Calculating Mean, Median, and Mode of a Histogram
90.4 هزار بار بازدید -
6 سال پیش
-
If you don’t really care
If you don’t really care to hear explanations and just want to see the math process click on the following time links to take you to that spot in the video
Median: 04:00 and 21:12
Mean: 12:18 and 24:10
Mode: 17:36 and 26:20
So this video starts out explaining the different types of histograms that you will commonly see. There are basically histograms that have equal class widths and then there are histograms that do not have equal class widths.
Histograms with equal class widths are most commonly seen in the business industry and the way a graph is labeled matters. If an only if you have class intervals of the same width is it acceptable to label the y-axis as frequency denoting how many values are in a particular class interval.
To find the Median of a histogram, the process relies on summing the area of each bar together to find a total area being represented, the median is half the value of the total area. The video will go into detail on how to then calculate the estimated median based on frequency height and the area remainder.
Mean: The mean is found by multiplying the frequency of each class interval by its frequency then dividing by the total sample frequency.
Mode: The mode is found by making a system of equations. First locate the modal class. Once that is done you will take the low input of the modal class and connect if with the next classes low input just past the modal class, then you will draw a line connecting the modal classes highest input to the previous classes highest input. The points you will use to connect will come from the top corners of the bars in the histograms. Once you have you two lines drawn you will simply estimate the input of the intersection point to get an idea of what the mode is around.
If you have any questions please post them below in the comments section or if you have any video requests feel free to post those below as well.
Cheers and have a good day
Median: 04:00 and 21:12
Mean: 12:18 and 24:10
Mode: 17:36 and 26:20
So this video starts out explaining the different types of histograms that you will commonly see. There are basically histograms that have equal class widths and then there are histograms that do not have equal class widths.
Histograms with equal class widths are most commonly seen in the business industry and the way a graph is labeled matters. If an only if you have class intervals of the same width is it acceptable to label the y-axis as frequency denoting how many values are in a particular class interval.
To find the Median of a histogram, the process relies on summing the area of each bar together to find a total area being represented, the median is half the value of the total area. The video will go into detail on how to then calculate the estimated median based on frequency height and the area remainder.
Mean: The mean is found by multiplying the frequency of each class interval by its frequency then dividing by the total sample frequency.
Mode: The mode is found by making a system of equations. First locate the modal class. Once that is done you will take the low input of the modal class and connect if with the next classes low input just past the modal class, then you will draw a line connecting the modal classes highest input to the previous classes highest input. The points you will use to connect will come from the top corners of the bars in the histograms. Once you have you two lines drawn you will simply estimate the input of the intersection point to get an idea of what the mode is around.
If you have any questions please post them below in the comments section or if you have any video requests feel free to post those below as well.
Cheers and have a good day
6 سال پیش
در تاریخ 1396/12/20 منتشر شده
است.
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