Answer :
Final answer:
Yes, you can construct a Probability Histogram using a TI-84 calculator. It involves using the 'Stat Plot' feature, entering data into a list, computing relative frequencies, and adjusting the plot settings.
Explanation:
Constructing a Probability Histogram with a TI-84 calculator is indeed possible and can be an insightful way to represent data visually. To create a probability histogram, you will first need to compute the relative frequencies of your data set. These can typically be found by dividing the frequency of each outcome by the total number of trials or observations. With your TI-84, you can use the built-in functions to help with this step.
Firstly, enter your data into a list, and then calculate the relative frequencies. Next, use the 'Stat Plot' feature to set up your histogram and define the plot settings, such as setting the type to histogram and selecting the appropriate list and frequencies. Adjust the window settings to appropriately display your histogram on the screen. Once you have your settings in place, you can draw the histogram by pressing the 'Graph' button.
It's essential to be familiar with your calculator's capabilities. The TI-84 can perform many statistical functions, including calculating sample mean, standard deviation, median, quartiles, and more, which are often helpful in preparing the data for your histogram.