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MathematicsStatisticsMeasures of DispersionEasy2 minPYQ_2023

MathematicsEasysingle choice

Find the mean deviation about the mean for the data $4, 7, 8, 9, 10, 12, 13, 17$

Options:

Answer:

Solution:

Arithmetic mean $\overset{x}{ˉ}$ of $4, 7, 8, 9, 10, 12, 13$ , 17 is
$\overset{x}{ˉ} =$ $\frac{4 + 7 + 8 + 9 + 10 + 12 + 13 + 17}{8} = \frac{80}{8} = 10$
$Σ ∣ x_{i} - \overset{x}{ˉ} ∣ = 6 + 3 + 2 + 1 + 0 + 2 + 3 + 7 = 24$
$∴$ Mean deviation about mean
$= M.D. (\overset{x}{ˉ}) = \frac{\sum ∣ x _{i} - x ˉ ∣}{n} = \frac{24}{8} = 3$

Stream:BITSATSubject:MathematicsTopic:StatisticsSubtopic:Measures of Dispersion

⏱ 2mℹ️ Source: PYQ_2023

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