Question

Before Course	After Course
144	139
144	145
145	146
141	149
145	139
141	147
142	143
143	166
142	151
145	144
140	140
145	144
140	136
141	140
140	137
142	149
140	147
140	167
145	146
144	145
145	145
144	137
144	150
140	144

You need to create two histograms: one for the pre-LSAT scores and another for the post-LSAT scores.
Please provide your interpretation of the results. For example, you might want to compare
the two histograms and point out the similarties and differences. You may want to share some
relevant descriptive statistics about the two groups of data.

Answer 1

Before Course: Histogram

Mean:

Median:

Median is higher than the median. Data are skewed to the left

When data are skewed left, the mean is smaller than the median.

After course: Histogram

Mean:

Median:

The few larger values bring the mean upwards but don’t really affect the median. So when data are skewed right, the mean is larger than the median

Similarities of before and after course:

Average value and median of the course data is not having big difference.

Differences:

Before course is skewed to the left of the distribution and After course is skewed to the right.

Width of the class interval is 1 in before course and 7 for After course.

Formula Ref: