Transcript: Histogram (& Giovanni Lanzarin) http://www.mathsisfun.com/data/histograms.html Histograms are a great way to show results of continuous data, such as: What is it? A Histogram is a graphical display of data using bars of different heights. It is similar to a Bar Chart, but a histogram groups numbers into ranges. Example: Dress Shop Survey Here I have added up how often 1 occurs (2 times), how often 2 occurs (5 times), etc, and shown them as a histogram. A Frequency Histogram is a special histogram that uses vertical columns to show frequencies (how many times each score occurs): Bibliography You asked customers who bought one of the "Aurora" range of skirts how old they were. The ages were from 5 to 25 years old. You decide to put the results into groups of 5: The 1 to 5 years old range, The 6 to 10 years old range, etc... - weight - height - how much time etc. Use? Goal Octavio Robles A01227826 Oscar Ríos A01229111 Luis Palomino A01228574 Rubén Camacho A01227837 But if your data is in categories (such as Country or Favorite Movie), then you should use a Bar Chart. So when someone says "I am 17" you add 1 to the "16-20" range.
Transcript: HISTOGRAM A histogram is a graph, that displays data from a frequency table. A histogram represents "data over time". A historgr often looks like a bar graph, the columns on the histogram touch ; this graph is best for representing data marked by intervals of time. It is an estimate of the probability distribution of a continuous variable. consists of tabular frequencies, shown as adjacent rectangles, erected over discrete intervals, with an area equal to the frequency of the observations in the interval 1-Title describes the information that is contained in the Histogram 2- Horizontal/ X-axis shows you the scale of values into which the measurements fit. Generally grouped into intervals to help you summarize large data sets. 3-Bars has 2 important characters- Height and Width. the Height represents the number of times the values occurred. The Width represents the length of the interval covered by the bar 4-Vertical/ Y-axis shows you the number of times the values in an interval occurred. 5-Legend provides additional information that documents where the data came from and how the measurements were gathered Thank You for listening attentively :D Blake Kucinski Jake Tecco Hanna Reljin Austin Pettay Ella Foutz a.Count the total number of data points b.Summarize your data on a tally sheet -Identify all different values found in the View graph, organize these values from smallest to largest. -Then make a tally mark next to the value every time that value is present in the data set. -Alternatively, simply count the number of times each value is present in the data set and enter that number next to the value. c.Compute the range = Largest Value- Smallest Value d.Determine the number of intervals e.Compute the interval width f.Determine the Interval Starting Points -Use the smallest data point in your measurements as the starting point of the first interval. The starting point for the second interval is the sum of the smallest data point and the interval width. g.Count number of points in each interval h.Plot the data i.Add title and Legend Relative-uses the same information as a frequency histogram but compares each class interval to the total number of items. Cumulative-counts the cumulative number of observations in all of the bins up to the specified bins History of Histogram PREPARED BY : Karl Pearson He was the first person to present a Histogram Said to be derived from the Greek words “histos” (anything set upright) and “gramma” (drawing, record, writing). How to make conclusions with histograms (¤) 27 March 1857 in London, England (y) 27 April 1936 in Coldharbour, Surrey, England "The Father of the Science Statistics" Relative Frequency and Cumulative Histogram When dealing with large set of measurements presented in a table, you can use a Histogram to organize and display the data. A Histogram will make it easy to see where the majority of values fall in a measurement scale, and how much variation there is. To summarize large data graphically. Compare measurements to specifications Dates of Birth and Death When should we use Histogram? How to constuct a Histogram
Transcript: By. John Robert ,Yvonne Jefferson Many different types of graphs are available and useful to the improvement of process. Line graph, flow chart, pie chart and bar chart or histogram are one the examples we have. Graphs are useful for presenting data in simple pictorial, that is quickly and easily understood. Graphs serve as powerful communications tools and should be employed liberally in the workplace to describe performance, support analysis, and document the improvement process. What is histogram ? Bar Graph or Histogram Thank You ! SAMPLES Do you have any Questions ? GRAPHS ? A Histogram is a graphic summary of variation in a set of data. It enables us to see patterns that are difficult to see in a simple table of numbers. Can be analyzed to draw conclusions about the data set. A histogram is a graph in which the continuous variable is clustered into categories and the value of each cluster is plotted to give a series of bars as above. The above example reveals the skewed distribution of a set of product measurements that remain nevertheless within specified limits. Without using some form of graphic this kind of problem can be difficult to analyze, recognize or identify. HISTOGRAM
