39 Questions
What is the arithmetic mean of the numbers 12, 7, 2, 6, 13, 17, 14, 5, 9, 4?
9.8
What is the range a measure of?
Dispersion
What is the fourth moment about the mean for the numbers 2, 3, 4, 5, 6?
8.6
What is variance in terms of moment about the mean?
2nd
What is the term for the number of times a variable occurs?
Frequency
What is the type of data that is not listed?
Systematic
What is the harmonic mean of 6, 7, 9, 10?
7.68
What is the coefficient of variation of a sample of 130 system analysts with a mean of 60, range of 20, mode of 73, variance of 324, and median of 74?
30%
What is the modal wage of the workers in the factory?
1133.33
What is the scientific method for collecting, organizing, summarizing, presenting, and analyzing data called?
Statistics
What are the two main types of statistics?
Inductive and Descriptive
What percentage of workers earned between 800 and 1200?
30.68%
Which of the following is not correct for a moderately skewed distribution?
mode = 3(median) − 2(mode)
What is the term for the number of times a variable occurs?
Frequency
What is the range of the set of data 5, 4, 4, 3, 3, 3, 3?
2
If the median and mode of a moderately skewed distribution are 27.39 and 28.04 respectively, what is the mean?
45.13
What is the mode of the set of data 1,2,3,3,2,1,1?
3
What is the main difference between a histogram and a bar chart?
The bars are joined together in a histogram
What is a line chart of class frequency joining all the middle points of each class?
Frequency Polygon
What is the geometric mean of the set of data 2,4,6?
3.63
What is the harmonic mean of 2,4,6?
3.27
What is the arithmetic mean of 5, 5, 5, 5, 7, 7, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4?
6.31
What is the range of the set of data 20,21,23,35,37,38,40,25,28,30?
29
What is the class width for the given distribution?
10
How many students work 19 hours or less?
90
What is the relative frequency of students working 9 hours or less?
0.2
What is the cumulative relative frequency for the class of 10-19?
90
What is true about the sum of deviations of individual data elements from their mean?
sometimes greater than and sometimes less than zero
Can the professor conclude that the average age of all students in the university is 21 years based on the given information?
no
What can be said about the frequency distribution table?
it only represents one class
What is the total frequency in the given distribution?
160
What type of chart is composed of rectangles drawn separately and at equal distances?
Simple Bar Chart
What does a regression coefficient of -0.9 indicate about the relationship between x and y?
Strong and Inverse
Which method is used to estimate the regression parameters?
Ordinary Least Square
What is the coefficient of variation of 1, 3, 5, 8, 9, 10?
55%
Which of the following is not a type of mean?
Cumulative
What is referred to as the Peakedness of a distribution?
Kurtosis
What is the graphical display of the relationship between bivariate data?
Scattered Diagram
What is the advantage of the stem and leaf display over the histogram?
It retains the data information
Study Notes
Statistics Basics
- The scientific method for collecting, organizing, summarizing, presenting, and analyzing data is called Statistics.
- There are two main types of statistics: Descriptive and Inductive.
Data Presentation
- A frequency is the number of times a variable occurs.
- A range is the difference between the highest and lowest values in a dataset.
- Bar charts, histograms, and ogives are used to present data.
Charts and Graphs
- A histogram is similar to a bar chart, but the bars are joined together.
- A frequency polygon is a line chart of class frequencies joining all the middle points of each class.
- An ogive is a cumulative frequency graph.
Measures of Central Tendency
- The mean is the average value of a dataset.
- The mode is the most frequently occurring value in a dataset.
- The median is the middle value of a dataset when it is arranged in order.
- The geometric mean is used to find the average of a set of data that is not additive.
Measures of Dispersion
- The range is a measure of dispersion.
- The mean deviation is the sum of the absolute differences between each data point and the mean, divided by the number of data points.
- The standard deviation is a measure of dispersion that is used to calculate the spread of a dataset.
Regression Analysis
- The coefficient of variation is a measure of the relative dispersion of a dataset.
- Regression analysis is used to find the relationship between two variables.
- The coefficient of determination (r^2) measures the strength of the relationship between two variables.
Skewness and Kurtosis
- Skewness measures the asymmetry of a dataset.
- Kurtosis measures the peakedness of a dataset.
- A distribution can be leptokurtic (peaked), platykurtic (flat), or mesokurtic (normal).
Data Collection
- There are two main sources of data collection: Primary and Secondary.
- Primary data is collected firsthand, while secondary data is collected from existing sources.
Data Analysis
- The arithmetic mean is a measure of central tendency.
- The harmonic mean is used to find the average of a set of data that is not additive.
- The coefficient of variation is a measure of the relative dispersion of a dataset.
Stem and Leaf Display
- A stem and leaf display is a graphical representation of a dataset.
- The stem is the leading digit(s) of a data point, and the leaf is the remaining digit(s).
Percentiles and Quartiles
- Percentiles are the values that divide a dataset into 100 equal parts.
- Quartiles are the values that divide a dataset into 4 equal parts.
- Deciles are the values that divide a dataset into 10 equal parts.
This quiz covers basic concepts in statistics, including the scientific method, types of statistics, and data analysis terms. Test your knowledge of statistical methods and concepts!
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