A law school releases admissions data from past years. The median score on the LSAT for accepted students was 167. (Scores on the LSAT range from 120 to 180 points.) The first and third quartiles of LSAT scores for accepted students were 155 and 173 points, respectively.

(a) Roughly sketch a histogram for the LSAT scores of accepted students.

the histogram is a visual representation of the data distribution and should be interpreted accordingly. It provides insights into the frequency and distribution of LSAT scores among accepted students at the law school

1. Set up the x-axis to represent the LSAT score range from 120 to 180. Divide the x-axis into appropriate intervals or bins based on the desired level of detail.

2. On the y-axis, represent the frequency or count of LSAT scores falling within each interval or bin.

3. Start by plotting the first quartile at 155 and the third quartile at 173. You can mark these values on the x-axis.

4. Now, consider the median score of 167. You can mark this value as a vertical line on the x-axis, indicating the point where half the scores are below and half are above.

5. Based on the given information, you can roughly estimate the distribution of LSAT scores within the bins. Consider that the data is likely to be skewed towards the higher end since the median (167) is closer to the third quartile (173) than the first quartile (155).

6. Sketch the bars of the histogram, ensuring that the height of each bar represents the frequency or count of LSAT scores falling within the corresponding interval.

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