For 20 quiz scores in a typing class, the table below gives the frequency of the scores

For 20 quiz scores in a typing class, the table below gives the frequency of the scores in each score interval. Which score interval contains the median of the scores?

  1. 96-100
  2. 91-95
  3. 86-90
  4. 81-85
  5. 76-80

Answer

The correct answer is D.

The median of a data set is the middle term when the set is arranged in numerical order. The 20 quiz scores are placed in score intervals that are in numerical order. Because there are 20 quiz scores, the median of the scores will be between the 10th and 11th quiz scores.

There are 9 quiz scores in the 76-80 score interval, which means the 10th and 11th quiz scores occur in the 81-85 score interval. Therefore, the median of the scores is contained in the 81-85 score interval.