Mathematics Stack Exchange
Mathematics Stack Exchange

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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Grade 9/10 honours math question on averages

How do I find the greatest integer that could appear on a token when all the info I have is 55=(n-68/t-1) or 56=(n/t) and n=the numbers on all the tokens in the bag added up and t=the number of tokens in the bag. The equations are about average…
Zuzu
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Help putting this into a mathematical equation

I have a list of names like the following within group: Western Group 1 John = 2 Charlie = 3 Hatty = 7 Pete = 4 Western Group 2 Jane = 6 Peter = 5 Dave = 4 Lisa = 4 Eastern Group 1 Dae = 1 Awa = 1 Flad = 6 Daw = 3 Eastern Group 2 Feda…
user2437672
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Is it valid for a range to be given as an average?

I occasionally come across an article or study that gives an average in the form of a range (8.1 - 8.7). For example, literature covering shoe sizes might state the average shoe size for adult males to be 9-12. But if I take the mean of {7.7, 7.8,…
David Metcalfe
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To calculate the average speed in 2 trips

A question as below: A man initially travels 80 km at 32 km/hr and then the next 160 km at 40 km/hr. The average speed for the first 160 km of the tour is: A. 25 km/hr B. 34.2 km/hr C. 35.56 km/hr D. 40 km/hr E. 44.2 km/hr Here is how I…
Mark K
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Averaging Base-4 Percentages

I have 15 base-4 numbers (0-3) representing 0%, 33%, 66%, and 99% which I want to average. Is it a valid statement that if I convert the base-4 numbers to their associated % and find the average, that final average will represent the average-%?
pbhuter
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Weighted Averages with 2 Different % Variables

I'm trying to create weighted averages for 2 different variables, but am struggling with how to do the right calculation. Let's say I have the following, by Market Size / Penetration % / Market Share %, and then for each region you multiple the…
NuclearPenguins
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Is the average of rounding/flooring the same as rounding/flooring an average?

I'm strangely stuck on that one. If I take a set of a finite number of numbers (real numbers, let's be simple), would the average value of rounding/flooring ("take the before-dot part", ie floor(3.9) = 3) each number the same as rounding/flooring…
Xenos
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How know how min/hours in win per day

I didn't know if i can post this here but i want to know a mathematical formula: On a dryer there are 4 programs: A = We win 2min/cycle B = We win 3min/cycle C = We win 2min/cycle D = We win 16min/cycle We make 50 cycle per day. But the problem…
CBJul
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How can I calculate average from values with different measurement errors?

l1, l2, and l3 have the following values: l1 = 14.0 ± 0.05, l2 = 32.0 ± 0.05, l3 = 49.0 ± 0.05 These values are respectively 1/4, 3/4, and 5/4 of the wavelength of a stationary wave. So I have to calculate out the wavelength with some subtraction…
Yeongchan Jeon
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How can you calculate an average given a smaller and larger average?

Using the command uptime, I can find that the average number of processes using my Linux system over the past 1, 5, and 15 minutes is 1.55, 1.66, and 1.93 respectively. But I want to know what the average is over the last 10 minutes. How can I…
temporary_user_name
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Averaging equation?

Is there any name for following averaging equation and how does it work? $$ y_{i+1} = (1-\alpha)\times y_i + x_i $$ I'm using it to average a signal, but I'm not sure am I interpreting the results right.
gillian
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What is more accurate in my situation: Average of averages, or average of all

I know that these "averages" questions have been asked a lot already, however I still a not sure which would be better in my situation. I have a device that needs calibration, and gathers data over some time. In the end, the data used for…
user2065501
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Moving Averages (?) Question

I can't figure this out, Im building a basic formula and need some help Lets say I have three photos, each with a score Photo one: votesCount = 3 [9,8,7] Photo two: votesCount = 5 [9,8,1,6,7] Photo three: votesCount = 1 [4] I want to create a…
MattEm
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Why I do not need weighted average if the sum of weights equals 1?

I am a bit confused here: I have 10 tasks, each of which has a scale associated (importance) and a final score. The sum of scales is 100%. To get the overall score, I would expect to calculate a weighted average as individual tasks have different…
John V
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What are the correct terms for these different averages?

Five street vendors sell oranges. Four of them ask \$1 each, and one asks \$3. The first approach to a price average would be ( 1 + 1 + 1 + 1 + 3 ) / 5 = 1.4. The second approach, only considering unique prices, would be ( 1 + 3 ) / 2 = 2. What are…
Average Joe
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