Solving Problems with Graphs (Stem and leaf, dot plots, and frequency tables)

How do you compare two sets of data using graphs?

• By looking at their shapes, centers, and spreads in dot plots, stem-and-leaf plots, or bar graphs.

• By calculating the mean and median of each set only.

• By determining the mode of each data set and comparing them.

• By analyzing the frequency of each data point in a pie chart.

What is a stem-and-leaf plot?

• A method to display data by splitting each number into a 'stem' and a 'leaf'.

• A type of graph that shows the relationship between two variables.

• A statistical technique used to calculate the mean of a dataset.

• A way to organize data into categories based on frequency.

What does it mean if a stem-and-leaf plot has a long stem?

• A long stem indicates that there are many data points that share the same leading digit, showing a concentration of values.

• A long stem suggests that the data points are widely spread out across different values.

• A long stem means that there are very few data points in the dataset.

• A long stem represents a high average value in the dataset.

How do you read a dot plot?

• In a dot plot, each dot represents one data point. To find the total number of data points, count the dots above each category.

• Each dot represents a category, and the height of the dots indicates the frequency.

• You read a dot plot by connecting the dots to form a line graph.

• A dot plot is read by averaging the values represented by the dots.

What is a frequency table?

• A method to calculate averages in a dataset.

• A way to organize data that shows how often each value occurs in a dataset.

• A graphical representation of data distributions.

• A technique for predicting future data trends.

What is a key feature of a dot plot?

• It allows for easy visualization of the distribution and frequency of data points.

• It can only display categorical data.

• It is primarily used for time series analysis.

• It requires complex statistical software to interpret.

What does each dot represent in a dot plot?

• Each dot represents one individual data point or observation.

• Each dot represents the average of the data points.

• Each dot represents a category of data.

• Each dot represents a range of values.

How do you calculate the range of a dataset?

• By averaging all the values in the dataset.

• By subtracting the smallest value from the largest value in the dataset.

• By finding the median of the dataset.

• By counting the number of values in the dataset.

How do you find the total from a frequency table?

• Add up all the frequencies to get the overall count of data points.

• Multiply the highest frequency by the number of categories.

• Subtract the lowest frequency from the highest frequency.

• Count the number of rows in the table.

What is the purpose of a stem-and-leaf plot?

• To display qualitative data in a visually appealing way.

• To summarize data by showing the mean and median values.

• To display quantitative data in a way that retains the original data values while showing the shape of the distribution.

• To create a simple bar graph for categorical data.