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
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