Transcript: For example: Histogram helps us to Therefore... histograms helps us to compare things a lot of things easily and faster What is histogram? when business men wants to analyze how are their business going for comparison of several experimental studies for comparison of monthly financial for survey purposes Histograms looks like work with large data sets that are much harder to analyze It is a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval HISTOGRAM
Transcript: Bar Graph VS Histogram Word `histogram’ of Greek origin `histo-s’ = `mast’ (arrangement of spars, erected more or less vertically on the centre-line of a ship or boat.) `gram-ma’ = `something written’ Introduced by Karl Pearson in 1892 for a “common form of graphical representation” 1662: Concept exists at least since then in mortality tables of J. Graunt 1786: Bar charts introduced by W. Playfair to capture Scottish imports/exports 1833: Histograms introduced by A. M. Guerry as discrete approximations to distribution functions 1859: Florence Nightingale used them to compare mortality of soldiers and civilians by: pechot luna Frequency histogram! HISTOGRAMS are a great way to show results of continuous DATA Descriptive HISTOGRAM PRE HISTORY Continous Data (measured) HISTOGRAM DEFINED Let's do the Discrete Data (counted) Reference: Yahnnis Ioannidis -University of Athens, Hellas https://www.mathsisfun.com Numerical It is similar to a Bar Chart, but a histogram groups numbers into ranges And you decide what ranges to use!
Transcript: CHARACTERISTICS Histograms are a great way to show results of continuous data, such as: weight height how much time They are easy to manipulate in order to demonstrate or support a desired conclusion; this is accomplished by using more or fewer bars to reflect the information. HISTOGRAM In a histogram, it is the area of the bar that indicates the frequency of occurrences for each bin. A histogram is most commonly a bar chart, that contains bars of equal width to illustrate a set of information It is a graphic representation of a variable in the shape of bars. A histogram is designed to provide quick apprehension of many kinds of information, including the mean, minimum and maximum values of the information plotted on the chart. It is similar to a Bar Chart, but a histogram groups numbers into ranges. add logo here
Transcript: Purpose Mathematical definition To roughly assess the probability distribution of a given variable by depicting the frequencies of observations occurring in certain ranges of values. Thus, if we let n be the total number of observations and k be the total number of bins, the histogram mi meets the following conditions: Histogram a function mi that counts the number of observations that fall into each of the disjoint categories (known as bins) Karl Pearson whereas the graph of a histogram is merely one way to represent a histogram.
Transcript: Group Six: HISTOGRAM Joy Ann Daboco Zarrah Joy Calayca Marlon Canama Jennyvie Fornillos May Ann Agana Content: What is histogram ? What is the difference between the histogram and bar graph ? Example of histogram What is HISTOGRAM? A histogram is a graphical representation of the distribution of numerical data. It is an estimate of the probability distribution of a continuous variable (quantitative variable) and was first introduced by Karl Pearson. First Introduced Histogram To construct a histogram, the first step is to "bin" the range of values—that is, divide the entire range of values into a series of small intervals—and then count how many values fall into each interval. A rectangle is drawn with height proportional to the count and width equal to the bin size, so that rectangles about each other. A histogram may also be normalized displaying relative frequencies. It then shows the proportion of cases that fall into each of several categories, with the sum of the heights equaling 1. The bins are usually specified as consecutive, non-overlapping intervals of a variable. What is the difference between the histogram and bar graph ? BAR GRAPH Usually used to display “ categorical data “ that is data that fits into category It is made up of columns plotted on a graph The columns are positioned over a label that represents a categorical variable The height of the column indicates the size of the group defined by the column label HISTOGRAM Usually used to present “ continuous data “ that is data represents measured quantity where, at least in theory, the number can take on any value in a certain range. It is made up of a column plotted on a graph. Usually, there is no space between adjacent columns. The columns are positioned over a label that represents a quantitative variable The column label can be a single value or a range of values The height of the column indicates the size of the group defined by the column label. HISTOGRAM BAR GRAPH EXAMPLE OF HISTOGRAM The scores of Pre-test and IQ test of 1st year Day and Evening IE Program END OF REPORT THANK YOU HISTOGRAM
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