Explore BrainMass

# Frequency Distribution

A frequency distribution is commonly represented in tabular format and can summarize data for either categorical or numerical variables. Frequency distribution tables are organized so that the data is classified into a certain number of categories and the number of units pertaining to each category is recorded. Numerical distributions are used for numerical variables, in which the variables are measured according to size. On the other hand, categorical distributions organize variables with reference to a particular attribute or quality.1

When compiling data for a frequency distribution table, the first step involves detailing the number of categories which are required and then, it is necessary to decide upon class limits. Class limits, is a term which refers to the need to evaluate the boundaries for each category with regards to what category it follows and which category it proceeds1. Once the class limits are determined, the next step involves counting the individual observations and tallying the counts for each category. It is in this step that the class frequencies are deciphered. 1

Frequency distributions have a plethora of applications in statistics. For example, frequency distributions can be graphed to determine whether or not the data follows a normal distribution. Histograms are typically constructed when testing for normality because it is clear to determine whether data is skewed or not using these figures. As well, frequency distributions can be used for hypothesis testing and during the assessment of data, such as when calculating measures of central tendency. Essentially, the main objective of frequency distributions is to summarize data in a clear and concise manner and considering their commonality in statistics, learning to construct and interpret them is a critical skill.

Reference:

1. Walpole, R., Myers, R., Myers, S. and Ye, K. (2011). Probability and Statistics for Engineers. 8th ed. Prentice Hall.

### MATH 123 HW 16 Probability

A survey of 64 families yields the following data for the number of children per family. a. Put this data into a frequency table. Compute the proportions as percentages to 1 decimal place. b. What is the mode value for the number of children per family? Use this answer in a meaningful sentence. c. How many families have 4 or

### Median Income of Females

2.2.2 The median incomes of females in each state of the United States, including the District of Columbia and Puerto Rico, are given in table #2.2.10 ("Median income of," 2013). Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 7 classes. \$31,862 \$40,550 \$36,048 \$

### MGMT 650 Q4 Frequency, Q5 Charts

Q4 - Frequency Use the raw Data on the Pivot Table Data Sheet to create a Frequency Chart: Follow these steps to get the Frequency chart. The following website also has instructions to create bins. https://www.statisticshowto.datasciencecentral.com/choose-bin-sizes-statistics/ 13) Step One: (Find the lowest and highest numb

### Standard Deviation Example using Dogs and Exam Results

7. Suppose the weight of a dog breed is approximately normally distributed, with a mean of 75 pounds and a standard deviation of 2.4 pounds. Complete the normal curve for 3 standard deviations b. What percent of dogs weigh less than 77.4 pounds? c. What percent of dogs weigh more than 70.2 pounds? d. What percent of dog

### MAT 120 5-6: Histogram and Standard Deviation

5. The following data represents height (cm) for students in a particular class. a. Is the histogram symmetric, left skewed or right skewed? b. Is the histogram unimodal, bimodal, or multimodal? â€¨ c. Would you expect the mean height (cm) to be smaller, larger, or about equal to the median height (cm) for these students?

### Relative Frequency Questions

Use the relative frequency table to the right (attached) to answer the following questions: a) How many classes are in the table? b) What is the class width? 4. The following data consists of the weights, in pounds, of 25 high school students: 195, 206, 165, 105, 340, 210, 195, 108, 195, 145, 180, 210, 104, 195, 100, 212, 1

### Finding the frequency and relative frequency of data

1. A sample of major networks viewed on a given night by 20 randomly selected individuals is given as follows: ABC, NBC, FOX, CBS, NBC, NBC, ABC, NBC, NBC, ABC NBC, FOX, ABC, CBS, ABC, FOX, FOX, NBC, ABC, CBS. a. Construct a table that gives the frequency and relative frequency distribution of this data. 2. Use the bar graph

### Summary Tables

1. The coordinator for the Student Support Program administered a standardized, norm-referenced assessment to students who attend a study skills program in the center. Higher scores reflect strong study skills, while low scores reflect weak skills. She needs to prepare a report that describes the performance of five students

### Descriptive statistics, probability, and risk assessment

Scenario: You work for a private investment company that currently has numerous business investments in real estate development, restaurant franchises, and retail chains. Following an exhaustive search for new investment opportunities, you have found three possible alternatives, each of which will pay off in exactly 10 years fro

### Do you Trust Statistics?

Do you always trust the statistics you see in print? How about the ones you hear on the news or on your favorite talk show? What makes the statistics credible? For this question, I want you to tell me what criteria should be used to determine if the reported statistics should be believed.

