The standard deviation of the data is option 0.5 is the correct answer.
What is standard deviation?
The standard deviation is a measure of the amount of variation or dispersion of a set of values. It is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
For the given situation,
The graph shows the distribution of data.
From the graph, the center value is the mean, μ = 2.
Let σ be the standard deviation.
The value right to the mean is μ + 1σ = 2.5 and
The value left to the mean is μ - 1σ = 1.5.
⇒ μ + 1σ = [tex]2.5[/tex]
⇒ 2 + σ = [tex]2.5[/tex]
⇒ σ = [tex]2.5-2[/tex]
⇒ σ = [tex]0.5[/tex]
Hence we can conclude that the standard deviation of the data is option 0.5 is the correct answer.
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