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Chapter 6: Q6.19 (page 260)

Consider two normal distributions, one with mean -4 & standard deviation 3 or the one with mean 6 and standard deviation 3. Answer true or false to each statement and explain your answers

a. The two normal distributions have same spread

b. The two normal distributions are centred at the same place.

Short Answer

Expert verified

A] The two normal distributions have same spread : True

B] The two normal distributions are centred at the same place : False

Step by step solution

01

Spread Concept & True/ False 

Spread is a measure of variability of data around the mean, it indicates on average that how scattered the other values are around mean.

Standard Deviation is a statistical measure of dispersion. It is the under root of average squared deviations around mean.

So, as the standard deviation of both distributions = 3, so their spread is same.

02

Centre Concept & True / False 

Centre of the distribution denotes the measures of central tendency, which is most prominently arithmetic mean.

Since the means of distributions are unequal ie -4 and 6 respectively, so there centre is not equal.

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Most popular questions from this chapter

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Standard Normal DistributionIn Exercises 17鈥�36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the probability of the given bone density test scores. If using technology instead of Table A-2, round answers

to four decimal places.

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Standard Normal DistributionIn Exercises 17鈥�36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the probability of the given bone density test scores. If using technology instead of Table A-2, round answers

to four decimal places.

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See all solutions

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