Introduction to Statistics

Statistics

​Last Lesson

We learned about measures in statistics:
mode
mean
median
range

Match

Match the following

• mode

• mean

• median

• range

most common data point

the average

the middle data point

highest-lowest

• most common data point

• the average

• the middle data point

• highest-lowest

​What is the mode for this data?

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Multiple Choice

The mode can be determined for

• non numerical data only

• numerical data only

• non numerical and numerical data

Calculating the mean...

Add all the data points up, and divide by how many there are

Eg: 4, 5, 6, 6, 7, 2, 2, 3, 5

The mean would be (4+5+6+6+7+2+2+3+5) / 9
which is? 4.4

Multiple Choice

Determine the average (mean) for the following temperatures for one week:

30, 32, 34, 31, 30, 30, 29

• 30.86
• 32.0
• 29.5
• 31.5

The median is the middle score

For odd number of scores- you will end up with one number
For an even number of scores, you will end up having to calculate the average between the middle two
Eg Determine the median of the following
3, 4, 5, 5, 6, 6, 7, 10, 11


3, 4, 4, 5, 6, 7, 7, 8

Multiple Select

Which statement is true

• the median is the middle data point

• you can find the middle score of numerical and non-numerical data

• in the case of an odd number of data points, the median will be the middle one

• in the case of an even number of scores, the middle score will be the odd one out

Range: highest-lowest

A maths class had to sit two different exams.
Exam A had the following marks
30, 34, 34, 35, 36, 37, 33, 34, 34, 35, 38

Exam B had the following
30, 35, 40, 42, 49, 52, 67, 87, 90, 92, 94

Which exam appears to be better at assessing the students?

Multiple Select

The following were the results of a maths topic test:

50, 56, 57, 63, 54, 71, 69, 71

Which statement is true?

• the average is 61.3

• the mode is 71

• the range is 21

• the median is 58.5

Multiple Choice

A scientist was tagging crocodiles in a swamp. The average length for 7 crocodiles was 1.7m. Another crodile was tagged and the average became 1.8. What was the length of the 8th crocodile

• 2.4m

• 0.1m

• 1.8m

• impossible to determine without knowing the other crocodiles

Poll

Which terms do you now understand?

• mean

• mode

• range

• median

Poll

Out of the subjects listed, what is your favourite subject?

• English

• PE

• Art

• Music

Poll

Out of the colours listed, which is your best preference?

• red

• blue

• yellow

• green

Poll

Out of the pictures chosen, which one makes you most happy

Poll

Out of the cars pictured, which one is your favourite?

Poll

Which is your favourite season?

• SUMMER

• AUTUMN

• WINTER

• SPRING