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Math: Middle School: Grades 6, 7 and 8 Quiz - Data Handling - Averages 2 (Questions)

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Mean and mode are two types of averages found in data handling. An average is a typical or representative value of a data set.

See how much you know about the subject in the following Math quiz which deals with the three averages - mean, mode and median - which can be used in different situations.

A box of paper clips is labeled 'average contents 100'. How many paper clips would you expect to find in the box?

[ ]	100
[ ]	About 100
[ ]	At least 100
[ ]	More than 100

Which of these is always one of the data values in a set?

[ ]	Mean
[ ]	Median
[ ]	Mode
[ ]	Range

Of 20 customers at a vending machine, 8 spent 50p, 5 spent 60p, 4 spent 75p and 3 spent £1. What was the total amount spent?

[ ]	£2.85
[ ]	£8.50
[ ]	£10.90
[ ]	£13.00

What is the modal amount spent by these 20 customers?

[ ]	50p
[ ]	60p
[ ]	75p
[ ]	£1

What is the median of this data?

[ ]	50p
[ ]	60p
[ ]	75p
[ ]	£1

To find the mean of a data set, add up all values then divide by the .......

[ ]	number of values in the set
[ ]	biggest number in the set
[ ]	smallest value in the set
[ ]	middle value of the set

What is the mean amount spent by the 20 vending machine customers?

[ ]	50p
[ ]	55p
[ ]	60p
[ ]	65p

Which averages could best represent this set of data?

[ ]	Mode and median
[ ]	Mean and mode
[ ]	Median and mean
[ ]	Any of them

The mean length of calls to a help desk is 3 minutes. If the advisers take 1,000 calls, how much time do they spend on the 'phone?

[ ]	20 hours
[ ]	30 hours
[ ]	40 hours
[ ]	50 hours

10.

The mean of the first 9 calls is 5 minutes. The next call takes 10 minutes. What is the mean of the first 10 calls?

[ ]	4.5 minutes
[ ]	5 minutes
[ ]	5.5 minutes
[ ]	6 minutes

Math: Middle School: Grades 6, 7 and 8 Quiz - Data Handling - Averages 2 (Answers)

A box of paper clips is labeled 'average contents 100'. How many paper clips would you expect to find in the box?

[ ]	100
[x]	About 100
[ ]	At least 100
[ ]	More than 100

You might get 102 in one box and 98 in another, but the contents should always be about 100

Which of these is always one of the data values in a set?

[ ]	Mean
[ ]	Median
[x]	Mode
[ ]	Range

Remember, the mode is the most common

Of 20 customers at a vending machine, 8 spent 50p, 5 spent 60p, 4 spent 75p and 3 spent £1. What was the total amount spent?

[ ]	£2.85
[ ]	£8.50
[ ]	£10.90
[x]	£13.00

(8 x 0.50) + (5 x 0.60) + (4 x 0.75) + (3 x 1)

What is the modal amount spent by these 20 customers?

[x]	50p
[ ]	60p
[ ]	75p
[ ]	£1

Modal amount = mode (most frequent)

What is the median of this data?

[ ]	50p
[x]	60p
[ ]	75p
[ ]	£1

Both the 10^th and 11^th values are 60p

To find the mean of a data set, add up all values then divide by the .......

[x]	number of values in the set
[ ]	biggest number in the set
[ ]	smallest value in the set
[ ]	middle value of the set

What is the mean amount spent by the 20 vending machine customers?

[ ]	50p
[ ]	55p
[ ]	60p
[x]	65p

Mean = total ÷ 20. £13.00 ÷ 20 = 0.65

Which averages could best represent this set of data?

[x]	Mode and median
[ ]	Mean and mode
[ ]	Median and mean
[ ]	Any of them

The mean is higher than the amount spent by most customers. 13 of them spent 60p or less

The mean length of calls to a help desk is 3 minutes. If the advisers take 1,000 calls, how much time do they spend on the 'phone?

[ ]	20 hours
[ ]	30 hours
[ ]	40 hours
[x]	50 hours

1,000 x 3 = 3,000 minutes. Divide by 60 to convert to hours

10.

The mean of the first 9 calls is 5 minutes. The next call takes 10 minutes. What is the mean of the first 10 calls?

[ ]	4.5 minutes
[ ]	5 minutes
[x]	5.5 minutes
[ ]	6 minutes

Total call time is (9 x 5) + 10 = 55 so mean is 55 ÷ 10 = 5.5