Measures Of Dispersion

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Step 1: Identify the largest value = 50 Step 2: Identify the smallest value = 12 Step 3: Range = Largest - Smallest = 50 - 12 = 38 Answer: 38…

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Step 1: Calculate mean = (65+70+75+80+85)/5 = 375/5 = 75 Step 2: Find deviations from mean: |65-75|=10, |70-75|=5, |75-75|=0, |80-75|=5, |85-75|=10 Step 3: Sum of absolute deviations = 10+5+0+5+10 = 3…

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Step 1: Mean = (2+4+6+8+10)/5 = 30/5 = 6 Step 2: Squared deviations: (2-6)²=16, (4-6)²=4, (6-6)²=0, (8-6)²=4, (10-6)²=16 Step 3: Sum of squared deviations = 16+4+0+4+16 = 40 Step 4: Variance = 40/5 = …

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Step 1: Arrange data: 5, 8, 12, 15, 20 (already sorted) Step 2: Median = middle value = 12 Step 3: Absolute deviations from median: |5-12|=7, |8-12|=4, |12-12|=0, |15-12|=3, |20-12|=8 Step 4: Sum of a…

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Mean deviation is used when you want a simple measure of average spread that is less affected by extreme values. It's easier to understand and calculate. Standard deviation is preferred in statistical…

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Because the mean is the balancing point of the data. Positive deviations (values above mean) exactly cancel out negative deviations (values below mean). For example, in data 2,4,6: mean=4, deviations …

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Formula: MD = (Σ|xᵢ - x̄|) / n Where: x̄ = mean of data xᵢ = individual observations n = number of observations | | = absolute value Example: For data 3,5,7: mean=5, MD=(|3-5|+|5-5|+|7-5|)/3=(2+0+2)/3…

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Step 1: Largest value = 200, Smallest value = 100 Step 2: Range = 200 - 100 = 100 Step 3: Coefficient of range = (L-S)/(L+S) = (200-100)/(200+100) = 100/300 = 1/3 ≈ 0.333 Answer: Range = 100, Coeffici…