percentage and fraction
to decimals
% of a quantity
Probability review
Statistics Review
100

Express 3/10 as a percentage

30%

100

50%

0.5

100

what percentage is 20 meters out of 100 meters?

20%

100

The complement of green is

Not green

100
If I am collecting data from a whole population do I use a survey or a census?

Census

200

Express 75% as the simplest fraction

3/4

200

75%

0.75

200

what percent is 40 out of 50 marks

80% Double or nothing

200

A bag with 15 marbles has 7 green marbles.  Pr(Green') is equal to?

8/15

200
Name the measure of centre found by organising the data from smallest to largest and finding the middle.
Median
300

Express 1.2 as a percentage

120%

300

4/100

0.04

300

what percent is 40cm out of 2 m

20%

300

Consider the list 2, 3, 4, 5, 7, 8.  What is the probability a number is chosen that is an odd number or over 4 but not both.

Odd numbers 3, 5, 7

Numbers over 4 are 5, 7 and 8

Numbers in both groups 5 and 7

So only 3 and 8 are allowed so probability is 2/6 or 1/3.

300

Our school has 1100 students.  A teacher completed a survey of 10 students in year 8.  When they spoke to the Principal they said that the result is biased.  Explain why the Principal believed the result could be biased (hint there are two reasons).

Two answers:

The sample is very small

The year 8 students do not represent all of the different groups in the school.

400

Express 300% as a number

3

400

8%

0.08

400

what is $87.50 out of $350.00 as a percentage

25%

400

A survey found that there were 7 people who liked both pink and green.  There were 9 people who only liked green and a total of 50 people in the survey.  What is the probability of not liking green?

Probability of green is 16/50

Probability of not green is 34/50.

400

A sample set of data has the numbers 4, 5, 6, x, 9, 10.

If the median is 7.5 what is x?

x = 9

The middle number between 6 and 9 is 7.5.

500

Express 115% as a fraction

23/20

500

7 1/4

7.25 Double or nothing

500

What is 12 out of 96 as a percentage


12.5%

500

A survey of 100 households found that 35 had a cat, 45 had a dog.  There were 30 households without a pet.

How many households had both a cat and a dog?

500

A set of 6 numbers has a mean of 25 and an outlier of 50.  If the outlier was removed what would be the new mean? 

Mean = 20


Total value is 6 x 25 = 150

Remove 50 so new total is 100 with 5 numbers.

Mean is 100/5 = 20.