Refer to Table 1.6 a. What is the average miles per gallon...

Name: Problem 3, Chapter 1: Statistics for Business Economics
Uploaded: 2019-09-29T07:00:19-08:00
Duration: 3 min 33 s
Channel: Bryan Luo
Description: Refer to Table 1.6 a. What is the average miles per gallon for city driving? b. On average, how much higher is the miles per gallon for highway driving as compared to city driving? c. What percentage of the cars have four-cylinder engines? d. What percentage of the cars use regular fuel?

Refer to Table 1.6 a. What is the average miles per gallon for city driving? b. On average, how much higher is the miles per gallon for highway driving as compared to city driving? c. What percentage of the cars have four-cylinder engines? d. What percentage of the cars use regular fuel?

Refer to Table 1.6
a. What is the average miles per gallon for city driving?
b. On average, how much higher is the miles per gallon for highway driving as compared to city driving?
c. What percentage of the cars have four-cylinder engines?
d. What percentage of the cars use regular fuel?

Key Concepts

Arithmetic Mean

The arithmetic mean, often referred to as the average, is a measure of central tendency calculated by summing all the values in a dataset and then dividing by the number of values. It is commonly used to represent a typical value in a set of numerical data, such as miles per gallon in city driving.

Comparative Analysis

Comparative analysis involves evaluating differences or similarities between groups or categories. In the context of the question, it is used to determine how much higher one measure (highway driving mpg) is relative to another (city driving mpg) by comparing their averages.

Percentage Calculation

Percentage calculation is a method for expressing a part-whole relationship. It involves dividing the number of items that meet a specific criterion by the total number of items and then multiplying by 100 to convert the fraction to a percentage. This concept is key for understanding proportions, like the fraction of cars with four-cylinder engines or those using regular fuel.

Data Interpretation from Tables

Data interpretation from tables involves extracting and analyzing numerical and categorical information presented in tabular form. This skill is essential for answering questions that require summarizing information, such as computing averages or calculating percentages from a data table.

Transcript

00:01 Okay, so this problem refers to the table on the screen.

00:04 The part 8 says, what is the average miles per gallon for city driving? so to find that, we're just going to average the values in this column.

00:13 If we sum this up and then divide by the number of cars, so 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, then we can easily calculate the average.

00:23 And if you use a calculator, you'll find the average to be 18 .2 miles per gallon.

00:31 And again, we're just using our simple average formula, which is the sum of the individual elements divided by the number of elements.

00:38 So the sum of this divided by 10.

00:40 And we're looking at this column because you're asking about city miles per gallon, not highway miles per gallon.

00:45 Part b says, on average, how much higher is the miles per gallon for highway driving as compared to city driving? so in this case, what we need to do is actually find the average of this column using the same text.

01:01 Technique we used in part a.

01:08 So let me go ahead and calculate that real quick.

01:15 Let's see.

01:20 So 19 plus 25 plus 25 plus 18 plus 33 plus 33 plus 26 plus 22 plus 31 plus 29 divided by 10.

01:36 So that's 26 .1 miles per gallon for the highway miles per gallon.

01:43 But the question's asking what's the difference? so we have to subtract 18 .2.

01:49 And then 26 .1 minus 18 .2 is, let's see, 7 .9 miles per gallon.

02:01 So our final answer for part b is 7 .9 miles per gallon.

02:09 Part c says, what percentage of cars have four cylinder engines? so we can see there's 10 cars total.

02:17 Let me just write see here...