The information in the following parallel box plots relates to Questions 5 and 6
ID: 3282498 • Letter: T
Question
The information in the following parallel box plots relates to Questions 5 and 6 The parallel box plots shown display the distribution of battery life (in hours) for two brands of batteries (brand A and brand B). brand A brand B 10 20 30 40 50 60 Hours 5 The variables battery life and brand are: A both categorical variables B a categorical and a numerical variable respectively C a numerical and a categorical variable respectively D both numerical variables E neither a numerical nor a categorical variable 6 Which of the following statements (there may be more than one) support the contention that battery life and brand are related? I the median battery life for brand A is clearly higher than for brand B IlI battery lives for brand B are more variable than brand A IlI the distribution of battery lives for brand A is symmetrical with outliers but positively skewed for brand B A I only D I and II only B II only E I, II and IlII ? 111 onlyExplanation / Answer
Q5)
Battery life represents the working of battery hours (which is a numerical quantity). whereas Brand represents the categorical quantity since it is not number but basically a category
Hence the correct answer is Option C
Battery life (numerical) and Brand (categorical)
Q6)
Correct answer is Option E
The median battery life of brand A (38) is higher than brand B (28) which can be clearly seen from the graph
Battery live for brand A varies from (34 to 44) whereas brand B varies from (26 to 38)
A is symmetric with respect to outliers since the black line is in the center representing the average whereas the B is positively skewed
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