Re: [計量] PP2-PS107、108、110問題請教
※ 引述《Q7 (T^T)》之銘言:
: PS2 107
: Table: Ann $450,000
: Bob $360,000
: Cal $190,000
: Dot $210,000
: Ed $680,000
: The table above shows the total sales recorded in July for the 5 salespeople
: at Acme Truck Sales. It was discovered that one of Cal's sales was
: incorrectly recorded as one of Ann's sales. After this error was corrected,
: Ann's total sales were still higher than Cal's total sales, and the median of
: the 5 sales totals was $330,000. What was the value of the incorrectly
: recorded sale?
: (A) $30,000
: (B) $48,000
: (C) $90,000
: (D) $120,000
: (E) $140,000
: 一直想不透答案為什麼是D.....
: 想看看強者的見解,我算出的答案是A
: 我在想是不是我沒搞懂題目?
: It was discovered that one of Cal's sales was incorrectly recorded
: as one of Ann's sales. 這句話我真的不是很懂...
◎回答問題PS2 107:
Median意指這5 sales金額,依序由小排到大,排正中央之值
所以(1)median=330000=450000-X, X=120000, Ann=330000
或(2)median=330000=190000+X, X=140000, Ann=310000, Cal=330000
因題意說Ann>Cal
所以(2)不成立, (1)成立
X=120000, 答案(D)
: PS2 108
: 畫出來是這樣...應該是對的。
: 1 0
: ├──┴┼─┴─┼┴──┴┼─┴┼┴─┤
: On the number line above, the segment from 0 to 1 has been divided into
: fifths, as indicated by the large tick marks, and also into sevenths, as
: indicated by the small tick marks. What is the least possible distance
: between any two of the tick marks?
: (A) 1/70
: (B) 1/35
: (C) 2/35
: (D) 1/12
: (E) 1/7
: 這題完全陣亡.... 答案是B
◎回答問題PS2 108
3/5 - 4/4 = 1/35
所以答案是B
: PS110
: During a trip on an expressway, Don drove a total of x miles. His average
: speed on a certain 5-mile section of the expressway was 30 miles per hour,
: and his average speed for the remainder of the trip was 60 miles per hour.
: His travel time for the x-mile trip was what percent greater than it would
: have been if he had traveled at a constant rate of 60 miles per hour for the
: entire trip?
: (A) 8.5%
: (B) 50%
: (C) x/12%
: (D) 60/x%
: (E) 500/x%
: 我是算出C,但是答案卻是E...想好久真的想不透 囧
: 請高手指點了 非常感謝
◎回答問題PS110
5-mile section費時 = 5/30 = 1/6 hr
其餘費時 = (X-5)/60
全程定速60 miles/hr 費時= X/60
題目所問之% = [ (X-5)/60 + 1/6 ] / (X/60) * 100%
= [ (X-5+10-X)/60 ] / (X/60) * 100%
= 5/X * 100%
= 500/X %
所以答案E
(以上內容由美加黃冠文教授提供)
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