Year 9 Statistics

Question 1

What is the mean of a set of numbers?

Answer 1

The mean is the sum of all numbers divided by the count of numbers.

Question 2

What is the mode?

Answer 2

The mode is the number that appears most frequently in a data set.

Question 3

What is the median?

Answer 3

The median is the middle value when the numbers are arranged in order.

Question 4

True or False: The mode can be more than one number.

Answer 4

True

Question 5

Fill in the blank: The mean is also known as the __________.

Answer 5

average

Question 6

What type of chart is used to display the frequency of data?

Answer 6

A frequency table or histogram.

Question 7

What does a bar chart represent?

Answer 7

A bar chart represents categorical data with rectangular bars.

Question 8

In a frequency table, what does the frequency column represent?

Answer 8

The frequency column represents the number of times each value occurs.

Question 9

What is the formula for calculating the mean?

Answer 9

Mean = (Sum of all values) / (Number of values)

Question 10

True or False: The median is affected by extremely high or low values.

Answer 10

False

Question 11

How do you find the median in an even set of numbers?

Answer 11

Average the two middle numbers after sorting the data.

Question 12

What type of graph is best for showing parts of a whole?

Answer 12

A pie chart.

Question 13

Which measure of central tendency can be used for categorical data?

Answer 13

Mode

Question 14

What is a histogram?

Answer 14

A histogram is a graphical representation of the distribution of numerical data.

Question 15

Fill in the blank: A __________ displays data using lines to show trends over time.

Answer 15

line graph

Question 16

What is the main purpose of a frequency distribution?

Answer 16

To summarize and organize data.

Question 17

True or False: A dataset can have no mode.

Answer 17

True

Question 18

What does it mean if a dataset is bimodal?

Answer 18

It has two modes.

Question 19

How do you construct a frequency table?

Answer 19

List values and count how often each value occurs.

Question 20

What is the difference between the mean and median?

Answer 20

The mean is affected by outliers, while the median is not.

Question 21

What is a box plot?

Answer 21

A box plot displays the distribution of data based on a five-number summary.

Question 22

Fill in the blank: The __________ is the highest value in a data set.

Answer 22

maximum

Question 23

What is the five-number summary?

Answer 23

Minimum, first quartile, median, third quartile, maximum.

Question 24

True or False: The first quartile is the median of the lower half of the data.

Answer 24

True

Question 25

What does the interquartile range measure?

Answer 25

The spread of the middle 50% of the data.

Question 26

Which chart is best for comparing different categories?

Answer 26

Bar chart

Question 27

What is an outlier?

Answer 27

A value that is significantly higher or lower than the other values in a dataset.

Question 28

Fill in the blank: In a __________, the height of the bars represents frequency.

Answer 28

histogram

Question 29

What does a scatter plot show?

Answer 29

The relationship between two quantitative variables.

Question 30

True or False: A pie chart can show how data is distributed across different categories.

Answer 30

True

Question 31

What type of data is best represented by a line graph?

Answer 31

Continuous data.

Question 32

What is the range of a dataset?

Answer 32

The difference between the maximum and minimum values.

Question 33

Fill in the blank: A frequency polygon is created by connecting the __________ of a histogram.

Answer 33

midpoints

Question 34

What is the purpose of a cumulative frequency graph?

Answer 34

To show the cumulative total of frequencies up to a certain point.

Question 35

What is the mode of the data set: 2, 3, 4, 4, 5?

Answer 35

4

Question 36

What is the median of the data set: 1, 3, 3, 6, 7?

Answer 36

3

Question 37

True or False: The mean can be calculated for categorical data.

Answer 37

False

Question 38

What type of data does a bar chart represent?

Answer 38

Categorical data.

Question 39

What is the benefit of using a frequency table?

Answer 39

It organizes data for easier analysis.