How to construct a frequency distribution table of quantitative data, in particular choosing your class width and figuring out your lower and upper class limits. Although there are no hard and fast rules for doing this, this video gives you some guidelines for how to do it correctly.

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Ann Defranco

In this video the first step of making a frequency distribution is demonstrated.

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Diane R Koenig

To understand graphs and ways to measure central tendency, please visit https://DontMemorise.com .
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Don't Memorise

What is class width in a frequency distribution?

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Steve Mays

This video covers how to use the "2^k" rule to determine the number of classes for a frequency distribution. Remember when determining the width of your classes to round up to the nearest whole integer. For more videos please visit http://www.mysecretmathtutor.com

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MySecretMathTutor

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Learn About - Handling Data Problem on class interval| class size - Data Handling - Maths - Class 8/VIII - ISCE|CBSE

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Arinjay Academy

Determine the class width and the size of the data set from a histogram.

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Emporium Mathematics

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How to Find the Class Boundaries in a Frequency Table with Decimals

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The Math Sorcerer

This Maths video explains how to draw histogram when the class widths are different. This video is meant for students studying in class 9 and 10 in CBSE/NCERT and other state boards.
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Bodhaguru

This video details the steps to be followed in order to construct a Grouped Frequency Distribution from a Raw Data Set. The details four instructive steps.
Please note a small error, although this does not take away from the conceptual idea. The class interval is calculated as (76/6) when it should be (72/6).

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Maths and Stats

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Get the full course at: http://www.MathTutorDVD.com
In this lesson, we'll discuss the concept of the confidence interval in statistics. We'll solve a few problems where we must calculate the confidence interval of a population mean when given information such as the sample size, margin of error, and the sample mean.

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mathtutordvd

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Calculating the Mean using Step deviation method

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This video covers how to make a relative frequency distribution chart. Remember that in a relative frequency distribution we scale back the frequency using the total frequency. Depending on rounding, the total relative frequency might not be one, but should be very close. For more videos please visit http://www.mysecretmathtutor.com

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Business Statistics Lecture 2

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Calculating Mean for grouped data when class intervals are of unequal lengths

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Some students are confused on how to sort data into class intervals or "bins" in Excel. This video explains a method to easily choose bins.
(Recorded with http://screencast-o-matic.com)

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Scott Dellinger

How to compute the median for grouped data.

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Escol Emmanuel

This video covers how to find the weighted mean for a set of data. Remember that each data point is multiplied by a given weight, and then divided by the total weight. for more videos visit http://mysecretmathtutor.com

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MySecretMathTutor

This tutorial is all about How to find Class Boundaries in Easiest Way of Grouped Data.

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JUST 4 Frendz

Learn how to find the median of a continuous frequency distribution from this video.
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Tutorial on how to calculate z scores. A z score measures the distance, in standard deviations, a specific observation is from the mean.
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Go to http://www.examsolutions.net/ for the index, playlists and more maths videos on class intervals, histograms, standard deviation and other maths and statistics topics.

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Simple, easy to understand math videos aimed at High School students.

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Joel Speranza Math

As a review of 6th grade statistics concepts, I show how to make a histogram using quiz scores as data. In a histogram, data is grouped into "bins". Before we can do that, we need to calculate the bin width. Simply find the range (maximum - minimum) and divide that by how many bins you'd like to have. A rough guideline for the number of bins is: take the square root of the number of data values you have. In this case, I have 20 data values, and square root of 20 is between 4 and 5, so 4-5 bins is reasonable.
I also discuss the central tendency (using mean) and the variability (using mean absolute deviation) of the data.
The 2nd part of this lesson (where we look at a box-and-whisker plot and more data analysis) is at https://www.youtube.com/watch?v=Bk_w0euUZcM
This lesson can be used in 6th grade (when students learn to make histograms) or in 7th grade (for review).
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Math Mammoth

Tutorial on calculating the standard deviation and variance for statistics class. The tutorial provides a step by step guide.
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statisticsfun

Learn how to draw a histogram. Get more videos of maths problem solving at http://www.meritnation.com/products/demo/online
In the video, age distribution of a group of persons which class widths are not uniform is represented in the form of histogram by adjusting the frequencies.

Views: 77559
Meritnation

This is when you having confusions what is the proportional class size to your data size, how to determine your class size with 2k rule.

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Allan Dell

How to draw a histogram when class intervals are not same ll NCERT cbse class 9 maths statistics
How to draw a histogram of different class widths
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Check us out at http://math.tutorvista.com/statistics/mode.html
Mode of Data
In Statistics Mean, Median and Mode are known as the measures of central tendencies. The mode of a given set of data is the observation with the maximum frequency.
The first step towards finding the mode of the grouped data is to locate the class interval with the maximum frequency. The class interval corresponding to the maximum frequency is called the modal class. The mode of this data is calculated using the formula
Mode = l + h x (f1 f0) / (2f1 f0 f2),
Where, l is the lower class limit of the modal class
h stands for the class size assuming that all class intervals have the same class size.
f1 stands for the frequency of the modal class.
f0 stands for the frequency of the class preceding or just before the modal class.
f2 stands for the frequency of the class succeeding or just after the modal class.
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TutorVista

Go to http://www.examsolutions.net/ for the index, playlists and more maths videos on histograms and other maths topics.

