Question

Rowen conducts a survey to record the number of movies bought by each customer during a weeklong sale at his store Number of Movies , X Frequency 1 25 2 40 3 35 4 45 20 6 15 Rowen calculates the relative frequencies and rounds to the nearest whole percent. Which of the following is the correct cumulative relative frequency graph for Rowen's data?

Answer 1

Unfortunately, as an AI language model, I cannot display images or graphs. However, I can describe how to approach creating a cumulative relative frequency graph from the given data:

1. Calculate the total number of customers (n) who made purchases during the sale. This is the sum of the frequencies: 25 + 40 + 35 + 45 + 20 + 6 + 15 = 186.

2. Calculate the relative frequency (f) for each value of X by dividing the frequency by n and multiplying by 100 to get a percentage. Round to the nearest whole percent. For example, the relative frequency for X = 1 is (25/186) x 100 = 13%.

3. Calculate the cumulative relative frequency (CF) for each value of X by adding up the relative frequencies for X and all previous values. For example, the CF for X = 3 is the sum of the relative frequencies for X = 1, X = 2, and X = 3: 13% + 22% + 19% = 54%.

4. Plot the cumulative relative frequencies as points on a graph, with the values of X on the x-axis and the CF on the y-axis. Connect the points with a line to create the graph.

Hope this helps!