Averages: Mean, Median, Mode And Range

What we will cover today:

Mean, median, mode and range

Statistics and probability

What is the difference between statistics and probability?

Statistics are things that have happened in the past that can be put in a mathematical form. E.g. 50% of children love chocolate.

Probability is when you calculate the chance of something happening.

What is the mean?

The mean is when you add all the values, then divide that number by the number of values.

What is the median?

The median is when you put the numbers in order of size and find the middle value.

What is the mode?

The mode is the most common number in a list of numbers.

What is the range?

The range is the difference between the biggest and the smallest number.

What are the advantages and disadvantages of using the mean, median, range and mode?

Advantage

Disadvantage

Mean

Uses all the data.

Affected by extreme values.

It can take long if there are a lot of numbers.

It may not be a whole number if you are working with discontinuous data.

Median

Not affected by extreme values.

Value may not actually exist.

Mode

Suitable for data that can be described in words.

Not always near the middle of the data.

There may be more than one mode.

Year 7 questions:

MEAN, MEDIAN, MODE AND RANGE

1. A beekeeper reported the number of bees that escaped from each of the 5 hives she maintained. She reported:

3 bees, 5 bees, 7 bees, 5 bees, 2 bees

What was the median and mean number of escaped bees?

2. Bryan volunteered to stamp hands at the entrance of a museum 7 times this year. The number of visitors each time was:

5 visitors, 4 visitors, 5 visitors, 5 visitors, 4 visitors, 3 visitors, 9 visitors

What was the mean and median number of visitors?

3. What is the mode?

6, 2, 6, 2, 2

4. Vincent used coupons 8 times at the store last month. The savings were:

£6.00, pound;3.00, pound;3.00, pound;3.00, pound;3.00, pound;4.00, pound;8.00, pound;3.00

What was the mode of the amounts saved?

5. Hector`s class sold chocolate bars as a fundraiser for a field trip. The 5 students sold:

5 chocolate bars, 4 chocolate bars, 2 chocolate bars, 6 chocolate bars, 3 chocolate bars

What was the range of the numbers of chocolate bars sold?

6. Ruben bought 8 toys for his puppy, Fluffy. The toys cost:

£8.00, pound;9.00, pound;5.00, pound;7.00, pound;4.00, pound;9.00, pound;6.00, pound;8.00

What was the mean price of the toys?

7. Ian volunteered at the city park. He planted 6 flower beds with:

4 plants, 5 plants, 8 plants,6 plants, 5 plants, 5 plants

What was the mode of the numbers of plants?

8. Caleb is a party planner who bought 5 decorations for a birthday party. The prices of the decorations were:

£6.00, pound;4.00, pound;4.00, pound;3.00, pound;2.00

What was the median price of the decorations?

9. What is the median?

2, 2, 4, 10,5, 2

10. What is the range?

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