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Go to [link] . There are calculator instructions for entering data and for creating a customized histogram. Create the histogram for [link] .

  • Press Y=. Press CLEAR to delete any equations.
  • Press STAT 1:EDIT. If L1 has data in it, arrow up into the name L1, press CLEAR and then arrow down. If necessary, do the same for L2.
  • Into L1, enter 1, 2, 3, 4, 5, 6.
  • Into L2, enter 11, 10, 16, 6, 5, 2.
  • Press WINDOW. Set Xmin = .5, Xscl = (6.5 – .5)/6, Ymin = –1, Ymax = 20, Yscl = 1, Xres = 1.
  • Press 2 nd Y=. Start by pressing 4:Plotsoff ENTER.
  • Press 2 nd Y=. Press 1:Plot1. Press ENTER. Arrow down to TYPE. Arrow to the 3 rd picture (histogram). Press ENTER.
  • Arrow down to Xlist: Enter L1 (2 nd 1). Arrow down to Freq. Enter L2 (2 nd 2).
  • Press GRAPH.
  • Use the TRACE key and the arrow keys to examine the histogram.

Try it

The following data are the number of sports played by 50 student athletes. The number of sports is discrete data since sports are counted.

1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1
2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2; 2
3; 3; 3; 3; 3; 3; 3; 3
20 student athletes play one sport. 22 student athletes play two sports. Eight student athletes play three sports.

Fill in the blanks for the following sentence. Since the data consist of the numbers 1, 2, 3, and the starting point is 0.5, a width of one places the 1 in the middle of the interval 0.5 to _____, the 2 in the middle of the interval from _____ to _____, and the 3 in the middle of the interval from _____ to _____.

1.5 to 2.5
2.5 to 3.5

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Using this data set, construct a histogram.

Number of Hours My Classmates Spent Playing Video Games on Weekends
9.95 10 2.25 16.75 0
19.5 22.5 7.5 15 12.75
5.5 11 10 20.75 17.5
23 21.9 24 23.75 18
20 15 22.9 18.8 20.5
This is a histogram that matches the supplied data. The x-axis consists of 5 bars in intervals of 5 from 0 to 25. The y-axis is marked in increments of 1 from 0 to 10. The x-axis shows the number of hours spent playing video games on the weekends, and the y-axis shows the number of students.

Some values in this data set fall on boundaries for the class intervals. A value is counted in a class interval if it falls on the left boundary, but not if it falls on the right boundary. Different researchers may set up histograms for the same data in different ways. There is more than one correct way to set up a histogram.

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Try it

The following data represent the number of employees at various restaurants in New York City. Using this data, create a histogram.

  • 22
  • 35
  • 15
  • 26
  • 40
  • 28
  • 18
  • 20
  • 25
  • 34
  • 39
  • 42
  • 24
  • 22
  • 19
  • 27
  • 22
  • 34
  • 40
  • 20
  • 38
  • and 28

Use 10–19 as the first interval.

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Count the money (bills and change) in your pocket or purse. Your instructor will record the amounts. As a class, construct a histogram displaying the data. Discuss how many intervals you think is appropriate. You may want to experiment with the number of intervals.

Frequency polygons

Frequency polygons are analogous to line graphs, and just as line graphs make continuous data visually easy to interpret, so too do frequency polygons.

To construct a frequency polygon, first examine the data and decide on the number of intervals, or class intervals, to use on the x -axis and y -axis. After choosing the appropriate ranges, begin plotting the data points. After all the points are plotted, draw line segments to connect them.

A frequency polygon was constructed from the frequency table below.

Frequency Distribution for Calculus Final Test Scores
Lower Bound Upper Bound Frequency Cumulative Frequency
49.5 59.5 5 5
59.5 69.5 10 15
69.5 79.5 30 45
79.5 89.5 40 85
89.5 99.5 15 100
A frequency polygon was constructed from the frequency table below.

