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Summarize a Data Set — Mixed

Order the values, split at the median, then find the quartiles. Show your work.

ExampleThese are the values for time spent on homework, in minutes:
15, 15, 15, 17, 19, 19, 20, 22, 22
Find the median, the first and third quartiles, and the interquartile range. Already in order. Median = 19. The lower half is 15, 15, 15, 17, so Q1 = 15. The upper half is 19, 20, 22, 22, so Q3 = 21. IQR = Q3 − Q1 = 21 − 15 = 6 minutes — the width of the middle half of the data.
  1. 1.These are the values for time spent on homework, in minutes:
    12, 13, 13, 15, 16, 16, 16, 17, 19, 19, 19
    Find the median, the first and third quartiles, and the interquartile range.
  2. 2.These are the values for time spent on homework, in minutes:
    10, 10, 11, 12, 12, 12, 12, 14, 36
    Would the mean or the median better describe a typical value here?
    meanmedian
    Why?
  3. 3.These are the values for time spent on homework, in minutes:
    16, 19, 20, 21, 22, 22
    Find the mean, then the mean absolute deviation.
  4. 4.Omar asked "How long did each song last?" and recorded the answers in seconds:
    120, 124, 126, 127, 127, 127, 129, 129, 130, 130, 132, 132
    Write a full summary of this data set: how many values, what was measured and in what units, its center and its spread.
  5. 5.Maria asked "How long did each song last?" and recorded the answers in seconds:
    120, 120, 123, 124, 127, 128, 128, 129, 130, 132
    Write a full summary of this data set: how many values, what was measured and in what units, its center and its spread.