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Chapter 2: Q. 68 (page 137)

In a perfectly symmetrical distribution, when would the mode be different from the mean and median?

Short Answer

Expert verified

The mean and median are same, in perfectly symmetrical distribution. Mode depends on the number of samples.

Step by step solution

01

Introduction

The Mean of the data is calculated by adding all numbers in the data set and then dividing by the number of values in the set.

The Median is the mid value of a data set and it is calculated by arranging the data set in ascending order (i.e., least to greatest).

The Mode is the most frequent number occurring in the data set.

02

Explanation

The mean and median of a perfectly symmetrical distribution are same.

If the sample has one mode (unimodal), mean and median are same.

If the samples have two modes of asymmetrical distribution two modes (bimodal), the two modes would be different from the mean and median.

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Most popular questions from this chapter

Find the standard deviation for the data from the previous example

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

1;1;1;2;2;2;2;3;3;3;3;3;3;3;3;4;4;4;5;5

The following data show the different types of pet food stores in the area carry. 6;6;6;6;7;7;7;7;7;8;9;9;9;9;10;10;10;10;10;11;11;11;11;12;12;12;12;12;12; Calculate the sample mean and the sample standard deviation to one decimal place using a TI-83+orTI-84 calculator.

What is the difference between cumulative relative frequency and relative frequency for each data value?

Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

70thpercentile = _______
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