Reviewing Data Sets

Bowling Scores

Work Time

Bowling Scores

In this problem you will create bowling score data sets that meet different criteria. Note that bowling scores may be any whole number in the range 0–300 (most people score in the range 100–200). Create a new data set for each question.

  1. Create a data set of seven scores in which the data meet the following criteria: The mean and the median are the same but the mode is different.
    • Mean of the set of scores
    • Median of the set of scores
    • Mode of the set of scores
  2. Create a data set of seven scores in which the data meet the following criteria: The mode is lower than the median but the mean is higher than the median.
    • Mean of the set of scores
    • Median of the set of scores
    • Mode of the set of scores
  3. Create a data set of eight different scores (that is, none of the scores can be the same) in which the data meet the following criterion: When the eighth score is added to the set, it does not change the mean.
    • Mean of the first seven scores
    • Mean of all eight scores