Three statistics classes (50 students each) took the same test. Shown below are

Question

Three statistics classes (50 students each) took the same test. Shown below are histograms of the scores for the distance. Use the histograms to answer the questions without calculating summary statistics. Write a brief supporting statistics for each answer. Which class had the highest mean score? Which class had the highest median score? Which class had the smallest standard deviation? Which class had the largest standard deviation? Which class had the smallest IQR? For which class are the mean and median most different? For class 2, compare the mean and the median. Which class do you think performed better on the test?

Explanation / Answer

1) Class 3 has a highest mean becuase class 3's data is symmetric type.

2) Class 3 has a highest median becuase class 3's data is symmetric type. and in symmetric distribution mean . median and mode are same.

4) Class 2 has largest standard deviation becauase the is lot of differences.

6) Class 2 becuase class 2's data are negatively skewed.

7) Median > Mean becuase data is negatively distributed.

Remaining your all answers are correct.

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