Averages and Range (Finding the Missing Values)

​Recap:

Define mean, median, mode and range.

Give at least 1 example situation where we use mean, median, mode and range in real world situation.

Word Cloud

Write a real-world situation using the averages (mean, median and mode).
Write your answer in 1 - 2 words only.


Example: Household Expenses

Averages and Range
Finding the missing value.

Collaborative Investigation Task:

Investigate, discuss and determine the missing value using the understanding of average (mean).



Guide Questions:
- What does the average tell us about the data set?
- How can we use the average (mean) to find the missing values?

Fill in the Blanks

Find the missing value in the data set of 4, n, 7, 1, when the average (mean) is 6.
What is the value of n?

Fill in the Blanks

Find the missing value in a set of data:

25, 3, n, 14 when the average (mean) is 16.

Fill in the Blanks

The range for the following set of data, arranged in ascending order, is 10.

  Calculate the missing number.

   2  4  7  10 n

​Gallery Wall Group Task:

Investigate, discuss and use the knowledge of all the averages (mean, mean mode) and range in finding the missing value/s in a set of data.




Ask yourself/your teammate:

- What steps did I/we take to solve the problem?
- What did I/we find challenging and how did I/we overcome them?

Reorder

​ The median for the following set of data, arranged in ascending order, is 5 and the range is 15.

Calculate the missing values of x and y.

x 3 y 7 16

• 1

• 3

• 5

• 7

• 16

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Match

The following set of data, arranged in ascending order, has a mean of 4, a median of 3 and a mode of 1.

 Find the values of x, y and z.

1 x 2 y z 10

• x

• y

• z

1

4

6

• 1

• 4

• 6

Fill in the Blanks

Five numbers have a range of 16, a mode of 2, a median of 7 and a mean of 8.

  The minimum number in the set is 2.

What are the five values?

​Four numbers have a range of 5, a median of 9 and a mode of 11.

Write the four numbers of this data set.

Fill in the Blanks

The mean of 4 numbers is 11.

  Here are 3 of the numbers

  7   8   16

  What is the fourth number?

Fill in the Blanks

The mean of 6 numbers is 15.

  Here are 5 of the numbers

  8  10  11  21  26

  What is the sixth number?

​There are five cards with some numbers on them.



____________ ___________ __________ __________ __________


The number on one of the cards is 2.
The mean of 5 numbers is 7.
The mode is 10.
The median is 8. 


Find the numbers on the other four cards.

​There are four cards with some numbers on them.



__________ ___________ _________ _________

The mode of the cards is 6.

The mean of the cards is 7.

The range of the cards is 8.

Find the four numbers on the cards.

Five children each score a mark on a spelling test.


___________ ___________ __________ __________ ___________

Mode, median and mean are all types of average.

The average of our marks is 7

The average of our marks is 8

The average of our marks is 9

The total of our marks is 35

The lowest mark is 2

Write the five marks the children score.