and interpret data, allowing us to make informed decisions and predictions.