Question

27–34: Describing Distributions. Consider the following distributions.-How many peaks would you expect the distribution to have? Explain.-Make a sketch of the distribution.-Would you expect the distribution to be symmetric, left-skewed, or right-skewed? Explain.-Would you expect the variation of the distribution to be small, moderate, or large? Explain.27.The exam scores for 50 students when 5 students scored between 90 and 100, 10 students scored between 80 and 89, 20 students scored between 70 and 79, and 15 students scored below 70, with their scores spread out to a low of 40

Answer 1

Now, we can conclude:

• There will be only one peak in the 70-79 scores frequency, because it is the frequency of scores with the highest number of students

,

• The distribution would be left-skewed. From 40 to 79 there are 35 scores, and from 80 to 100, 15 scores.

,

• The variation and dispersions of the distribution would be large because there are scores from 40 to 100.