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Amounts spent by shoppers

Amounts spent by shoppers

Secondary 4
8 marks

The table shows the amounts, \(\$x\), spent by \(80\) shoppers.

Amount, \(\$x\)\(0<x\le 20\)\(20<x\le 40\)\(40<x\le 60\)\(60<x\le 80\)\(80<x\le 100\)
Frequency\(7\)\(15\)\(k\)\(21\)\(11\)
  1. Find \(k\).[1]
  2. Construct a cumulative frequency table.[2]
  3. Find the number of shoppers who spent[3]
    1. at most \(\$40\),
    2. more than \(\$60\),
    3. more than \(\$20\) but not more than \(\$80\).
  4. One of the shoppers is chosen at random. Find the probability that this shopper spent more than \(\$80\).[2]

Solution:

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Answer:(a) \(k=26\) (b) \(7,22,48,69,80\) (c)(i) \(22\) (ii) \(32\) (iii) \(62\) (d) \(\dfrac{11}{80}\)

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