the image contains the question ### Statistical Analysis of Survey Data on Hours of Sleep#### Sample DataPresented below are the recorded hours of sleep for 12 individuals who participated in a survey.#### Raw Data Table| x ||-----|| 4 || 4.5 || 5.5 || 6 || 6.5 || 7 || 7 || 7 || 7 || 7 || 7.5 || 9 |### Instructions for Analysis#### a. Mean, Variance, and Standard Deviation1. **Calculate the Mean (Average)**: - Sum all the values (Σx). - Divide the sum by the number of observations (n).2. **Calculate the Variance (σ²)**: - Subtract the mean from each value and square the result ( (xᵢ - μ)² ). - Sum these squared deviations. - Divide by the number of observations.3. **Calculate the Standard Deviation (σ)**: - Take the square root of the variance.#### b. Find Percentage within One Standard Deviation1. **Determine the Range**: - Calculate μ - σ and μ + σ to find the boundaries. 2. **Count the Values**: - Determine the number of observations that fall within this range.3. **Calculate the Percentage**: - Divide by the total number of observations and multiply by 100.**Note**: The table and the instructions guide you through finding central tendencies and dispersion measures using the provided dataset. Use the formulas to compute each statistical measure and ensure all steps are properly shown for clarity.

Name: the image contains the question ### Statistical Analysis of Survey Dat
Uploaded: 2024-03-20T07:07:37.000Z
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Description: the image contains the question ### Statistical Analysis of Survey Data on Hours of Sleep#### Sample DataPresented below are the recorded hours of sleep for 12 individuals who participated in a survey.#### Raw Data Table| x ||-----|| 4 || 4.5 ||