# Math Tutoring: Averages

## Grade 6 Math Worksheets

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.

### 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:

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

#### 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

- What is the median of the following data set :

62, 56, 55, 56, 48, 56, 50, 54, 58 - Kiara took 7 geography tests in one marking period. What is the range of her test scores?

88, 73, 84, 92, 87, 75, 94 - 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 - 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 - Find the mode of the following data set :

55, 47, 38, 63, 56, 64, 44, 63, 39

##### Answer key

- Median= 56
- Range = 21
- The mean driving speed is 61 mph
- The median race time was 6.85 hr
- 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 Personalized Online Tutoring

Tutoring Package | Validity | Grade (1-12), College |
---|---|---|

5 sessions | 1 Month | $119 |

1 session | 1 Month | $24 |

10 sessions | 3 months | $229 |

15 sessions | 3 months | $339 |

20 sessions | 4 months | $429 |

50 sessions | 6 months | $999 |

100 sessions | 12 months | $1999 |

## IN THE NEWS

Tutoring

Test Prep

Worksheets

Pricing

About Us

Blog

Free Trial

Login

Terms of service

Privacy Policy

Money Back Guarantee

Technical requirements

FAQs

Job Opportunities

Sitemap

**Connect with us**

+1-269-763-4602

+1-269-763-5024

**Online test prep and practice**

SCAT

CogAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird