Ayush Agarwal Maths

                              Statistics  Meaning-  Statistics means numerical presentation of facts. Statistics is the science of collecting, classifying or organising, interpreting numerical facts(data) from the logical analysis.  Use of Statistics in Education 1. It helps the teacher to provide the accurate description of the child.  2. It enables the teacher to extract general conclusions.  3. Statistics forms the basis of scientific approach to problems of Educational Psychology. 4. It proves useful in number of fields viz. railways, Banks, Army etc.   Collection  - Data collection is a process of gathering information from all the relevant sources to find a solution of the problem.  Sources of collecting of data :- 1. Primary data - Directly from field or experiment. 2. Secondary data -Obtained from pre saved data or review.      Methods of Collection of data 1. Direct personal investigation 2. Observation method 3. Interview method 4. Information through Questionnai

Percentage -   According to mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted by using the percent sign, "%" .  Percentage formula -  Percentage = (Obtained marks/Total                                marks)×100 Example :-  3/5 ×100 = 0.60×100 = 60% =                                  60percent About Percentage - 1. 10% is equal to 1/10 fraction 2.  20% is equivalent to ⅕ fraction 3.  25% is equivalent to ¼ fraction 4.  50% is equivalent to ½ fraction 5.  75% is equivalent to ¾ fraction 6.  90% is equivalent to 9/10 fraction Points to remember :- 1. A percentage is a dimensionless number, it has no unit of measurement.  Practice Questions - Q1.   Convert as a fraction and as a decimal :   40% Q2. Express the ratio 4:5 as a percentage. Q3. Find 30% of ₹800. Q4. If 10% of a number is 45, then find the number? Thank you for visiting  Keep sharing  Join us now :-  Instagram

Compound Interest - compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. Applications of Compound Interest  1. In increase or decrease in population.  2. The growth of bacteria when the rate of growth is known.  3. Depreciation in the values of machines.  Important Facts :  1. When time is given in days, we convert it to year by dividing it by 365. 2. When time is given in months, we convert it to year by dividing it by 12. 3. When dates are given, the day on which the sum is borrowed is not included but the day on which money is returned is included, while counting the number of days. Remark - negative sign of rate indicates the depreciation.  Practice Questions  1.Find the compound interest on ₹ 5000 at 8% per annum for 2 years, compounded annually?  2.Find the amount of ₹18000 for 3 years, compounded annually at 10% per annum. Also, find the compound interest.  3.The compound interest on Rs. 30,000 at 7% pe

Simple interest -  Simple interest  is  interest  calculated on the principal portion of a loan  to a savings account.

Direct proportion - Two quantities x and y are said to be in direct proportion if whenever the value of x increases or decreases, then the value of y increases or decreases in such a way that the ratio x/y remains constant.