Mean Median Mode Range A87B94

1. **State the problem:** We need to find the mean, median, mode, and range of the daily texts received by Emelina over six days: Mon=0, Tue=1, Wed=1, Thu=11, Fri=6, Sat=37. 2. **List the data:** $\{0, 1, 1, 11, 6, 37\}$ 3. **Mean:** The mean is the sum of all values divided by the number of values. $$\text{Mean} = \frac{0 + 1 + 1 + 11 + 6 + 37}{6} = \frac{56}{6}$$ 4. Simplify the fraction: $$\frac{56}{6} = \frac{\cancel{56}}{\cancel{6}} = \frac{28}{3} \approx 9.3$$ 5. **Median:** The median is the middle value when data is ordered. Ordered data: $0, 1, 1, 6, 11, 37$ Since there are 6 values (even), median is the average of the 3rd and 4th values: $$\text{Median} = \frac{1 + 6}{2} = \frac{7}{2} = 3.5$$ 6. **Mode:** The mode is the value that appears most frequently. Here, $1$ appears twice, others appear once, so mode = $1$. 7. **Range:** The range is the difference between the maximum and minimum values. $$\text{Range} = 37 - 0 = 37$$ **Final answers:** - Mean = $9.3$ - Median = $3.5$ - Mode = $1$ - Range = $37$