(628)-272-0788 info@etutorworld.com
Select Page

# Math Tutoring: Averages

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 toward 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 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 6th-grade math tutors.

### Schedule a Free session to clear worksheet doubts

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

## 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

#### Mode

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.

#### Median

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.

#### Mean

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:

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

#### Range

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
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

## Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE Demo Session.

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

## Pricing for Online Tutoring

5 sessions1 Month$139 1 session1 Month$28
10 sessions3 months$269 15 sessions3 months$399
20 sessions4 months$499 50 sessions6 months$1189
100 sessions12 months\$2249

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.