how to find the mean median mode

statistics to find mean ,median mode

math.stackexchange.com › questions › 595484 › statistics-to-find-mean-median-mode

What we have are various values:

$\text{[math]}$

and their corresponding frequencies (how many times each of those values $\text{[math]}$ occurs):

$\text{[math]}$

We can write this relationship as ordered pairs $\text{[math]}$

That means there are $\text{[math]}$ individuals/scores in the population.

So, to compute the mean, you need to multiply each value $\text{[math]}$ by its corresponding frequency $\text{[math]}$ , and then sum all the $\text{[math]}$ , then divide by $\text{[math]}$ .

To find the median, you simply need to use the frequencies, $\text{[math]}$ to determine where half of the population/scores is at/below, and the other half at/above, and then find the corresponding value $\text{[math]}$ . For example, in this case, the median value is given by $\text{[math]}$ .

The mode is the most commonly occurring value: here, there are $\text{[math]}$ occurrences of the value $\text{[math]}$ , more occurrences of that value than any other value. So mode is given by $\text{[math]}$ .

Now for the last two questions: how many individuals in the population of $\text{[math]}$ scored $\text{[math]}$ or $\text{[math]}$ ? Sum the corresponding frequencies, divide by $\text{[math]}$ and multiply by $\text{[math]}$ .

How many individuals scored $\text{[math]}$ or $\text{[math]}$ ? Sum the corresponding frequencies, and divide the sum by $\text{[math]}$ , then multiply by $\text{[math]}$ to obtain the percentage.

Your last two percentages should add to $\text{[math]}$ .

Answer from amWhy on Stack Exchange

Indeed

indeed.com › career guide › career development › how to find the mean, median and mode of a data set

How To Find the Mean, Median and Mode of a Data Set | Indeed.com

May 23, 2023 - If there are two numbers in the middle, the median is the average of the two. The mode is the most common number in a data set. Count how many times each number occurs in the data set and find the one with the highest tally—that's the mode.

Free Math Help Forum

freemathhelp.com › forums › free math help › probability / statistics

I need help finding the mode, median and mean of this frequency table | Free Math Help Forum

August 23, 2020 - In the data list you need to find the middle number. For example, in 90-94 the middle number (or average) is 92. So you find the mean, mode, median using 92. Now to find the mean you add up all the numbers and divide by the number of numbers.

Discussions

how do I calculate the mean, mode, median and the variance from a table and histogram? [intro to statistics| university level]

Did you find mode, median, and variance? When it just asks for the mean 99% of the time it means "average" More on reddit.com

r/learnmath

March 27, 2025

statistics to find mean ,median mode - Mathematics Stack Exchange

Connect and share knowledge within a single location that is structured and easy to search. Learn more about Teams ... for the frequency distribution given below $v=-\dfrac16,-\dfrac14 ,0,\dfrac12,\dfrac13$ $f= 12, 16, 21, 8, 27$ find mean ,median mode what percent of the population is non ... More on math.stackexchange.com

math.stackexchange.com

December 6, 2013

Why is median used over mode

Mode is the value that appears the most number of times. Why would you choose that as a representative income? For example, knowing the income half of the population is under can give you a very good idea of how rich or poor the general population is (and the result is unaffected by extremely rich individuals). Knowing which exact income occurs most often in the population tells you... what exactly? More on reddit.com

r/math

October 28, 2023

When is it best to use the mean, mode, and/or median when asked for the average?

Everyone is saying the mean but it largely depend on your data. If your data is symmetrical and has no real outliers then using the mean is your best bet. If your data is skewed and has outliers then the mean wont be accurate, you should use the median in this case. More on reddit.com

r/HomeworkHelp

January 30, 2019

Videos

00:23

YouTube

Mean median mode range - YouTube

January 29, 2023

00:34

YouTube

Mean median mode range even amount of numbers - YouTube

Mean, Median, Mode, and Range | Math with Mr. J - YouTube

September 15, 2021

759K

YouTube

Mean, Median, Mode & Range – Everything You Need to Know! - YouTube

March 2, 2025

youtube.com

Introduction of Statistics - Mean, Median, Mode, and Range ...

11:04

YouTube

Math Antics - Mean, Median and Mode - YouTube

quora.com › What-are-the-methods-for-calculating-mean-median-mode-and-range-in-statistics

What are the methods for calculating mean, median, mode, and range in statistics? - Quora

Answer: (1) Mean:-The mean is the total of the numbers divided by how many numbers there are. To find the mean, add all the numbers together then divide by the number of numbers. 6 + 3 + 100 + 3 + 13 125 125 ÷ 5 = 25 The mean is 25.

GeeksforGeeks

geeksforgeeks.org › mathematics › mean-median-mode

Mean, Median and Mode | Definition & Formula with Examples - GeeksforGeeks

06:25

Mean is the sum of all the values in the data set divided by the number of values in the data set. It is also called the Arithmetic Average. The Mean is denoted as x̅. The formula to calculate the mean is: Mean (x̅) = Σxi/ n

Published 2 weeks ago

reddit.com › r/learnmath › how do i calculate the mean, mode, median and the variance from a table and histogram? [intro to statistics| university level]

r/learnmath on Reddit: how do I calculate the mean, mode, median and the variance from a table and histogram? [intro to statistics| university level]

March 27, 2025 -

hello kind people of reddit.

