Using the dotplot of % Bachelor's Degree below, determine the median, upper quartile, lower quartile and the 40th percentile. Construct a box-and-whisker plot for the distribution and identify whether it is symmetric, left skewed or right skewed.
Answer Correctly.
The given data set is arranged in ascending order as shown below
19, 20, 24, 25, 27, 27, 28, 29, 29, 32, 32, 33, 35, 36, 49
There are 15 values the median is the middle value which is 8th data point.
The lower quartile divide the lowest 25% of data and upper 75% of data or we can say it is median of first half of data
19, 20, 24, 25, 27, 27, 28
The median of first half of data or Quartile 1 is fourth data point
The upper quartile divide the upper 25% of data and lower 75% of data or we can say it is median of second half of data
29, 32, 32, 33, 35, 36, 49
The median of second half of data or Quartile 3 is fourth data point
The total number of data points are 15.
The 40th percentile data point will be
th data point.
The 40th percentile in given data set is 27.
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