Statistics Concepts and Applications

What is the mean of the following numbers: 4, 8, 6, 5, 3?

• 6.0

• 4.5

• 5.2

• 7.2

Define the median and explain how to find it in a data set.

• The median is the average of all values in a data set.

• The median is the highest value in a data set.

• The median is the middle value of a data set when it is ordered from least to greatest.

• To find the median, simply add all the values together.

What is the mode of the following set of numbers: 2, 3, 4, 4, 5, 6, 6, 6?

• 6

• 3

• 5

• 4

Calculate the range of the following data set: 10, 15, 20, 25, 30.

• 25

• 20

• 30

• 15

How would you represent data using a bar chart?

• Represent values with different colors without bars.

• Use rectangular bars to represent categories and their values, with the x-axis for categories and the y-axis for values.

• Use pie slices to show proportions of categories.

• Display data points as dots on a line graph.

What is a pictogram and how is it different from a bar chart?

• A pictogram is a type of graph that uses lines to show trends.

• A pictogram uses images to represent data, while a bar chart uses bars to show quantities.

• A bar chart uses images to represent data, while a pictogram uses numbers.

• A pictogram displays data in a circular format, unlike a bar chart which is linear.

If the mean of a data set is 10 and there are 5 numbers, what is the total sum of the numbers?

• 60

• 50

• 30

• 40

Explain why the median is a better measure of central tendency than the mean in skewed distributions.

• The median is a better measure of central tendency than the mean in skewed distributions because it is not affected by outliers.

• The median is calculated using all data points, making it more reliable.

• The mean is always more accurate than the median in all distributions.

• In skewed distributions, the mean is less affected by the distribution shape than the median.

How can you identify the mode in a data set with no repeating numbers?

• The mode can be calculated using the median.

• There is no mode.

• The mode is the average of the numbers.

• The mode is the largest number in the set.

What is the significance of the range in a data set?

• The range shows the average value of a data set.

• The range determines the median of the data set.

• The range indicates the spread or dispersion of values in a data set.

• The range is the total number of values in the data set.