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Use TABLE 5 above to answer the questions that follow - NSC Mathematical Literacy - Question 4 - 2023 - Paper 1

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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 this is the price that appears most frequently 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

For the W&W store, there are 7 items where the in-store and online prices are the same.

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

The total in-store price for all items is R208.74. The total online price is R261.80.

The amount saved by shopping in-store would be calculated as:

extSavings=extOnlinePriceextInstorePrice=261.80208.74=R53.06 ext{Savings} = ext{Online Price} - ext{In-store Price} = 261.80 - 208.74 = R53.06

Thus, 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.

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Answer

To find the median price for in-store shopping in the W&W store, the prices must be arranged in ascending order. The prices are as follows: R12.95, R14.99, R15.95, R19.95, R22.95, R23.99, R27.95.

The median is the average of the middle two values:

ext{Median} = rac{R19.95 + R22.95}{2} = rac{42.90}{2} = R21.45

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

The total number of items listed is 12. There are 2 items where the in-store price is equal to the online price.

The probability can be calculated as:

P = rac{ ext{Number of favorable outcomes}}{ ext{Total outcomes}} = rac{2}{12} = rac{1}{6}

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