Statistics

Mean, Median, Mode

Step 1: Identify what measures of central tendency are Step 2: Mean, Median, and Mode are the three main measures of central tendency Step 3: Range is a measure of dispersion, not central tendency Step 4: Frequency is just the count of observations Therefore, Mean, Median, and Mode are correct answers.

17

Step 1: Add all the frequencies Σf = f₁ + f₂ + f₃ + f₄ Step 2: Σf = 3 + 7 + 5 + 2 Step 3: Σf = 17 This represents the total number of observations in the data.

8

Step 1: Calculate deviations from assumed mean a = 8 d₁ = 4-8 = -4, d₂ = 6-8 = -2, d₃ = 8-8 = 0, d₄ = 10-8 = 2, d₅ = 12-8 = 4 Step 2: Sum of deviations = -4 + (-2) + 0 + 2 + 4 = 0 Step 3: Mean of deviations = 0/5 = 0 Step 4: Mean = a + mean of deviations = 8 + 0 = 8

It is obtained by adding frequencies of all preceding classes, It helps in finding the median of grouped data, The last cumulative frequency equals the total number of observations

Step 1: Cumulative frequency = sum of frequencies up to that class Step 2: It's used to locate median class in grouped data Step 3: Last cumulative frequency = total observations (Σf) Step 4: It never decreases, only increases or stays same Step 5: It's not equal to individual frequency except for the first class