Exploring Descriptive Statistics

What is the mean of the following data set: 2, 4, 6, 8, 10?

• 6

• 4

• 8

• 10

Define median and explain how to find it 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, you multiply all values in the data set.

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

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

What is the mode of the data set: 1, 2, 2, 3, 4, 4, 4, 5?

• 4

• 3

• 5

• 2

Explain the concept of range in measures of dispersion.

• The range is the difference between the maximum and minimum values in a dataset.

• The range is the number of values in a dataset.

• The range is the sum of the maximum and minimum values in a dataset.

• The range is the average of all values in a dataset.

How do you interpret standard deviation in a data set?

• Standard deviation is the difference between the highest and lowest values.

• Standard deviation quantifies the variability of data points in relation to the mean.

• Standard deviation indicates the total number of data points.

• Standard deviation measures the average of data points.

What type of graph is best for displaying the frequency of categorical data?

• Pie chart

• Scatter plot

• Line graph

• Bar chart

What does a positively skewed distribution indicate about the data?

• It suggests that the data has a long tail on both sides, indicating a normal distribution.

• It indicates that the data has a long tail on the right side, with most values concentrated on the left.

• It shows that the data is evenly distributed with no skewness.

• It indicates that the data has a long tail on the left side, with most values concentrated on the right.

What is the purpose of a histogram in data visualization?

• To display categorical data in bars.

• To summarize data with a single average value.

• To show the correlation between two variables.

• To visualize the distribution of numerical data.

How can scatter plots be used to identify relationships between two variables?

• Scatter plots cannot display any trends or patterns.

• Scatter plots can only show the distribution of a single variable.

• Scatter plots are used to calculate the mean of two variables.

• Scatter plots can identify relationships by showing how two variables correlate visually.

What is the effect of outliers on the mean and median of a data set?

• Outliers increase both the mean and the median significantly.

• Outliers increase the mean and have little effect on the median.

• Outliers have no effect on the mean but decrease the median.

• Outliers decrease the mean and the median equally.