1. **State the problem:** We have a set of scores from a class assessment: 40, 67, 73, 75, 83, 85, 85, 93, 93, 95, 97, 100, 100, 100, 100, 100. We want to describe the class's performance based on this data. 2. **Key statistical measures:** To describe the data, we use measures like mean (average), median (middle value), mode (most frequent value), and range (difference between highest and lowest). 3. **Calculate the mean:** $$\text{Mean} = \frac{40 + 67 + 73 + 75 + 83 + 85 + 85 + 93 + 93 + 95 + 97 + 100 + 100 + 100 + 100 + 100}{16}$$ Calculate the sum: $$40 + 67 + 73 + 75 + 83 + 85 + 85 + 93 + 93 + 95 + 97 + 100 + 100 + 100 + 100 + 100 = 1381$$ So, $$\text{Mean} = \frac{1381}{16} = 86.3125$$ 4. **Find the median:** Since there are 16 scores (even number), the median is the average of the 8th and 9th values when sorted. Sorted scores: 40, 67, 73, 75, 83, 85, 85, 93, 93, 95, 97, 100, 100, 100, 100, 100 The 8th and 9th values are both 93. $$\text{Median} = \frac{93 + 93}{2} = 93$$ 5. **Find the mode:** The most frequent score is 100, appearing 5 times. 6. **Find the range:** $$\text{Range} = 100 - 40 = 60$$ 7. **Interpretation:** - The mean score is about 86.3, indicating overall good performance. - The median is 93, showing that half the class scored 93 or above. - The mode is 100, meaning many students scored perfect. - The range is 60, showing some variability with one low score pulling the minimum down. **Final conclusion:** The class performed well overall with many high scores and a few lower ones, indicating generally strong performance with some outliers.