1. **Understanding measures of central tendency:** The measures of central tendency are statistical values that describe the center or typical value of a data set. 2. **Common measures include:** - **Mean:** The average value calculated by summing all data points and dividing by the number of points. - **Median:** The middle value when the data points are arranged in ascending order. - **Mode:** The value that appears most frequently in the data set. 3. **Solving problems involving these measures:** You first identify which measure is required, then apply the corresponding formula or procedure. 4. **Example problem:** Find the mean, median, and mode for the data set: $[3, 7, 7, 2, 9, 10, 7]$. 5. **Step 1 - Calculate the mean:** Sum all values: $3+7+7+2+9+10+7 = 45$. Number of data points = $7$. Mean $= \frac{45}{7} \approx 6.43$. 6. **Step 2 - Calculate the median:** Sort data: $[2, 3, 7, 7, 7, 9, 10]$. Median is the middle value at position $\frac{7+1}{2} = 4$. Median $= 7$. 7. **Step 3 - Calculate the mode:** The number appearing most frequently is $7$, appearing three times. Mode $= 7$. 8. **Summary:** Mean $\approx 6.43$, Median $= 7$, Mode $= 7$. This shows central tendency using mean, median, and mode for the given set.