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ExamSolutions

STATISTICS Class 9 chapter 14 Question 7 of Exercise 14.3 (NCERT) Frequency polygon for non continuous class interval
Every day we come across a wide variety of information’s in the form of facts, numerical figures, tables, graphs, etc. These are provided by newspapers, televisions, magazines and other means of communication. These may relate to cricket batting or bowling averages, profits of a company, temperatures of cities, expenditures in various sectors of a five year plan, polling results, and so on. These facts or figures, which are numerical or otherwise, collected with a definite purpose are called data. Data is the plural form of the Latin word datum. Of course, the word ‘data’ is not new for you.
Our world is becoming more and more information oriented. Every part of our lives utilises data in one form or the other. So, it becomes essential for us to know how to extract meaningful information from such data. This extraction of meaningful information is studied in a branch of mathematics called Statistics.
The word ‘statistics’ appears to have been derived from the Latin word ‘status’ meaning ‘a (political) state’. In its origin, statistics was simply the collection of data on different aspects of the life of people, useful to the State. Over the period of time, however, its scope broadened and statistics began to concern itself not only with the collection and presentation of data but also with the interpretation and drawing of inferences from the data. Statistics deals with collection, organisation, analysis and interpretation of data. The word ‘statistics’ has different meanings in different contexts.
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Jordan Horwitz

This statistics video tutorial explains how to use the standard deviation formula to calculate the population standard deviation. The formula for the sample standard deviation is also provided. This video shows you the variables associated with the sample mean and the population mean. In addition, it discusses how to calculate variance from standard deviation.

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The Organic Chemistry Tutor

Tutorial on how to calculate t statistics for different or unrelated groups (means of different groups). Includes step by step prices of how to calculate t statistics, degrees of freedom, and look up t values.
Playlist on t statistics
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statisticsfun

Chapter 2.2 Organizing and Graphing Quantitative Data
Class- For quantitative data an interval that includes all the values that fall within two numbers-the lower and upper limits.
Lower Limit-Smallest Value in the class
Upper Limit-Largest limit in the class
Frequency Distribution for Quantitative Data-A frequency Distribution for quantitative data lists all the classes and the number of values that belong to each class. Data presented in the form of a frequency distribution are called grouped data.
Class Boundary-A Class Boundary is given by the midpoint of the upper limit of one class and the lower of the next class
Class Size (Width)-The difference between the two Boundaries of a class width (size). Although it is not uncommon to have classes of different sizes, most of the time it is preferable to have the same width for all classes. To determine the classes are the same size, first find the difference between the largest and the smallest values in the data. Then, the approximate width of a class is obtained by dividing this difference by the number of desired classes.
Calculation of class width:
Largest Value -- Smallest Value
Approximate Width = --------------------------------------------
Number of Classes
Class Midpoint (Mark) -- is obtained by dividing the sum of the two limits (or the two boundaries) of a class by 2.
Histogram -- A histogram is a graph in which classes are marked on the horizontal axis and the frequencies, relative frequencies, or percentages are marked on the vertical axis. The frequencies, relative frequencies, or percentages are represented by the heights of the bars. In a histogram, the bars are drawn adjacent to each other.
Polygon -- is another device that can be used to present quantitative data in a graphic form. To draw a frequency polygon, we first mark a dot above the midpoint of each class at a height equal to the frequency of that class.
A polygon is formed by joining the midpoints of the tops of successive bars in a histogram w/ straight lines.
Number of classes: Usually the number of classes for a frequency dist. Table varies from 5 to 20, depending mainly on the number of observations in the data set. It is preferable to have more classes as the size of a data set increases. The decision about the number of classes is arbitrarily made by the data organizer.
(C = # of classes) what teacher gave
(C=1 + 3.3 log n) -- in bk
Calculation of class width
Lower limit of first class -- any convenient number that is equal to or less than the smallest value in the data set can be used as the lower limit of the first class.
(refer to ex 2-3 on pg. 39) for ex.
Calculating relative frequency and percentage
Relative frequency of class = frequency of that class / sum of all frequencies -- f / Ef
Percentage = Relative frequency multiplied by 100%
Histogram -- can assume any one large # of shapes: most common of these shapes are:
Symmetric
Skewed
Uniform
Symmetric histogram -- is identical on both sides of its central point. The histogram is shown below.
Skewed histogram -- is nonsymmetric for a skewed histogram, the tail on one side is longer than the tail on the other side. A skewed to the right histogram has a longer tail on the right side. A skewed to the left histogram has a longer tail on the left side.
Uniform histogram or rectangular histogram has the same frequency for each class.
Fooling the reader -- rescribing data using graphs give us insights into the main characteristics of the data. But graphis, unfortunately , can also be used intentionally or unintentionally, to distort the facts and deceive the reader. The following are two ways to manipulate graphs to convey a particular opinion or impression.
1. Changing the scale -- Either on one or on both axes -- that is, shortening or stretching one or both of the axes.
2. Truncating the frequency axis -- that is, starting the frequency axis at a number greater than zero.
• When interpreting a graph, we should be very cautious. We should observe carefully whether the frequency axis has been truncated or whether any axis.

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snorky776

Using Microsoft Excel to calculate Standard Deviation, Mean, and Variance.
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statisticsfun

Measures of Spread - Standard Deviation, Percentile, Z-Score, Quartiles and Box-Whisker Plots : https://www.youtube.com/playlist?list=PLJ-ma5dJyAqprvhO3Ki6LrW7kR1U-s1pL
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Anil Kumar

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Letstute

A few simple rules for choosing bin sizes for histograms.

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Stephanie Glen