How To Make a Table of a Grouped Frequency Distribution

Prepare a table of a grouped frequency distribution of test scores with columns for class interval, frequency, cumulative frequency, percentage, cumulative percentage/percentile rank, z-score, and T-score. Explain this table in your own words so that a lay person could understand it.

Begin by ordering the 10 test scores in our example data set from lowest to highest to make them easier to work with: 7, 7, 10, 10, 11, 12, 13, 14, 15, 15. (The fact that each score was out of a possible 20 points is not relevant when making a frequency table, unless you want to include rows for all possible test scores to include those below 7 and above 15, which would be unusual.) Using class intervals means that each row of your table represents a range of scores, in this case 2, so that the first row of your column of scores is 7-8, the second is 9-10, and so on. The next column contains the frequencies, which is the number of scores on the test that are in each class interval. If you look at the scores we ordered from lowest to highest, you can easily see that only 2 scores are in the first class interval of 7-8, the 2 scores of 7. The next class interval of 9-10 also has a frequency of 2, because only the 2 scores of 10 ...

Solution Summary

This solution provides a detailed step-by-step explanation of how to make a table of a grouped frequency distribution from raw data. It explains how to find and compute the values to include under columns for class interval, frequency, cumulative frequency, percentage, cumulative percentage/percentile rank, z-score, and T-score. The instructions are provided in the context of an example that walks you through the steps for creating a table of a grouped frequency distribution from a data set of 10 test scores (ranging from a possible 0 to 20) using a class interval of 2. It concludes with a recommendation for how to provide an explanation of how to interpret the table in a way that a layperson could easily understand. Internet links are provided.

Week 2 Problem Sets
2. a 9
b 31
c 119
4. 54-59
50-55
45-49
40-44
35-39
30-34
25-29
20-24
15-19
10-14
6. When we generate a large volume of data, we are unlikely to be able to make sense of it by looking at all the data. The largest amount o

1. The exam scores of 19 students are as follow:
76, 74, 82, 96, 66, 76, 78,72, 52, 68,
86, 84, 62, 76, 78, 92, 82, 74, 88
a. Prepare a frequencydistribution.
b. Draw a stem-and-leaf plot.
c. Construct a histogram with a class width of 1 and 5.
d. Based on (a.) do you think a grouped freque

1. Place the following scores in a frequencydistributiontable. Include columns for proportion (p) and percentage (%) in your table. The scores are: 4, 6, 2, 9, 8, 8, 5, 7, 7, 3, 6, 6, 7, 4, 5, 8, 6, 5
2. Under what circumstances should you use a groupedfrequencydistribution instead of a regular frequencydistribution?

See the attached file.
Question 1: (please help me in question 1.2 to 1.5.3 and please do check 1.1, if it is correct or not)
(i) A production manager at a firm recorded the outputs of the all workers in the production division during a certain shift and obtained the following results.
1496 1377 1336 1103 1284 1459 14

Please see the attached file for the complete problem description.
1. Prepare a frequencydistribution of ungrouped data including cumulative frequency (tally) for the table of approved
2. Calculate the mean, mode and median of the table of approved
3. Calculate the range, variance and standard deviation table Approvals
4.

•With included given data which is number of hours worked per day for ten days.
Data: 4,2,4,2,4,0,3,2,1,1
•Create a frequencydistributiontable for your data. You can use Excel or Word.
•Calculate the standard deviation.
•Calculate the variance.
•Is this a normal distribution? How do you know?
•What are the i

1. The number of dry cleaning orders picked up at Sunny Fresh Dry Cleaners was sampled over 12 hour periods. Below is the sample:
71 86 63 46 70 63 49 63 81 71
63 59 45 63 70 64
Construct a stem and leaf plot of the data.
2. Below are the home states of 16 college professors

Question 1
A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (excellent quality). The results were 32, 34, 40, 43, 44, 47, 48, 49, 49, 50, 50, 51, 51, 52, 53, 54, 55, 59, 62, 65, 66, 66, 70