To find the lower quartile (Q1) on a dot plot, first, arrange the data points in ascending order. Then, identify the median of the lower half of the data, which includes all values below the overall median. Q1 is the median of this lower half, representing the 25th percentile. If there is an even number of values in the lower half, average the two middle values to determine Q1.
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The sides of the box are the quartile values: the left is the first quartile and the right is the third quartile. The width, therefore is the interquartile range.
the box shows you the range of #s from the lower quartile to the upper quartile. the wiskers show you all of the #s outside of the box.
the number in your piece of data = n lower quartile, n+1 divided by 4 upper quartile, n+1 divded by 4 and times by three interquartile range(IQR) = upper quartile - lower quartile outliers(O) = interquartile range x 1.5 lower than IQR-O is an outlier (h) above IQR+O is an outlier (h) the outliers on your box plot are any numbers that are the value i have named (h) ^
lower extreme,upper extreme,upper quartile, lower quartile, and the median
To find the limits of outliers in box and whisker plots, you first must determine the Interquartile Range. The Interquartile Range is the difference between the Upper Quartile and the Lower Quartile. For instance, if my Upper Quartile = 87 and my Lower Quartile is 52, then 87 - 52= 35. 35 is the Interquartile Range (IQR).Next, you use the formula 1.5 x IQR to determine if you have any outliers.Example:1.5 x 35 = 52.5Now determine the limit for the Upper Quartile by adding 52.5 to the Upper Quartile.Example:52.5 + 87 = 139.5139.5 is the limit for the Upper Quartile.Next, determine the limit for the Lower Quartile by subtracting the Lower Quartile from 52.5Example52 - 52.5 = -0.5-0.5 is the limit for the Lower QuartileThus, the LIMITS are -0.5 and 139.5. In order for a number to be considered an outlier, it must either be less than -0.5 or greater than 139.5