This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To find the mean number of pets, we use the formula for the mean of a frequency distribution: Mean = ( (x · f))/( f) where x is the number of pets and f is the frequency. Step 1: Calculate the sum of (x · f) for each category. For 0 pets: 0 × 4 = 0 For 1 pet: 1 × 12 = 12 For 2 pets: 2 × 8 = 16 For 3 pets: 3 × 2 = 6 For 4 pets: 4 × 1 = 4 For 5 pets: 5 × 2 = 10 For 6 pets: 6 × 1 = 6 Step 2: Sum these products to find (x · f). (x · f) = 0 + 12 + 16 + 6 + 4 + 10 + 6 = 54 Step 3: Calculate the sum of the frequencies, f, which represents the total number of classmates surveyed. f = 4 + 12 + 8 + 2 + 1 + 2 + 1 = 30 Step 4: Divide the sum of (x · f) by the sum of f to find the mean. Mean = (54)/(30) Mean = 1.8 The mean number of pets is 1.8.