Use TABLE 5 above to answer the questions that follow - NSC Mathematical Literacy - Question 4 - 2023 - Paper 1
Question 4
Use TABLE 5 above to answer the questions that follow.
4.1.1 Write down the modal in-store price for P&P store.
4.1.2 Determine the number of items where the in-st... show full transcript
Worked Solution & Example Answer:Use TABLE 5 above to answer the questions that follow - NSC Mathematical Literacy - Question 4 - 2023 - Paper 1
Step 1
Write down the modal in-store price for P&P store.
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Answer
The modal in-store price for the P&P store is R12.99, as it is the most frequently occurring price among the listed items.
Step 2
Determine the number of items where the in-store and online prices are the same for the W&W store.
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Answer
There are 7 items where the in-store prices are exactly the same as the online prices in the W&W store.
Step 3
Calculate how much Mrs Swartz would be saving if she bought all the items listed in the table directly from the store rather than shopping online.
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Answer
To calculate Mrs Swartz's savings, first, we find the total in-store price and the total online price.
Total In-store Price for P&P: R208.74
Total Online Price for P&P: R261.80
Total Savings = Total Online Price - Total In-store Price = R261.80 - R208.74 = R53.06.
Mrs Swartz would save R53.06 by purchasing all items directly from the P&P store.
Step 4
Determine the median price of the listed items for in-store shopping in the W&W store.
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Answer
To find the median, we first arrange the in-store prices: 12.99, 14.99, 15.95, 15.95, 19.95, 22.95, 23.99.
The median is the average of the middle two numbers (15.95 and 19.95):
Median = (15.95 + 19.95) / 2 = 17.95.
Thus, the median price for in-store shopping at W&W store is R17.95.
Step 5
Calculate the probability of randomly selecting an item from the P&P store where the in-store price is exactly the same as the online price.
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Answer
From the table, there are 12 items in total and 1 item (R14.89 for tea) where the in-store price matches the online price.
Probability = Number of matching prices / Total prices = 1 / 12 = 0.083 or 8.33%.