Gr 12 Math Lit: Ch 2.3 Summarising Data

What is the primary use of the mean in summarising data?

To understand the spread and distribution of the data
To find the most common value in the data set
To provide a single value that represents the central point of the data set (correct)
To identify the outliers in the data set

Which measure of central tendency is least affected by outliers?

Median (correct)
Mode
Range
Mean

What is the calculation for the median when there is an even number of values?

The average of the two highest values
The average of the two lowest values
The average of the two middle values (correct)
The highest value minus the lowest value

What is the purpose of the mode in summarising data?

To identify the most common category in categorical data (B) Signup and view all the answers

What is the range of a data set?

The difference between the highest and lowest values (B) Signup and view all the answers

What do quartiles divide the data set into?

Four equal parts (C) Signup and view all the answers

What is the calculation for the interquartile range (IQR)?

Q3 - Q1 (D) Signup and view all the answers

What is the purpose of the interquartile range (IQR) in summarising data?

To measure the spread of the central portion of the data (C) Signup and view all the answers

What is the primary advantage of using the median over the mean?

It is less affected by outliers (D) Signup and view all the answers

Which measure of central tendency is most suitable for categorical data?

Mode (C) Signup and view all the answers

What is the main difference between the range and interquartile range (IQR)?

The range measures the spread of the entire data set (D) Signup and view all the answers

What is the purpose of calculating quartiles in summarising data?

To understand the spread and distribution of the data (C) Signup and view all the answers

Why is the interquartile range (IQR) a useful measure of spread?

It measures the spread of the central portion of the data (B) Signup and view all the answers

What is the relationship between the median and the quartiles?

The median is the middle quartile (C) Signup and view all the answers

What is the main advantage of using the mean in summarising data?

It provides a single value that represents the central point of the data set (A) Signup and view all the answers

What happens when there is no value that repeats in a data set?

There is no mode (D) Signup and view all the answers

What is the key characteristic of the median that makes it a more robust measure of central tendency than the mean?

It is less affected by outliers and skewed data. (D) Signup and view all the answers

What is the main difference between the range and interquartile range (IQR) in terms of the data they represent?

The range represents the entire data set, while the IQR represents the middle 50% of the data. (C) Signup and view all the answers

Which of the following measures of central tendency is most sensitive to the presence of outliers in the data?

Mean (A) Signup and view all the answers

What is the primary advantage of using the quartiles in summarising data?

They help understand the spread and distribution of the data. (D) Signup and view all the answers

What happens when there is an even number of values in a data set and we want to calculate the median?

We take the average of the two middle values. (B) Signup and view all the answers

What is the purpose of calculating the interquartile range (IQR) in summarising data?

To measure the spread of the central portion of the data. (B) Signup and view all the answers

Which measure of central tendency is most suitable for data that is categorical in nature?