Question

The data show a sample of the number of passengers in millions that major airlines carried for a recent year. Find the mean, median, midrange, and mode for the data. $\begin{array}{rrrrrr}{143.8} & {17.7} & {8.5} & {120.4} & {33.0} & {7.1} \\ {10.0} & {5.0} & {6.1} & {4.3} & {3.1} & {12.1}\end{array}$

Name: Problem 9, Chapter 3: Elementary Statistics a Step by Step Approach
Uploaded: 2020-07-12T03:06:10-08:00
Duration: 2 min 24 s
Channel: Rebecca Wickersham
Description: The data show a sample of the number of passengers in millions that major airlines carried for a recent year. Find the mean, median, midrange, and mode for the data. 143.8 17.7 8.5 120.4 33.0 7.1 10.0 5.0 6.1 4.3 3.1 12.1

   The data show a sample of the number of passengers in millions that major airlines carried for a recent year. Find the mean, median, midrange, and mode for the data.
$\begin{array}{rrrrrr}{143.8} & {17.7} & {8.5} & {120.4} & {33.0} & {7.1} \\ {10.0} & {5.0} & {6.1} & {4.3} & {3.1} & {12.1}\end{array}$

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Chapter 3, Problem 9

Instant Answer

Solved by Expert Rebecca Wickersham

07/12/2020

Step 1

The ordered data is as follows: \[3.1, 4.3, 5.0, 6.1, 7.1, 8.5, 10.0, 12.1, 17.7, 33.0, 120.4, 143.8\] Show more…

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The data show a sample of the number of passengers in millions that major airlines carried for a recent year. Find the mean, median, midrange, and mode for the data. $\begin{array}{rrrrrr}{143.8} & {17.7} & {8.5} & {120.4} & {33.0} & {7.1} \\ {10.0} & {5.0} & {6.1} & {4.3} & {3.1} & {12.1}\end{array}$

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Key Concepts

Mode

The mode is the value that appears most frequently in a dataset. It is particularly useful for understanding which value or category is the most common, and can be applied to both numerical and categorical data.

Mean

The mean is the arithmetic average, calculated by summing all the numbers in the dataset and then dividing by the count of numbers. It provides a measure of the central value of the data by taking into account every value in the dataset.

Median

The median is the middle value of a dataset when it is arranged in order. It divides the dataset into two equal halves, making it a useful measure of central tendency, especially when the data is skewed or contains outliers.

Midrange

The midrange is calculated by averaging the smallest and largest values in the dataset. It provides a simple measure of central tendency that reflects the spread of the data, though it can be sensitive to extreme values.

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