Math Problem Statement

Listed below in order are prices in dollars for a Big Mac hamburger in the

United StatesUnited States​,

CanadaCanada​,

MexicoMexico​,

ChinaChina​,

JapanJapan​,

RussiaRussia​,

SwitzerlandSwitzerland​,

ItalyItaly​,

SpainSpain​,

BritainBritain​,

IndiaIndia​,

and

EgyptEgypt.

Such data are used to compare currency exchange rates and the costs of goods in different countries. Find the​ range, variance, and standard deviation for the given sample data. What do the measures of variation tell us about the prices of a Big Mac in different​ countries?

5.275.27

5.275.27

2.552.55

3.213.21

3.383.38

2.302.30

6.776.77

5.095.09

4.764.76

4.414.41

2.812.81

1.891.89   Question content area bottom

Part 1

The range is

4.884.88

dollars.dollars.

​(Type an integer or decimal rounded to two decimal places as​ needed.)

Part 2

The variance is

2.242.24

dollars squared .dollars2.

​(Type an integer or decimal rounded to two decimal places as​ needed.)

Part 3

The standard deviation is

1.501.50

dollars.dollars.

​(Type an integer or decimal rounded to two decimal places as​ needed.)

Part 4

What do the measures of variation tell us about the prices of a Big Mac in different​ countries?

A.

The variance and standard deviation tell us that Big Macs have lower prices in wealthier countries.

B.

The range alone tells us that there are very substantial differences among prices of Big Mac hamburgers in different countries.

C.

The variance and standard deviation tell us that Big Macs have higher prices in wealthier countries.

D.

The range alone tells us that there are very small differences among prices of Big Mac hamburgers in different countries.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Measures of Variation

Formulas

Range = max value - min value
Variance (σ²) = Σ(xi - x̄)² / (n - 1)
Standard deviation (σ) = √Variance

Theorems

Variance and Standard Deviation Formulas

Suitable Grade Level

Grades 9-12