Question

consider the exam scores for 59 students when 7 students scored between 90 and 100, 12 students scored between 80 and 89, 21 students scored between 70 and 79, and 19 students scored below 70, with their scores spread out to a low of 40. complete parts a through d
b make a sketch of the distribution. choose the correct answer below
a. b. c. d.
c what shape would you expect for the distribution?
a. the distribution would probably be symmetric because there are no obvious factors to indicate that there would be a higher or lower exam score for any student
b. the distribution would probably be left - skewed because the scores are more spread out on the left side of the mode
c. the distribution would probably be symmetric because the only scores were between 40 and 100
d. the distribution would probably be right - skewed because many of the students got scores of 90 or better and very few got low scores

Explanation:

To determine the distribution shape, analyze the score frequencies: 19 students scored below 70, 21 between 70 - 79, 12 between 80 - 89, and 7 between 90 - 100. The left - hand side (lower scores) has more spread out data (19 students below 70, with scores down to 40), while the right - hand side (higher scores) has fewer students. A left - skewed distribution has a longer tail on the left (lower values) because the scores are more spread out on the left side of the mode (the peak, likely around 70 - 79 as it has the highest frequency). Option A is incorrect as there are factors (unequal frequency distributions) indicating asymmetry. Option C is incorrect as the range (40 - 100) does not imply symmetry. Option D is incorrect as the low - score side (left) is more spread out, not the right. So the distribution is left - skewed, matching option B.

Answer:

B. The distribution would probably be left - skewed because the scores are more spread out on the left side of the mode