4. \( \mu=84.7 ; \sigma=21.3 \); one standard deviation above the mean

To determine the value that is **one standard deviation above the mean** given the parameters: - **Mean (μ)**: 84.7 - **Standard Deviation (σ)**: 21.3 You can use the following formula: \[ \text{One Standard Deviation Above the Mean} = \mu + \sigma \] **Calculation:** \[ \mu + \sigma = 84.7 + 21.3 = 106 \] **Result:** One standard deviation above the mean is **106**. --- ### Additional Context (If Needed): In the context of a **normal distribution**: - Approximately **68%** of the data falls within **±1 standard deviation** from the mean. - Therefore, being at **one standard deviation above the mean** (i.e., at 106) places a data point at the **84th percentile**. This means that roughly **84%** of the data lies below this value. If you have a specific question or need further analysis (such as calculating probabilities or z-scores), feel free to provide more details!