Mathematics Stack Exchange
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Questions tagged [average]

Averages summarise a set of values in one way or another. Without further qualification it most commonly refers to the arithmetic mean, but other averages such as root-mean-square exist.

In its most general definition, an average is a summary of a set of values. Normally it refers to the arithmetic mean, but other means may be employed (geometric, harmonic, etc.) or a transformation may be applied before and after taking a mean (e.g. root-mean-square).

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Calculating a new average without having the full set of no.s

Say we have the below data: 100 120 80 110 The average of these is 84.5 Is there any way, I can store some data from this original data and calculate new average when a new no. is added? For example, now a new no. 100 is added. Now if I know the…
esafwan
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weighted average

I'm not sure the correct term for my problem is weighted average. But let me explain. I've conducted a survey where participants answer on a scale betweeen $1$ and $7$. The questions fall into three categories. In category one & two there are $12$…
JacobJuul
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Explain Why This Average of Averages Is Incorrect

Five properties are sold at varying prices and number of square feet. SQ FT PRICE Price/Sq Ft 1635 $630000 $385.32 2045 $675000 $330.07 1900 $685000 $360.53 2045 $700000 $342.30 2305 $715000 …
TVC15
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Type of average that weighs larger numbers more?

I'm spreadsheeting my favorite albums and I'd like the good tracks on the album to count more for its average than the bad songs. I thought about geometric means, but those do the opposite of what I want. Is my best course of action to raise each…
Alec
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Retiree math: Calculate how many of a specific value needed to move current average to desired specific value (boondocking)

Apologies in advance if I am in the wrong place to ask this question. Your suggestions for a more appropriate place to seek assistance are welcomed. Googling and searching the forum has not yielded any answers that seem to fit. I know my way around…
GoneSilver
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How to fairly do tip pooling with uneven proportions of contributions?

Imagine a restaurant where the servers each have shifts of the same length and pool the same proportion of their tips (e.g. 50%). It's easy to calculate how much each server should receive from the pool at the end of the shift. You divide the pool…
Shaun Gallagher
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Average relative to quantity

Not really sure how to ask my question. I have a list of average transaction wait times which are averaged over the count of the transactions for each zone, as shown in the list below which is sorted by the avg wait highest to lowest. When I look at…
Nelda.techspiress
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How do I calculate weighted mean with negative weights?

This might be very trivial for you guys. If : I buy 2 oranges for 5 dollars each then I buy 3 oranges for 6 dollars each and then I sell 3 oranges for 4 dollars each How do I calculate the average price of an orange ? thanks. Edit 1 I will…
Bick
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What is the mistake in this approach to find the average

The captain of a Football team of 11 members is 26 years old and the GoalKeeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the…
UserMathBeginner
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What Formula can I use to calculate the average of these weighted percentages?

Let's say I run a random generator to give me a number of apples when a number hits 0 in a certain range from 0 to 100 based on the percentages below. 50% for 1, 40% for 2, 7% for 3, 2% for 4 and only 1% to get 5 My question is what is the overall…
Axonn
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Calculating average customer turnover

I am currently coding a script which displays data for a company intranet. I am stuck with a question that seemed pretty simple, but turned out to give me headaches. We have the following scenario: Store A has 70 male customers and 100 female…
George
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Finding an average of an average?

...or midpoint of a midpoint if you will. I have 2 values: 3.64 and 2.18. I would like to find the value that's 1/4 of the way to 3.64. (as you can tell I'm not very proficient in math) So far what I've come up with is:…
J. Doerty
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Problem with calculating average.

I came across the following question. A man travels a distance of $20$ miles at $60$ miles/hr and then return over the same route at $40$ miles/hr. What is the average rate for the round trip in miles per hour The way I see it is $(60+40)/2 = 50$…
Rajeshwar
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Average difference between consecutive data

I have in my head a very simple concept, but it's difficult to search for. I feel like there must be a function for this in statistics, but I have no idea what to look for. I have a 1 dimensional data set, a simple column of numbers. Let's say…
Ian
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Average of a list of numbers, read one at a time

I have a dilemma Lets take the set $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$ If we wanted to calculate the average of this set we would add up all the numbers in the set $(45)$ and then divide by the total number of items in the set $(9)$ and arrive at the…
Parad0x13
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