The first label on the x -axis is 44.5. This represents an interval extending from 39.5 to 49.5. Since the lowest test score is 54.5, this interval is used only to allow the graph to touch the x -axis. The point labeled 54.5 represents the next interval, or the first “real” interval from the table, and contains five scores. This reasoning is followed for each of the remaining intervals with the point 104.5 representing the interval from 99.5 to 109.5. Again, this interval contains no data and is only used so that the graph will touch the x -axis. Looking at the graph, we say that this distribution is skewed because one side of the graph does not mirror the other side.

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Questions & Answers

what is standard deviation?
Jawed Reply
It is the measure of the variation of certain values from the Mean (Center) of a frequency distribution of sample values for a particular Variable.
Yeah....the simplest one
what is the number of x
Godgift Reply
Javed Arif
how will you know if a group of data set is a sample or population
Kingsley Reply
population is the whole set and the sample is the subset of population.
if the data set is drawn out of a larger set it is a sample and if it is itself the whole complete set it can be treated as population.
hello everyone if I have the data set which contains measurements of each part during 10 years, may I say that it's the population or it's still a sample because it doesn't contain my measurements in the future? thanks
Pls I hv a problem on t test is there anyone who can help?
What's your problem Peggy Abang
Bhavika is right
what is the problem peggy?
hii Bhavika
Hi eny population has a special definition. if that data set had all of characteristics of definition, that is population. otherwise that is a sample
three coins are tossed. find the probability of no head
Kanwal Reply
three coins are tossed consecutively or what ?
p(getting no head)=1/8
or .125 is the probability of getting no head when 3 coins are tossed
what is two tailed test
Umar Reply
if the diameter will be greater than 3 cm then the bullet will not fit in the barrel of the gun so you are bothered for both the sides.
in this test you are worried on both the ends
lets say you are designing a bullet for thw gun od diameter equals 3cm.if the diameter of the bullet is less than 3 cm then you wont be able to shoot it
In order to apply weddles rule for numerical integration what is minimum number of ordinates
Anjali Reply
excuse me?
didn't understand the question though.
which question? ?
We have rules of numerical integration like Trapezoidal rule, Simpson's 1/3 and 3/8 rules, Boole's rule and Weddle rule for n =1,2,3,4 and 6 but for n=5?
geometric mean of two numbers 4 and 16 is:
iphone Reply
quartile deviation of 8 8 8 is:
sorry 8 is the geometric mean of 4,16
quartile deviation of 8 8 8 is
can you please expalin the whole question ?
can you please post the picture of that ?
10 now
how to find out the value
srijth Reply
can you be more specific ?
what is the difference between inferential and descriptive statistics
Eze Reply
descriptive statistics gives you the result on the the data like you can calculate various things like variance,mean,median etc. however, inferential stats is involved in prediction of future trends using the previous stored data.
if you need more help i am up for the help.
Thanks a lot
Inferential Statistics involves drawing conclusions on a population based on analysis of a sample. Descriptive statistics summarises or describes your current data as numerical calculations or graphs.
my pleasure😊. Helping others offers me satisfaction 😊
for poisson distribution mean............variance.
mehul Reply
both are equal to mu
what is a variable
Bonolo Reply
something that changes
why we only calculate 4 moment of mean? asked in papers.
Faizan Reply
why we only 4 moment of mean ? asked in BA exam
Good evening, can you please help me by sharing regression and correlation analysis notes....thank you in advance
Refiloe Reply
Hello, can you please share the possible questions that are likely to be examined under the topic: regression and correlation analysis.
for normal distribution mean is 2 & variance is 4 find mu 4?
Faizan Reply
repeat quastion again
find mu 4. it can be wrong but want to prove how.
for a normal distribution if mu 4 is 12 then find mu 3?
Faizan Reply
Question hi wrong ha
ye BA mcqs me aya he teen he. 2dafa aya he
if X is normally distributed. (n,b). then its mean deviation is?
The answer is zero, because all odd ordered central moments of a normal distribution are Zero.
which question is zero
sorry it is (5,16) in place of (n,b)
I got. thanks. it is zero.
a random variable having binomial distribution is?

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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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