Range

Range

Noemi Navas Arranz

1. Look at this information.

Number of hours watching TV per week

Mary Peter David John Susan Mark Claire Jane Paul

21 15 9 15 14 11 22 12 18

2. In pairs, answer these questions:1. What is the lowest number of hours?_____

2. What is the highest number of hours?_____3. What is the difference between the highest and the lowest number of hours?_____



21 15 9 15 14 11 22 12 18

9

2222 – 9 = 13

13

That is the RANGE.

3. Complete this definition. Use some of the words above.The RANGE is the ____________ between the ___________ and the ___________ number or piece of data.



21 15 9 15 14 11 22 12 18

22 – 9 = 13

differencehighest

lowest

highest number lowest range piece of data difference hours

4. Look at this data and calculate the range.

19 – 2 = 17The range is 17

Highest number

Lowest number

5. In groups, calculate the range for your own data.

Median

1. Look at this information again.

2. In pairs, order the data from the lowest to the highest number.3. Then, copy the data in order in your worksheet.



21 15 9 15 14 11 22 12 18

Does your table look like this one?

Which piece of data is in the middle? ______


David Mark Jane Susan Peter John Paul Mary Claire

9 11 12 14 15 15 18 21 22

1 2 3 4 5 6 7 8 9

15

That is the MEDIAN.

In order to calculate the piece of data that is in the middle...1.Count the pieces of data.2.Add on 1 and divide by 2. (n+1):2=(9+1):2=10:2= 5So, in this case, the median is the 5th number.

1 2 3 4 5 6 7 8 9


David Mark Jane Susan Peter John Paul Mary Claire

9 11 12 14 15 15 18 21 22

4. Complete. Use some of the words below.The MEDIAN is the___________ that is in the ________ when the pieces of data are in _______ from the _______ to the ________.

number lowest range middle piece of data order highest median

piece of datamiddle

order lowesthighest

So, in this table...

The range is _______

and the median is ______.



21 15 9 15 14 11 22 12 18

13

15

5. What is the median of these data? Calculate in pairs.

Is there a problem?

2, 5, 7, 8, 14,19

(7+8):2= 15:2=7,5

There is no middle number, so...Add up the two middle numbers and divide the result by 2. (n+n):2=When there is an even number of pieces of data, this is the way to calculate the median.

Order the pieces of data.

6. In groups, calculate the median for your own data.

1. Look at these frequency charts.

The mode is 0.

The mode is 2.

The mode is 9.

The mode is 3.

The mode is 1.

In pairs, think what mode is.

The mode is 0.

The mode is 2.

The mode is 9.

The mode is 3.

The mode is 1.

The mode is 0.

The mode is 2.

The mode is 9.

The mode is 3.

The mode is 1.

2. Let’s work it out!

Do you know what the mode is?The mode is the most / least repeated piece of data.

3. Check it!

The mode is 0.

The mode is 2.

The mode is 9.

The mode is 3.

The mode is 1.

4. You can identify the mode from...

a frequency chart.

You can identify the mode from...

a bar chart.

a bar line chart.


a pie chart.


a line graph.


the data.

0, 0, 0, 0, 0, 0, 0, 01, 1, 1, 1, 1, 1, 12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 23, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 34, 4, 4, 4, 45, 5


5. Look at this frequency chart.

Portions eaten

Frequency

0 0

1 3

2 2

3 9

4 7

5 4

6 0

+ 6 0

Portions of fruit and vegetables eaten per day.

Now, answer these questions.

Portions eaten

Frequency

0 0

1 3

2 2

3 9

4 7

5 4

6 0

+ 6 0

Portions of fruit and vegetables eaten per day 1. How many pupils eat 3

portions per day?2. How many portions do

4 pupils eat?3. How many pupils

answered the question?

4. How many pupils eat less than 3 portions per day?

5. What is the mode?5

5

25

9

3


Work in pairs.What is the mode?



21 15 9 15 14 11 22 12 18



21 15 9 15 14 11 22 12 18

911121415, 15182122

The most repeated

piece of data is ___.

The mode is ___.

15

15

So, in this table...

The range is _______,

the median is ______ and the

mode is _______.



21 15 9 15 14 11 22 12 18

13

15

15

7. Discuss in groups.What is the mode now?

Number of hours watching TV per weekMary Peter David Susan Mark Claire Jane Paul

21 15 9 14 11 22 12 18

There are no repeated numbers, so there is no mode.

8. Discuss in groups.What is the mode now?


Mary Peter David Susan Mark Claire Jane Paul

11 14 9 14 11 14 12 11

There are two numbers repeated three times, so... A.there is no mode orB.the modes are 11 and 14.

9. In groups, calculate the mode for your own data.


1. Count the number of pieces of data. 2. Add up all the data.3. Divide the result by the number of pieces of data.That is the MEAN.



21 15 9 15 14 11 22 12 18

Work in pairs.

1. Count the number of pieces of data. 2. Add up all the data.

3. Divide the result by the number of pieces of data.

That is the MEAN. The mean can be different from the numbers of the data.



21 15 9 15 14 11 22 12 18

1 2 3 4 5 6 7 8 9

9

21+15+9+15+14+11+22+12+18=

137

137:9= 15,22

2. So, in this table...

The range is _______,

the median is ______,

the mode is _______ and

the mean is _______.



21 15 9 15 14 11 22 12 18

13

15

15

15,22

3. What is the mean of these data? Calculate in pairs.

3. Divide the result by the number of pieces of data.

The MEAN is _____

1 2 3 4 5 6

6

14+15+14+18+17+14=92

92:6=15,33

1. Count the number of pieces of data.

2. Add up all the data.

15,33

4. In groups, calculate the mean for your own data.

Frequency charts available from

http://uk.ixl.com/math/http://www.ixl.com/math/practice/grade-4-frequency-charts. (Accessed 1 March 2011)

http://www.ixl.com/math/practice/grade-4-frequency-charts

http://www.ixl.com/math/practice/grade-4-frequency-charts

Range

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