Construct a frequency distribution and a frequency histogram f...

Question

Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns.

Reaction Times

Number of classes: 8

Data set: Reaction times (in milliseconds) of 30 adult females to an auditory stimulus 507 389 305 291 336 310 514 442 373 428 387 454 323 441 388 426 411 382 320 450 309 416 359 388 307 337 469 351 422 413

Accepted Answer

Hello everyone. Let's take a look at this question together. Given the following data set of 32 exam scores, instruct a frequency distribution and frequency histogram using 8 classes, and here we have the following data set for our 32 exam scores. So in order to solve this question, we have to recall how to construct a frequency distribution and a frequency histogram so that we can construct both using our data set of the 32 exam scores with 8 classes, and we know that the first step to constructing the frequency distribution. and the histogram is to organize our data, so we sort our data in ascending order, giving us the following order of the numbers for the 32 exam scores. And from this data set, we can identify the lowest score, which is the minimum score is 56. The highest score, which is the maximum score, is 95, and using these values we can calculate our range, which is calculated by 95, subtracted by 56, so the range is equal to 39, and then we can determine the class width, of which we know we need 8 classes. So then using the formula for the class width, which is equal to the range divided by the number of classes. We substitute the value for the range and the number of classes, which is 39 divided by 8, so the class width is equal to 5. And so now that we have our class width, we know that we start at the minimum value, which is 56, and we add the width of 5 to make each class. And now we can create our frequency distribution table. Where we have the following class intervals, starting with 56 and adding our class width of 5 to each value, giving us our 8 class intervals from our data set, and we can see the frequency of each class interval, which for the first interval we have 2, the second we have 4, and so on for each of the 8 classes. And then using this data, we can construct our histogram. Where we know that our histogram has a horizontal axis, which is our X-axis. And we label it with the class intervals from the frequency table. And for our vertical axis, or the Y axis, we label it with the frequencies. And then for each class interval, we draw a bar where the width of the bar corresponds to the class width. However, in a basic histogram, all bars will be the same with visually, and then the height of the bar is determined by the frequency of that class. So then constructing our histogram, using our frequency distribution table, we get the following histogram of our exam scores, where we have Our exam scores on the x-axis and the frequency on the Y axis. Therefore, our data set of the 32 exam scores has the following frequency distribution table and frequency histogram. And looking at our answer choices, we can identify answer choice A is the correct answer, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

��app

Key Concepts

Frequency Distribution

Histogram

Classes and Bin Width

Watch next