The number of downloads of a song on each of twenty consecutive days is shown in the following graph - HSC - SSCE Mathematics Standard - Question 7 - 2021 - Paper 1
Question 7
The number of downloads of a song on each of twenty consecutive days is shown in the following graph.
Which of the following graphs best shows the cumulative number... show full transcript
Worked Solution & Example Answer:The number of downloads of a song on each of twenty consecutive days is shown in the following graph - HSC - SSCE Mathematics Standard - Question 7 - 2021 - Paper 1
Step 1
Identify the data from the given graph
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Answer
First, we need to examine the histogram provided. It lists the number of downloads for each of the 20 consecutive days. We can summarize the data to calculate cumulative downloads for each day.
Step 2
Calculate cumulative downloads for each day
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Answer
To find cumulative downloads, we will sum the downloads up to each day. For example, for day 1, the cumulative total is just the downloads on day 1. For day 2, it is the downloads on day 1 plus those on day 2, and so on. This is calculated as:
ext{Cumulative downloads on day n} = ext{cumulative downloads on day } (n-1) + ext{downloads on day n}
Step 3
Evaluate the options
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Answer
After calculating the cumulative totals, we will compare our results with the given graphs (A, B, C, D). The graph that correctly represents the cumulative downloads for each day as calculated will be the answer to the question.
Step 4
Select the correct graph
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Answer
Reviewing the calculations, the graph that best represents the cumulative downloads as per our data is option C.
