 Math »
 If the sum is 240 and average is 40, Find the number of quantities.
If the sum is 240 and average is 40, Find the number of quantities.
Calculate the number of quantities given a sum of 240 and an average of 40.
by Maivizhi A
Updated Mar 05, 2024
If the sum is 240 and average is 40, Find the number of quantities.
There are 6 quantities.
To find the number of quantities when the sum is 240 and the average is 40, you can use the formula:
Average = Sum / Number of quantities
Given that the sum is 240 and the average is 40:
40 = 240 / Number of quantities
Now, to find the number of quantities, you can rearrange the equation:
Number of quantities = 240 / 40
Number of quantities = 6
So, there are 6 quantities.
What is an Average in Mathematics?
In mathematics, an average refers to a measure that represents a central tendency of a set of numbers. There are several types of averages commonly used, including:

Arithmetic Mean: This is the most common type of average, calculated by summing all the numbers in a dataset and then dividing by the count of numbers. It is denoted by "μ" (mu) for a population and "x̄" (xbar) for a sample.
Formula :
Arithmetic Mean=Sum of all numbers / Count of numbers 
Median: The median is the middle value in a sorted list of numbers. If there is an even number of data points, the median is the average of the two middle numbers.

Mode: The mode is the number that appears most frequently in a dataset.

Weighted Mean: This is similar to the arithmetic mean, but each value is multiplied by a weight before being summed and divided. It's useful when some values contribute more to the average than others.

Geometric Mean: This is calculated by taking the nth root of the product of n numbers.

Harmonic Mean: This is the reciprocal of the arithmetic mean of the reciprocals of a set of numbers.
The choice of which average to use depends on the nature of the data and the specific context of the problem being addressed. Each type of average has its own strengths and weaknesses, and may be more appropriate in different situations
If the sum is 240 and average is 40, Find the number of quantities  FAQs
1. What does "Average" mean in Mathematics?
In mathematics, "Average" is a measure indicating the central tendency of a set of numbers. It's commonly calculated as the arithmetic mean, but other types like median, mode, weighted mean, geometric mean, or harmonic mean can also be used depending on the context.
2. What is Arithmetic Mean?
Arithmetic Mean is a type of average calculated by summing all numbers in a dataset and then dividing by the count of numbers. It's denoted by "μ" for a population and "x̄" for a sample.
3. How do you calculate Arithmetic Mean?
Arithmetic Mean is calculated by dividing the sum of all numbers by the count of numbers in the dataset.
Recent Updates
 Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevati...
 Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading...
 Aman’s salary is first increased by 25% and then decreased by 20%. The result is the ...
 P and S can complete a piece of work in 20 and 15 days respectively. They worked togeth...
 Each day that a library book is kept past its due date, a $0.30 fee is charged at midni...
 Teri goes shopping for some new clothes and then out to lunch with a friend. She spends...
 Two pipes A and B can fill a tank is 8 minutes and 14 minutes respectively. If both the...
 A and B stand at distinct points of a circular race track of length 135 m. They cycle a...
 The image of a candle flame placed at a distance of 30 cm from a mirror is formed on a ...
 In pea plants, Tall plant height is dominant over short plant height. If there are 200 ...
 A wall of length 10 m was to be built across an open ground. The height of the wall is ...
 A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Mr. ...
 In a forest 20% of Mushrooms are Red, 50% Brown and 30% White. A Red mushroom is poison...
 In a large population, 76% of the households own microwaves. A simple random sample of ...
 A bag contains 8 red marbles, 9 yellow marbles, 7 green marbles. How many additional re...