### Dependency ratios

The 123 text covered dependency ratios for the total population of the United States. The snapshot below is a spreadsheet that also separates the population into regions. 1. You will need to select a region to use to complete the questions below. Refer to your book if necessary. a. Which region will you be using for your ca

### Data Analysis, Graphs and Hypothesis Testing

1. A study was conducted on the distribution and packaging of 1.69 ounce packages of plain m&mÂ® candies. A random sample of 78 bags was collected and the data reported in the attached Excel file. The study wanted to examine the color percentages and the total number of candies packaged in each bag. Using this data, answer the

### Testing hypotheses in SPSS

Use a research question that describes the dataset below in the example For this Project, you will use the "Statistics Class" dataset called Stat_Grades.sav, which can be found in the Doc Sharing area under the Graded Projects category. This same "Statistics Class" dataset is used for all the class projects. The Stat_Grades.s

### Quantitative Methods: Inventory Model

A product used in a laboratory of the hospital costs \$60 to order, and its carrying cost per item per week is one cent. Demand for the item is six hundred units weekly. The lead time is three weeks and the purchase price is \$0.60. a. What is the economic order quantity for this item? b. What is the length of the order cycle?

### Resistance to Change CEO

Data Imports, Inc. is a company located in San Antonio, Texas. Organizational leaders recently decided to consider a sweeping change initiative that will significantly change daily operations at the company. In order to determine whether the time is right for this change, the company's CEO, David Long, decided to collect some d

### NRF/BIG research for holiday consumer spending

NRF/BIG research provided results of a consumer holiday spending survey(USA Today, December 20,2005). The following data provided the dollar amount of holiday spending for a sample of 25 consumers. 1200- 850 -740- 590- 340 450- 890- 260- 610 -350 1780 -180 -850- 2050- 770 800 -1090 -510 -520 -220 1450 -280 -1120- 200 -350

### Computing Probability Under Normal Distribution and Conducting

Please look at the 3 attached files for the computing probability problems.

### How to produce descriptive statistics and bar graph in SPSS

I am not sure I picked the right category, sorry if I did not. it must be in SPSS Obtain an output with the following values Determine the statistics for each gender as follows: Frequency Counts, Mean, Standard Deviation, Minimum, and Maximum Graphing and Descriptive Stats in SPSS: Create a bar graph with gender (axis X) a

### Questions on Descriptive Statistics

Listed below are the gross amounts (in millions of dollars) earned in box office receipts for a recent movie. The amounts are listed in order for the first 14 days of the movies release. Find the range, variance, and standard deviation of the data set. If you invested in this movie, what characteristic of the data set would yo

### Some discussion on the type of variables

Business Statistics-3240--give example of, identify nominal, ordinal, interval and ratio variables in a organization. Then identify one variable for each level of measurement and explain why the variable you identified fits that level of measurement.And how might the organization use the data.

### Statistics: Confidence intervals and p_values

The major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also

### variable review

The major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also

### Descriptive Statistics: Box and Whisker Plot

The major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also

Suppose that you measure the time it takes to download a video from the internet A. Explain why the dowload is a continous numerical varaible B. Explain why the download time is a ratio scaled variable

### Shopping Survey

The major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also

### Chi-square independence test between two groups

Teens were asked in the MTF 2008 survey how often they think about social issues (specific issues were not identified). The bivariate table includes responses organized by teen's race. Test the null hypothesis that race and thinking about social issues are independent (a=0.05) (See attached file for data)

### Frequency distribution of grouped scores

A small eastern college uses the grading system of 0-4.0, with 4.0 being the highest possible grade. The scores shown here are the grade point averages of the students currently enrolled as psychology majors at the college. 2.7 1.9 1.0 3.3 1.3 1.8 2.6 3.7 3.1 2.2 3.0 3.4 3.1 2.2 1.9 3.1 3.4 3.0 3.5 3.0 2.4 3.0 3.4 2.4 2.4 3.

### The solution gives detailed steps on calculating a series of statistical questions: first setting up the frequency table, then calculating the relative frequency and cumulative relative frequency. Finally, an ogive curve accompanying to the table is drawn with explanation.

Need some direction on answering the attached questions. The questions involve tables for Frequency, Relative Frequency and Cumulative Relative Frequency and plot the Ogive curve.

### Organizing and Visualizing Data

See the attached file. 2.66. The U.S. bureau of labor statistics compiles data on a wide variety of workforce issues. The following table gives the monthly seasonally adjusted civilian unemployment rate for the United States from 2001 to 2008. A. Construct a time series plot of the U.S. unemployment rate. (See the attached s

### Presenting Data in Tables and Charts

3.1 The following is a set of data from a sample of n = 5: 7 4 9 8 2 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data