Average calculation
Average calculation
N = the number of terms
S = the sum of the numbers in the set.
Average = S/N
For example
The marks of a student in five subjects are 96, 94, 92, 87, and 81, then what is the average score of the student?
N = 5
S = 96 + 94 + 92 + 87 + 81 = 450
A = 450/5 = 90.
Another type questions
1). There are 36 boys and 44 girls in a class. The average score of boys is 40 and girls are 35. Then what will be the average mark?
Total mark of 36 boys = 36 x 40 = 1440
Total mark of 44 girls = 35 x 44 = 1540
Total mark of 80 Students = 1440 + 1540 = 2980
Average mark of the class = (2980 / 80)
= 37.25
2). The average weight of 15 members in a football team is 24 kg when a new member included, the average weight increases by 2. What is the weight of the new member?
Total weight of 15 member = 24 x 15 = 360
Average after including a new member = 24 + 2 = 26
Total weight of 16 member = 26 x 16 = 416
Weight of the new member = Total weight of 16 member - Total weight of 15 member
= 416 - 360
= 56.
Shortcut tricks on boats and streams are one of the most important topics in exams. These are the formulas and examples on Boats and Streams (Cyclist and the wind or Swimmer and stream) questions. These examples will help you to better understand shortcut tricks on boats and streams questions.
There are multiple types of questions asked from these topics. The speed of the boat in still water and the speed of stream will give in questions, You have to find the time taken by boat to go upstream and downstream. .
The speed of the boat in up and down stream will give in question, you need to find the average speed of the boat.
The speed of boat to go up or down the stream will give in question, you need to find speed of boat in still water and speed of stream.
The time taken by boat to reach a place in up and downstream will given in question, you need to find the distance to the place.
LINE_F...
Suppose there are n people in the party. The first person shakes hand with the other (n-1) guests. The second guest shakes hand with the other (n-2) guests. this will continue until the (n-1) th guest shakes hand with the nth guest.
Total number of handshakes is (n-1) + (n-2).. + 3 + 2 + 1. .
= ((n-1)(n))/2 .
For example, 6 people in a party shake hand with other guests. So how many handshakes will be there?.
=((6-1)(6))/2.
=15.
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P - Principal, the sum of money lent or borrowed. .
R - Rate of interest: Annual interest, often expressed as a percentage. .
T - Time period for which the money is lent or borrowed. .
Simple Interest = Principal * Time * Rate of interest / 100 .
SI = 4000× 8% × 4 = 4000× 0.08 × 4.
= 1280. .
In compound interest , the principal amount with interest after the first time period becomes the part of principal for the next time period.
CI = [P (1 + R/100)^T] – P .
Total amount = [P (1 + R/100)^T] .
If time period is half-yearly, .
Amount = P[1 + (R/2)/100]^2T .
If time period is quarterly, .
Amount = P[1 + (R/4)/100...
