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 $7$