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Chapter 2: Q. 64 (page 137)

The mean and median for the data are the same 3; 4; 5; 5; 6; 6; 6; 6; 7; 7; 7; 7; 7; 7; 7

Short Answer

Expert verified

Mean and median of the given data set is are both equal to 6.

So, the data is perfectly symmetrical.

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

02

Explanation

Mean:

As we given in Introduction part, mean is the average of given data set.

i.e.,

Mean=∑fxNMean=9015Mean=6

Median:

In the given data set, we have 15 numbers. The median is the value that falls exactly in the middle of the data set which is arranged in ascending order.

3; 4; 5; 5; 6; 6; 6; 6; 7; 7; 7; 7; 7; 7; 7

So, the Median of above given data is 6.

Therefore, both mean and median of given data is 6 and it is same.

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Most popular questions from this chapter

The following data show the number of months patients typically wait on a transplant list before getting surgery.

The data are ordered from smallest to largest. Calculate the mean and median.

3;4;5;7;7;7;7;8;8;9;9;10;10;10;10;10;11;12;12;13;14;14;15;15;17;17;18;19;19;19;21;21;22;22;23;24;24;24;24

Describe the relationship between the mode and the median of this distribution.

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