I was given the following question(well the shortened version)

out of a semple size of 100 watermellon a researche derived the following table:

number of watermellons	mass in Kg
30	3-5
25	5-6
20	6-7
15	7-8
10	8-10

a. create a histogram for the given table.

b. calculate the mean, mode, median and the variance of the watermellon's mass

c. Tom and Jon both bought watermellons. Tom's watermellon is in the 60 precentile and Jon's watermellon has a standard score of 0.6. who bought a heavier watermellon? (show calculations)

d. the price of a watermellon consists of a set price of one dollar + 0.8 dollars more for each kilogram. what is the mean and variance of a watermellon's price?

e. later in the research 150 more random watermellons were samppled. the mean of their mass is 6.1Kg with a variance of 3.09Kg². find the mean and variance of all 250 watermellons.

my problem is lack of fundumental understanding. I tried to open my books and self study but the material is disorgenized and drowned by pages of I dont even know what but its completly unreadable.

if anyone could help or share some sort of resorce for self study I would greatly appreciate it.

I am stuck at section b because I cant figure out what type of mean am I supposed to use here.

thank you all.

Top answer

1 of 1

What we have are various values:

$\text{[math]}$

and their corresponding frequencies (how many times each of those values $\text{[math]}$ occurs):

$\text{[math]}$

We can write this relationship as ordered pairs $\text{[math]}$

That means there are $\text{[math]}$ individuals/scores in the population.

So, to compute the mean, you need to multiply each value $\text{[math]}$ by its corresponding frequency $\text{[math]}$ , and then sum all the $\text{[math]}$ , then divide by $\text{[math]}$ .

How many individuals scored $\text{[math]}$ or $\text{[math]}$ ? Sum the corresponding frequencies, and divide the sum by $\text{[math]}$ , then multiply by $\text{[math]}$ to obtain the percentage.

Your last two percentages should add to $\text{[math]}$ .

Prodigy Game

prodigygame.com › main-en › blog › how-to-find-mean-median-mode

How to Find Mean, Median & Mode in 3 Easy Steps | Prodigy

The easiest way to find the mode is to organize the data values in an ascending or descending order. Organizing the data in this way will also help you see any outliers. In our data set, 2, 7, 9, 12, 13, 13 and 21, there is only one value that ...

Statistics How To

statisticshowto.com › home › probability and statistics topics index › statistics definitions in plain english with examples › mean median mode: what they are, how to find them

Mean Median Mode: What They Are, How to Find Them - Statistics How To

August 26, 2024 - In order to do this mathematically, add the two numbers together and divide by 2. Tip: You can have more than one mode. For example, the three modes of 1, 1, 5, 5, 6, 6 are 1, 5, and 6. In order to find the SPSS mean mode median, you’ll need ...

CalculatorSoup

calculatorsoup.com › calculators › statistics › mean-median-mode.php

Mean, Median, Mode Calculator

November 4, 2025 - If there are 2 numbers in the middle, the median is the average of those 2 numbers. The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set.

Verywell Mind

verywellmind.com › how-to-identify-and-calculate-the-mean-median-or-mode-2795785

How to Find the Mean, Median, and Mode

1 month ago - The mean is found by adding all numbers together and dividing by how many numbers there are. The median is the middle number in a list sorted from smallest to largest or the average of the two middle numbers if the list has an even number of scores.

Calculator.net

calculator.net › home › math › mean, median, mode, range calculator

Mean, Median, Mode, Range Calculator

This calculator determines the mean, median, mode, and range of a given data set. Also, learn more about these statistical values and when each should be used.

Khan Academy

khanacademy.org › math › statistics-probability › summarizing-quantitative-data › mean-median-basics › a › mean-median-and-mode-review

Mean, median, and mode review (article)

We cannot provide a description for this page right now

Purplemath

purplemath.com › modules › meanmode.htm

Mean, median, and mode: they're ALL averages...? | Purplemath

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. To find the median, your numbers have to be listed in numerical ...

TechTarget

techtarget.com › searchdatacenter › definition › statistical-mean-median-mode-and-range

What are Mean, Median, Mode and Range?

01:54

For example, if the rack had a sixth server that used 110 W, the new number set would be 90 W, 98 W, 100 W, 102 W, 105 W and 110 W. Find the median by averaging the two middle numbers: (100 + 102)/2 = 101 W. Mode helps identify the most common ...

Published October 9, 2025

Laerd Statistics

statistics.laerd.com › statistical-guides › measures-central-tendency-mean-mode-median.php

Mean, Mode and Median - Measures of Central Tendency - When to use with Different Types of Variable and Skewed Distributions | Laerd Statistics

A guide to the mean, median and mode and which of these measures of central tendency you should use for different types of variable and with skewed distributions.

W3Schools

w3schools.com › python › python_ml_mean_median_mode.asp

Python Machine Learning - Mean Median Mode

The mean value is the average value. To calculate the mean, find the sum of all values, and divide the sum by the number of values: (99+86+87+88+111+86+103+87+94+78+77+85+86) / 13 = 89.77 ·

Twinkl

twinkl.com › teaching-wiki › mean-median-mode-and-range

Mean, Median, Mode, and Range | Definitions & Guide

Twinkl's Teaching Wiki gives explanations of common terms and key vocabulary used in teaching, and shows related Twinkl resources for each term.

BBC

bbc.co.uk › bitesize › articles › zj6nb7h

Mean, median, mode, range - BBC Bitesize

September 23, 2025 - To calculate the mean, add the values together and divide the total by the number of values., medianclosemedianA type of average calculated by finding the middle value of a set of numbers in ascending order.