Explanation Given: The EPA has determined the number of miles per gallon (MPG) for 58 foreign cars, as given in the following frequency table. MPG 19 20 21 22 23 24 25 26 27 28 29 30 Frequency 2 5 3 5 4 8 8 6 3 5 7 2 The Rolls-Royce and Jaguar XJ12 have ratings of 11 MPG. Suppose this new score with its frequency of 2 is included in the above table. Formula used: Mean: If a data set contains n data values, the mean x ¯ of the data set is x ¯ = ∑ x ⋅ f f Median: If we arrange a set of data values in increasing (or decreasing) order, the median is the middle value in the list of values. However, there are two cases to consider. • If there is an odd number of values, then the median is the value in the middle position. • If there is an even number of values, then the median is the mean of the two middle values. Mode: The mode of a set of data is the data value that occurs most frequently. It is possible for a data set to have more than one mode. If no one value occurs more often than others, the data set is said to have no mode. Calculation: Consider the given data set, the number of foreign cars is 58 if 2 cars are included then number of cars is 58 + 2 = 60 . MPG 11 19 20 21 22 23 24 25 26 27 28 29 30 Frequency 2 2 5 3 5 4 8 8 6 3 5 7 2 Mean is calculated as, MPG 11 19 20 21 22 23 24

6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Videos

Question

Chapter 14.2, Problem 34E

To determine

To calculate:

The mean, median and mode of the following data.

MPG 19 20 21 22 23 24 25 26 27 28 29 30

Frequency 2 5 3 5 4 8 8 6 3 5 7 2

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.2, Problem 33E

Chapter 14.2, Problem 35E

Students have asked these similar questions

solve part a on paper

solve on paper

Chapter 14 Solutions

Mathematics All Around (6th Edition)

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

MPG	19	20	21	22	23	24	25	26	27	28	29	30
Frequency	2	5	3	5	4	8	8	6	3	5	7	2

The mean, median and mode of the following data. MPG 19 20 21 22 23 24 25 26 27 28 29 30 Frequency 2 5 3 5 4 8 8 6 3 5 7 2

Solution Summary: The author calculates the mean, median, and mode of the following data.

Concept explainers

Videos

To calculate: The mean, median and mode of the following data. MPG 19 20 21 22 23 24 25 26 27 28 29 30 Frequency 2 5 3 5 4 8 8 6 3 5 7 2

Want to see the full answer?

Chapter 14 Solutions

To calculate:

The mean, median and mode of the following data.

MPG 19 20 21 22 23 24 25 26 27 28 29 30

Frequency 2 5 3 5 4 8 8 6 3 5 7 2