Measures of relative standing - z-score, quartiles, percentiles

Intros
Start Watching
Lessons
  1. Z-Score
  2. Quartiles
  3. InterQuartile Range
  4. Percentiles
Examples
Start Watching
Lessons
  1. Using Z-score to Compare the Variation in Different Populations
    Charlie got a mark of 85 on a math test which had a mean of 75 and a standard deviation of 5. Daisy got a mark of 75 on an English test which had a mean of 69 and a standard deviation of 2. Relative to their respective mean and standard deviation, who got the better grade?
  2. Determining the Quartiles
    Find the quartiles for each data set:
    1. {9, 3, 7, 5, 2, 8, 12}
    2. {2, 3, 5, 7, 8, 9, 12, 15}
    3. {2, 3, 5, 7, 8, 9, 12, 15, 35}
  3. Interquartile Range & Box-and-Whisker Plot
    For the data set: {8, 2, 20, 4, 9, 5, 6, 12, 10, 1}
    1. Determine the quartiles.
    2. Find the interquartile range.
    3. Construct a box-and-whisker plot.
    4. Which data points, if any, are outliers?
  4. Determining the Percentile
    Sidney is taking a biology course in university. She got a mark of 78% and the list of all marks from her class (including her mark) is given by {56, 83, 74, 67, 47, 54, 82, 78, 86, 90}.
    1. What percentile did she score in?
    2. Sidney's friend Billy knows he got in the 70% percentile, what was his mark?