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Ipatiy [6.2K]
3 years ago
7

In order to study whether IQ level is related to birth order, data were collected from a sample of 540 students on their birth o

rder (Oldest/In Between/Youngest) and their score on an IQ test.
Which of the following would be a meaningful display of the data from this study?

a. A pie chart
b. A histogram
c. A scatterplot
d. A two-way table
e. Side-by-side boxplots
Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

correct answer is e. Side-by-side boxplots

Step-by-step explanation:

given data

IQ test

sample = 540 students

solution

here Side-by-side boxplots that is apply it to the data set with 1 quantitative and 1  categorical variable

Side-by-side boxplots is also very useful in the comparing fundamental information for 2 data set

eg median value and range of value they cover from data

and

Side-by-side boxplots also provide target summary and it analysis the data

so here correct answer is e. Side-by-side boxplots

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Step-by-step explanation:

<u>Part A</u>

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P(X\leq5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=\binom{53}{1}(0.042)^1(1-0.042)^{53-1}+\binom{53}{2}(0.042)^2(1-0.042)^{53-2}+\binom{53}{3}(0.042)^3(1-0.042)^{53-3}+\binom{53}{4}(0.042)^4(1-0.042)^{53-4}+\binom{53}{1}(0.042)^5(1-0.042)^{53-5}\\\\P(X\leq5)\approx0.9767

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\displaystyle P(X\geq 1)=1-P(X=0)\\\\P(X\geq1)=1-(1-0.042)^{53}\\\\P(X\geq1)\approx1-0.1029\\\\P(X\geq1)\approx0.8971

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