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Univariate data

Student learning objectives

  • The student will design and carry out a survey.
  • The student will analyze and graphically display the results of the survey.


As you complete each task below, check it off. Answer all questions in your summary.
____ Decide what data you are going to study.

Here are two examples, but you may NOT use them: number of M&M's per bag, number of pencils students have in their backpacks.

____ Are your data discrete or continuous? How do you know?
____ Decide how you are going to collect the data (for instance, buy 30 bags of M&M's; collect data from the World Wide Web).
____ Describe your sampling technique in detail. Use cluster, stratified, systematic, or simple random (using a random number generator) sampling. Do not use convenience sampling. Which method did you use? Why did you pick that method?
____ Conduct your survey. Your data size must be at least 30.
____ Summarize your data in a chart with columns showing data value, frequency, relative frequency and cumulative relative frequency.
Answer the following (rounded to two decimal places):
  1. x ¯ = _____
  2. s = _____
  3. First quartile = _____
  4. Median = _____
  5. 70 th percentile = _____
____ What value is two standard deviations above the mean?

____ What value is 1.5 standard deviations below the mean?
____ Construct a histogram displaying your data.
____ In complete sentences, describe the shape of your graph.
____ Do you notice any potential outliers? If so, what values are they? Show your work in how you used the potential outlier formula to determine whether or not the values might be outliers.
____ Construct a box plot displaying your data.
____ Does the middle 50% of the data appear to be concentrated together or spread apart? Explain how you determined this.
____ Looking at both the histogram and the box plot, discuss the distribution of your data.

Assignment checklist

You need to turn in the following typed and stapled packet, with pages in the following order:

  • Cover sheet : name, class time, and name of your study
  • Summary page : This should contain paragraphs written with complete sentences. It should include answers to all the questions above. It should also include statements describing the population under study, the sample, a parameter or parameters being studied, and the statistic or statistics produced.
  • URL for data, if your data are from the World Wide Web
  • Chart of data, frequency, relative frequency, and cumulative relative frequency
  • Page(s) of graphs: histogram and box plot

Continuous distributions and central limit theorem

Student learning objectives

  • The student will collect a sample of continuous data.
  • The student will attempt to fit the data sample to various distribution models.
  • The student will validate the central limit theorem.


As you complete each task below, check it off. Answer all questions in your summary.

Part i: sampling

____ Decide what continuous data you are going to study. (Here are two examples, but you may NOT use them: the amount of money a student spent on college supplies this term, or the length of time distance telephone call lasts.)
____ Describe your sampling technique in detail. Use cluster, stratified, systematic, or simple random (using a random number generator) sampling. Do not use convenience sampling. What method did you use? Why did you pick that method?
____ Conduct your survey. Gather at least 150 pieces of continuous, quantitative data .
____ Define (in words) the random variable for your data. X = _______
____ Create two lists of your data: (1) unordered data, (2) in order of smallest to largest.
____ Find the sample mean and the sample standard deviation (rounded to two decimal places).

  1. x ¯ = ______
  2. s = ______
____ Construct a histogram of your data containing five to ten intervals of equal width. The histogram should be a representative display of your data. Label and scale it.

Questions & Answers

probability sampling
Rosy Reply
dicuss probability sampling
given that a sample is normally distributed with M=10 sd=8 determine
disscuss probability sampling
Discuss probability sampling
What is mean
Probability sampling is based on the fact that every member of a population has a known and equal chance of being selected. For example, if you had a population of 100 people, each person would have odds of 1 out of 100 of being chosen. With non-probability sampling, those odds are not equal.
The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.  To calculate it:  • add up all the numbers, • then divide by how many numbers there are. Example: what is the mean of 2, 7 and 9? Add the numbers: 2 + 7 + 9 = 18 Divide by how many numbers, 3 you
get 6
guidelines of designing a table
you can find that information on this website there is a lot of information. It's about interpreting what the concept of information & data you are getting from the graph and understanding how to read the graph and analyze the information. ***understandinggraphics.com/design/data-table-design/
Frequency find questions
Rimsha Reply
What is nominal variable
olusola Reply
Write short notes on, nominal variable, ordinal variable, internal variable, ratio variable.
P( /x-50/ less than or equal to 5 ) where mean =52 and Variance =25
Jay Reply
how I get the mcq
Mukesh Reply
please what is data mining
Josephine Reply
the exploration and analysis of large data to discover meaningful patterns and rules
how do we calculate the median
All Reply
f(x)=cx(1-x)^4 as x range 4rm 0<=x<=1. Can someone pls help me find d constant C. By integration only..
Akeem Reply
uses of statistics in Local Government
Saleema Reply
state road transport corporation
District statistical officer
statistical services
Please is this part of the IMT program
testing of drugs
hii 2
How about population census
Hello every one
sample survey is done by local government in each and every field.
statistics is used in almost every government organisations such as health department, economic department, census, weather forecasting fields
that's true
statistics is one of the tool that represents the falling and rising of any cases in one sheet either that is in population census whether forecast as well as economic growth
statistic is a technique, and statistics is a subject
what is business statistics
PM Reply
Probability tells you the likelihood of an event happening. ... The higher the probability, the more likely it is to happen. Probability is a number or fraction between 0 and 1. A probability of 1 means something will always happen, and a probability of 0 means something will never happen...
La Reply
Saying it's a number between zero and one means it is a fraction so you could remove "or fraction" from you definition.
wouldn't be correct to remove fractions, saying a number is justified as probabilities can also be decimals between 0 and 1.
Saying "a number" will include it being a decimal which are themselves fractions in another form.
I will simply say a probability is a number in the range zero to one, inclusive.
How to delete an entry? This last one was a pocket print.
what is probability
sky-D Reply
chance of occurrence
what is data
Muhd Reply
raw facts and figures
information of any kind
What is Statistic
ibrahim Reply
what statistical analysis can i run on growth and yield of spinach.
format of the frequency distribution table
what is pearson correlation coefficient indicates?
Statistic is the mean of the sample.
can anyone determine the value of c and the covariance and correlation for the joint probability density function Fxy(x,y)=c over the range 0<x<5,0<y,and x-1<y<x-1.
what actually is the definition of range
Chinedu Reply
I need social statistics materials
the range of a set of data is the difference between the largest and smallest values
I need more explanation about cluster sampling

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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