Modeling Rates of Change: Quiz

Problem 3

The daily volume on the New York Stock Exchange can vary greatly. The following table shows the number of shares traded for each day listed.

19 Aug 2002 1,299,789,593
20 Aug 2002 1,320,587,400
21 Aug 2002 1,367,175,595
22 Aug 2002 1,386,142,070
23 Aug 2002 1,082,470,164
26 Aug 2002 1,016,910,882
27 Aug 2002 1,307,742,178
28 Aug 2002 1,156,550,348
29 Aug 2002 1,271,119,227
30 Aug 2002 938,489,411

Not counting the weekend days 24 and 25 August,

  1. What was the average volume per day over the entire period?
  2. What consecutive 2-day period produced the lowest average volume?
  3. What consecutive 3-day period produced the highest average volume?

Answers, problem 3

  1. We find the average volume per day by summing up all the shares traded on all the days and divide by the number of days to get 1,214,697,687 shares traded per day
  2. 23 and 26 August, average 1,049,690,523 shares traded per day
  3. 20–22 August, average 1,357,968,355 shares traded per day

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