Stats 5.1 - Representation of data

Question 1

What are the 3 advantages of a bar/line graph?

1 and 2 are somewhat the same

Answer 1

1. It allows us to identify the mode
2. It gives us visual impression of data
3. It can be used for comparison

Question 2

What is a disadvantage of using a bar/line graph?

Answer 2

It cannot be used with large quantities of data.

Question 3

What are 2 advantages of a pie chart?

Answer 3

1. It can be used for comparison.
2. It gives a visual impression of the data

Question 4

What are 2 disadavantages of pie charts?

Answer 4

1. It does not use exact values in the data set (frequency has to be converted to degrees)
2. It can only deal with limited data

Question 5

State 3 advantages of a box and whisker plot.

Answer 5

1. It is easy to see whether the distribution is symmetrical, positive or negatively skewed.
2. It is easy to identify outliers or extreme values
3. Quartiles can easily be seen

Question 6

State 2 disadvantages of a box and whisker plot.

Answer 6

1. It works with only limited data
2. It does not show frequencies

Question 7

What are 3 advantages of the mode as a measure of central tendency?

Answer 7

1. It uses exact values in the data set.
2. It can be easily identified from the data set
3. It is not affected by extreme values

Question 8

What are 3 advantages of the mean as a measure of central tendency?

Answer 8

1. It is calculated from all th values in the data set {so it is representative of all values}
2. It is calculated using a mathematical formula or a calculator
3. It is useful for further statistical analysis.

Question 9

Give a disadvantage of the mean.

Answer 9

It is affected by extreme values.

Question 10

In a bar graph, what does the height represent?

Answer 10

In a bar graph, the height represents the frequency.

Question 11

What formula is used to calculate the angle in a pie chart?

Answer 11

The formula used to calculate the angle in a pie chart is:
angle =
(frequency ÷ total frequency) x 360

Each sector in a pie chart is proportional to frequency.

Question 12

When dealing with grouped data, how do you calculate class interval?

Answer 12

Class Interval = Upper Class Boundary - Lower Class Boundary

Grouped data is data that has been put into class intervals.