Math Tutoring: Averages

Home | Online Math Tutoring | 6th Grade Math Tutoring | Calculate Mean Median Mode and Range

Math is everywhere, from reading the clock in the morning to setting the alarm before bed! Our math tutors understand this and therefore guide their students towards a higher understanding of the new terminologies and strategies. With eTutorWorld’squalified expert math tutors, students learn math in innovative ways.

Grab the eTutorWorld advantage and help her to not only master these valuable skills but also have the confidence required to succeed in grade school and beyond. Let your child learn from our highly experienced math tutors for all grades 3 to 12.

The Study of Averages at eTutorWorld

The mean, median and mode are types of average.

Let’s work out the mode, median and mean of this set of numbers:

7, 9, 11, 5, 13, 5, 5, 3, 11


The mode is the value that appears most frequently.

To work out the mode:

1.Put the numbers in order from smallest to the greatest.
3, 5, 5, 5, 7, 9, 11, 11, 13

2.Look for the number that appears the most.

5 appears more than any other number.

So the mode value is 5.

It is possible to have more than one mode if there is more than one value than which appears the most. A data set can have one mode, more than one mode or no mode at all.


The median is the middle value.

To work out the median:

1.Put the numbers in order from smallest to the greatest.
3, 5, 5, 5,7, 9, 11, 11, 13

2.The number in the middle of the list is the median.
So the median value is 7.

If there are two middle values, the median is halfway between them. Work out the median for this set of numbers:

3, 5, 5, 5, 7, 8, 9, 11, 11, 13

There are two middle values 7 and 8.
The median is halfway between 7 and 8

Add 7 and 8 and divide by 2.


= 7.5

So the median is 7.5.


The mean is the average of the data set .Average is not always a whole number.

To find the mean add all the values and divide by the number of values.

To work out the mean:

1.Add up all the numbers.
7 + 9 + 11 + 5 + 13 + 5 + 5+ 3 + 11 = 69

2.Divide the answer by how many numbers there are.

There are 9 numbers.
69 ÷ 9 = 7.66
So the mean value is 7.66


The range is the difference between the biggest and the smallest number.

To work out the range:

1.Put the numbers in order from smallest to the greatest.
3, 5, 5 ,5,7, 9 ,11, 11 ,13

2.Subtract the smallest number 3 from the biggest number 13.
13 – 3 = 10
so the range of this data set of numbers is 10.

Check Point

  1.  What is the median of the following data set :
    62, 56, 55, 56, 48, 56, 50, 54, 58
  2. Kiara took 7 geography tests in one marking period. What is the range of her test scores?
    88, 73, 84, 92, 87, 75, 94
  3. Find the mean driving speed for 6 different cars on the same highway.
    77 mph,  59 mph,  71 mph,  54 mph, 50 mph, 55 mph
  4. A marathon race was completed by 6 participants. What was the median race time?
    2.7 hr ,9.3 hr,3.6 hr ,5.6 hr ,9.2 hr, 8.1 hr
  5. Find the mode of the following data set :
    55, 47, 38, 63, 56, 64, 44, 63, 39
Answer key
  1. Median= 56
  2. Range = 21
  3. The mean driving speed is 61 mph
  4. The median race time was 6.85 hr
  5. Mode = 63

Why learn with eTutorWorld ?

  • Meet your online expert tutor from the comfort of your home
  • Schedule sessions at your convenient date and time
  • Access recordings of sessions for a month from session date
  • Receive a personalized practice sheet after every tutoring session
  • Call/chat us on our 24 X 7 support (+1.269.763.4602) to resolve issues or ask questions
  • Experience the state-of-the-art technology by learning over LIVE tutoring sessions
  • Get a 30 day Money Back Guarantee on our online tutoring services

No credit card, nor any obligation to purchase.

Schedule your FREE TRIAL session to meet an expert LIVE tutor & get all the help you want.

Our Learning by Design methodology focuses exclusively on individual students.

Our expert tutors are specially trained to identify and diagnose the needs and skills of each student and plan future tutoring lessons accordingly.

Know more about our Personalised Online Tutoring  Packs.

Give Your Child The eTutorWorld Advantage

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. eTutorWorld provides the best K-12 Online Tutoring Services so you can learn from the comfort and safety of your home at an affordable cost.

Be it an exam, class test or a quiz, eTutorWorld’s Math, Science and English tutors are responsible for your academic progress. Meet your personal coach at your convenient day and time to get help for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. All our tutors are graduates and bring with them years of teaching experience to the tutoring lessons.

Our ‘Learning by Design’ methodology makes sure that each student is at the center of the teaching-learning process. All tutoring sessions start with a question to the student ‘What do you want to learn today?’ Hence, tutors diagnose your skills and recognize your requirements before the actual tutoring happens. Post every tutoring session, an individualized worksheet is emailed to the student to assimilate learned concepts. Regular formative assessments are used to evaluate a student’s understanding of the subject.

The state of the art technology used is stable, user friendly and safe. All you need is a computer or a tablet and an internet connection. The easy-to-use web conferencing software requires a one time download, using which the student can talk and chat to the tutor, annotate on an interactive shared whiteboard or even share documents, assignments or worksheets.

All tutoring sessions are recorded and made available for a month so you can review concepts taught.

Email or call our support team with any issues or questions – we are here for you 24X7.

Also, download free printable math and science worksheets in pdf format and solve SCAT and SSAT Practice Tests online. Sign up for a Free Trial Lesson Today!

Thousands have taken the eTutorWorld Advantage – what are you waiting for?

© 2020 eTutorWorld - Online Tutoring and Test Prep | All rights reserved

Stay Safe, Learn at Home from Personalized Online Tutors


Use Coupon

SAFE10 to save 10% on Learning Packs *

TEST20 to save 20% on Test Prep Worksheets


* Max. discount for learning packs is $50

You have Successfully Subscribed!