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20) A study found that 42% of households own 1 television set, 35% own 2 televis

ID: 3052556 • Letter: 2

Question

20) A study found that 42% of households own 1 television set, 35% own 2 television sets, 16% own 3 television sets, and 7% own 4 television sets. According to these results, what percentage of homes own at most 3 television sets? PI) 12 A. 16% B. 7 2 23% random sample of houses in a particular area was surveyed to find out informationor mbre 9 bout living area (sq. ft.). Suppose the five-number summary is as follows: 21 a580 Minimum : 700 Quartile #1 1900 Median 2200 Quartile #3: 2580 Maximum: 3000 : Is the smallest house an outlier? A. No, it is within 1.5(IQR) of the third quartile. B) No, it is within 1.5(IQR) of the first quartile. 1-1-5 (080) =-1019 Yes, it is less than 1.5(IQR) below the median. es, it is less than 1.5(IQR) below the first quartile. Yes, it is less than 1.5(IQR) below the third quartile.

Explanation / Answer

20. The percentage of homes own at most 3 television sets

= 100 * P(a randomly selected home own at most 3 television sets)

= 100* [ P(a randomly selected home own 1 television set) + P(a randomly selected home own 2 television sets) +

P(a randomly selected home own 3 television sets) ]

= 100 * (0.42 + 0.35 + 0.16)

= 93 %

21. IQR = Q3 - Q1 = 2580 - 1900 = 680

Now

smallest possible bound = 1900 - (1.5 * 680) = 880

A) No, it is within 1.5 (IQR) of the first quartile.