3) Consider the histogram and sample statistics given below, and answer the following questions. 17.0 17.5 18.0 18.5 19.0 19.5 20.0 Figure 1: Histogram of data. Variable Mean SD Median IQR X 19.46 0.48 19.60 0.61 (a) Describe the shape of the distribution from the histogram. (b) Which of the mean or median is a more appropriate measure of centre and why? (c) Which measure of spread is associated with the chosen measure of centre? Density 0.0 0.2 0.4 0.6 0.8 1.0 1.2

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A: Least-squares regression line : A curve whose main aim is  to lower the sum of squares of distances…

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A: Given angle is cos-2π3 We know that, cos-θ=cosθ cosπ2+θ=-sinθ Therefore, using above two formula,…

A: Step 1: Step 2: Step 3: Step 4:

A: The secant-tangent rule describes the relation between the secant and the tangent that are drawn…

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A: We know that,  cos2x=2cos2x-1. We will use this identity to simplify the given expression.

A: To solve:

A: For matrix A, find ATA Next find eigenvalues of matrix ATA  det(ATA)-λ=0 Square root of non-zero…

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A: The given identity is: tan u-3π4=(-1+tanu)(1+tanu) Let's take L.H.S we have: tanu-3π4 We can use the…

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A: Step 1:Understand Similarity and RatiosTriangle ABD is similar to triangle ABC. Hence, the ratio of…

A: Here we use that i=exp (πi/2).

A: Topic: integration

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