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Basic Statistics 502695

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Basic Statistics 502695


1. Let's state a basic statistics problem: Find the mean, median, and mode of the data set: 3, 7, 7, 2, 9, 10, 3. 2. The mean (average) is calculated by summing all values and dividing by the number of values: $$\text{Mean} = \frac{3 + 7 + 7 + 2 + 9 + 10 + 3}{7}$$ 3. Calculate the sum: $$3 + 7 + 7 + 2 + 9 + 10 + 3 = 41$$ 4. Divide by the number of data points (7): $$\text{Mean} = \frac{41}{7} \approx 5.857$$ 5. To find the median, first sort the data: $$2, 3, 3, 7, 7, 9, 10$$ 6. The median is the middle value in the sorted list. Since there are 7 numbers, the 4th number is the median: $$\text{Median} = 7$$ 7. The mode is the number that appears most frequently. Here, 3 and 7 both appear twice, so the data set is bimodal: $$\text{Mode} = 3 \text{ and } 7$$ Final answers: Mean $\approx 5.857$ Median $= 7$ Mode $= 3$ and $7$