is the Below are three displays labeled A, B and C Remember that the variance sq

Question

is the Below are three displays labeled A, B and C Remember that the variance square of the standard deviation. a) which display represents each of the following situations 1. Same mean same variance 2. Same mean, different variances 3. Different means same variance 4. Different means different variances b) In display B which curve (K or L the largest standard deviation? has c) In display c, which curve (M or R) has the smaller standard deviation? d) Below are four distributions labeled Q, R and S Assume they all P, represent the same range of X values. Which has

Explanation / Answer

1.

a. )

1.None of the graphs

2. K and L graphs are centered on same mean, but spread is different. B is this graph

3. C is right. Centered differently, and different variances

b.)

L has higher spread than K therefore largest std dev

c. )

M has a smaller stdev, as spread is less than spread of R

d. )

The striaght line has no variance. So, P is least

R has higher frequency at higher deviations than S or Q has

Q has higher deviation than S as the tails aren't flat as in S

R>Q>S>P

R - the largest variance

P - smallest variance

Q - 2nd largest variance

S - 2nd smallest variance

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