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How to find the mean, median, range, IQR, and standard deviation of a line and a stacked bar graph?

5 viewed last edited 1 year ago
Anonymous
0

Doing statistics in algebra we've covered most mainstream graphs (coming to things like range, IQR, etc.) with the exception of line and stacked bar graphs. Two of these graphs presented below are examples of graphs I am to work with. How do I calculate things such as the mean, median, and range (and as a result things like IQR and standard deviation).

Mahesh Godavarti
2

The line and bar graphs plot the data points against time. Convert these line and bar graphs into data sets you can work with. This, unfortunately, will mean reading the data points of the figure.


First read the following links for figuring out how to calculate IQR, mean, median and standard deviation of a data set.


Mean - https://www.mathsisfun.com/mean.html

Median - https://www.mathgoodies.com/lessons/vol8/median

IQR - https://www.statisticshowto.datasciencecentral.com/probability-and-statistics/interquartile-range/

SD - https://www.dummies.com/education/math/statistics/how-to-calculate-standard-deviation-in-a-statistical-data-set/ (note that average and mean refer to the same quantity)


Here is one of the created data sets for you from the figures (note that these are approximate numbers that I got from simple eyeballing - you can do a better job by using a ruler). The axis and scale for the number of immigrants is on the right side of the figure. The axis and scale for immigrants as percentage is on the left side of the figure


Year   Number of Immigrants (in millions)

1850  2.5

1860  4.0

1870  5.0

1880  6.0

1890  9.5

1900  10.0

1910  13.5

1920  14.0

1930  14.5

1940  11.5

1950  10.5

1960  10.0

1970  10.0

1980  14.5

1990  20.0

2000  31.0

2010  40.0

2018  45.0


Now, you have 18 data points in your data set. Simply, use what you know about calculating the mean, median, SD and IQR.


You can generate a data set for immigrants as a percentage in a similar fashion.


For the other figure, you have 4 sets of data.


Data set 1 (African American immigrants as a percentage of total number of immigrants)

1960  0

1970  1

2013  4


Data set 2 (European American immigrants as a percentage of total number of immigrants)

1960  67

1970  58

2013  13


Etc.


Note that for these data sets calculating the mean, median etc. is not useful as there are only 3 data points in each set. You can instead refer to trends such as the percentage of European Americans has declined rapidly, where as the percentage of Latin American immigrants has risen sharply.


Qalaxia Knowlege Bot
0

I found an answer from psb.stanford.edu

BIOCOMPUTING 2019


Oct 22, 2018 ... Automatic Human-like Mining and Constructing Reliable Genetic ..... We are particularly grateful to the onsite PSB staff Al Conde, Paul Murray .... statistical analysis in a distributed manner across multiple sites. ...... The left plot in Figure 4 shows ...... and marks denote median, interquartile range, and outliers, ...


For more information, see BIOCOMPUTING 2019

Qalaxia Knowlege Bot
0

I found an answer from en.wikipedia.org

Wikipedia talk:WikiProject Mathematics/Archive2016 - Wikipedia


I have listed at Wikipedia:Files for discussion/2016 January 1 an angle ... I'd like to bring the matter up here, rather than at the article talk pages, to see if any of the .... and brought articles names in line with the proper usage, as showcased in the .... There is a discussion here about renaming the article Graph (mathematics).


For more information, see Wikipedia talk:WikiProject Mathematics/Archive2016 - Wikipedia