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Statistics Review Mode: the number that occurs most frequently in the data set (could have more than 1) Median : the value when the data set is listed from least to greatest that falls in the middle (middle number). 50% of the data is at or below this value. 50% of the data is at or above this value Mean: the sum of all the values divided by the number of values in data set. Also know as the average Range: the maximum value – the minimum value
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Types of Data Univariate data, or one ‑ variable data, involves a single variable and allows you to describe something. There are two different types of univariate data—categorical and quantitative. https://youtu.be/43n2Xhzmago
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Organizing Data Frequency Tables: helps us to organize categorical or quantitative data to display how frequently it occurs(mode). A frequency table is created by making a table with separate columns. One column is designated for categories or intervals and the other for frequency.
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Representing Data Organizing data in different ways lets us understand the data better. Data by itself is just a set of numbers – our job as mathematicians is to tell the story of the data. 3 ways to represent: dot plots, histograms and box plots
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Representing Data: Dot Plots A graphical display of data using dots. Helps to organize categorical data to display how frequently it occurs (mode) Tells us the number of data points in different categories. -Data can be chunked to make categories (every 10 points on a test can be a category, for example - # of students who score in the 60’s, 70’s etc.)
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Representing Data: Histograms Similar to a dot plot, but uses bars to show frequency of data (mode) for different intervals. Helps us organize quantitative data into intervals
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How to create a histogram IMPORTANT TO NOTE: When creating a histogram on graphing calculator, you can not use minimum value from data set it would have to be a number that is smaller than minimum value. https://youtu.be/rhCq0Xcvg_E
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Representing Data: Box Plots
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How to create a box plot 1.Put the data in numerical order (low to high) 2.Find the median (middle) number 3.Find the lower quartile (the median/middle of the lower half of the numbers 4.Find the upper quartile (the median/middle of the upper half of the numbers 5.Plot a number line 6.Plot the minimum, lower quartile, median, upper quartile and maximum. Turn and Talk: 1. Which test has a higher median? Calculate and interpret the interquartile range for each test?
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How to create a box plot Even vs Odd set of data https://youtu.be/Wk8bTqWtf6o
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