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Let Us Do Activity 2: What's my Mean, Variance & Standard Deviation (MVSD)? Direction: Use the 8-step rule in solving the given problem. Step 1. Construct a probability distribution A Grade 11 class in Statistics and Probability has 20 learners. The ages of these P(X) learners are as follows: One learner is 15 years old, four are 16 years old, nine are 17, three are 18, two are 19 and one is 20. Let X be the age of any learner measured in years only. Find the mean age of the learners and determine the variance and standard deviation. Interpret the results. 3 GSC-CID-LRMS-ESSLM, v.r. 03.00, Effective June 14, 2021 Step 2. Multiple the value of the random variable Step 3. Find the summation of the (X) to its corresponding probability products of the values of the X P(X) X . P(X) random variable (X) and the probabilities H = [[X - P(X)] Step 4. Squared each value of the random Step 5. Multiple the value of the random variable variable () to its corresponding probability X P(X) X . P(X) X2 X P(X) X - P ( X ) X 2 X 2 - P ( X ) Step 6. Apply the formula in finding Step 7. Find the standard deviation by getting the variance the square root of the variance H- [(X)d . zx1 = = [[ X2 . P(X)] -142 Step 8. Interpret the results GSC-CID-LRMS-ESSLM, v.r. 03.00, Effective June 14, 2021 Let Us Apply Activity 3: Solve and Interpret my MVSD Direction: Solve the given problem using the 8-step rule. The table below shows the number of COVID - 19 patients admitted per day in a COVID facility in a certain Barangay in General Santos City along with its corresponding probability. Find the mean, variance, and standard deviation of the number of COVID Patients. Interpret the results. No. of COVID Patients (X) 0 1 2 3 Probability P(X) 0.5 0.3 0.15 0.05