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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.
Answer
The modal in-store price is the price that appears most frequently in the P&P store's in-store price list. From the table, the prices are: 16.50, 16.60, 10.99, 13.99, 12.99, 12.99, 17.49, etc. The mode is R12.99 as it occurs twice, which is the highest frequency.
Step 2
Determine the number of items where the in-store and online prices are the same for the W&W store.
Answer
To find the number of items with the same in-store and online prices at W&W, we will compare both columns. The matching items are: Eggs (R12.99), and Tea (R15.99). Thus, there are 2 items.
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.
Answer
To calculate the savings, first find the total in-store price and total online price:
Total in-store price (P&P) = R208.74 Total online price = R261.80
Savings = Total online price - Total in-store price = R261.80 - R208.74 = R53.06. Mrs Swartz would save R53.06.
Step 4
Determine the median price of the listed items for in-store shopping in the W&W store.
Answer
To find the median, we list the W&W in-store prices in ascending order: 14.99, 15.95, 17.45, 19.99, 19.95, 22.95, 28.99, 30.95. Since there are 8 values, the median will be the average of the 4th and 5th values:
Median = (19.99 + 19.95) / 2 = R19.97.
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.
Answer
The total number of items in the P&P store is 12. The items where the in-store and online prices are the same include: Cabbage (10.99) and Eggs (12.99). Thus, the probability is:
Probability = Number of matching items / Total items = 2 / 12 = 1 / 6 or approximately 0.167.