QUESTION 1

Economic hardships have been on the rise for South Africans. Comparing prices of basic grocery items has become the norm. Given below are prices of basic grocery items from different stores.

TABLE 1: PRICE BREAKDOWN OF FOOD ITEMS FROM DIFFERENT STORES

[tex]\[
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Item & Checkers & Pick n Pay & Spar & Woolworths & Shoprite & Food Lovers \\
\hline
Bread & R 18,99 & R 18,99 & R 20,99 & R 18,99 & R 18,99 & R 19,45 \\
\hline
Sunflower oil & R 89,99 & R 94,99 & R 109,99 & R 93,99 & R 89,99 & R 84,99 \\
\hline
Maize meal & R 36,99 & R 42,99 & R 34,99 & R 35,99 & R 36,99 & R 34,99 \\
\hline
White sugar & R 53,99 & R 53,99 & R 56,99 & R 49,99 & R 53,99 & R 54,99 \\
\hline
Milk & R 29,99 & R 29,99 & R 36,99 & R 34,99 & R 28,99 & R 29,99 \\
\hline
Rice & R 36,99 & R 37,99 & R 38,99 & R 37,99 & R 36,99 & R 36,99 \\
\hline
Flour & R 39,99 & R 41,99 & R 49,99 & R 39,99 & R 39,99 & R 39,99 \\
\hline
Soap & R 16,99 & R 12,99 & R 16,99 & R 15,99 & R 16,99 & R 17,99 \\
\hline
Toilet paper & R 84,99 & R 84,99 & R 74,99 & R 78,99 & R 69,99 & R 69,99 \\
\hline
TOTAL & R 408,91 & R 418,91 & & R 406,91 & R 392,91 & R 389,37 \\
\hline
\end{tabular}
\][/tex]

Source: www.iol.co.za

Use TABLE 1 above to answer the questions that follow.

1.1.1 State whether the data above is discrete or continuous.

1.1.2 Write down the modal price for milk.

1.1.3 Identify the minimum price for soap.

1.1.4 Calculate the missing value, the total for Spar.

1.1.5 Determine the difference between the highest and lowest price for sunflower oil.

1.1.6 Name the store that was the cheapest for all the items above.



Answer :

Let's address each sub-question in detail using the provided data:

### 1.1.1 State whether the data above is discrete or continuous.

The data provided represents prices of various grocery items, which are discrete values. This is because prices are countable and listed as specific values without fractions or decimals continuing indefinitely. Therefore, the data is discrete.

### 1.1.2 Write down the modal price for milk.

The modal price is the price that appears most frequently. Looking at the listed milk prices:
- Checkers: R 29.99
- Pickn Pay: R 29.99
- Spar: R 36.99
- Woolworths: R 34.99
- Shoprite: R 28.99
- Food Lovers: R 29.99

The most common price for milk is R 29.99.

### 1.1.3 Identify the minimum price for soap.

The prices of soap from different stores are as follows:
- Checkers: R 16.99
- Pickn Pay: R 12.99
- Spar: R 16.99
- Woolworths: R 15.99
- Shoprite: R 16.99
- Food Lovers: R 17.99

The minimum price for soap is R 12.99 from Pickn Pay.

### 1.1.4 Calculate the missing value A, the total for Spar.

To find the total cost of all items at Spar, sum the prices of each item:
- Bread: R 20.99
- Sunflower oil: R 109.99
- Maize meal: R 34.99
- White sugar: R 56.99
- Milk: R 36.99
- Rice: R 38.99
- Flour: R 49.99
- Soap: R 16.99
- Toilet paper: R 74.99

Adding these together:
[tex]\[ R 20.99 + R 109.99 + R 34.99 + R 56.99 + R 36.99 + R 38.99 + R 49.99 + R 16.99 + R 74.99 = R 440.91 \][/tex]

So, the total for Spar is R 440.91.

### 1.1.5 Determine the difference between the highest and lowest price for sunflower oil.

The prices of sunflower oil from different stores are:
- Checkers: R 89.99
- Pickn Pay: R 94.99
- Spar: R 109.99
- Woolworths: R 93.99
- Shoprite: R 89.99
- Food Lovers: R 84.99

The highest price is R 109.99 (Spar) and the lowest price is R 84.99 (Food Lovers). The difference between the highest and lowest price is:
[tex]\[ R 109.99 - R 84.99 = R 25.00 \][/tex]

### 1.1.6 Name the store that was the cheapest for all the items above.

The total costs for each store are:
- Checkers: R 408.91
- Pickn Pay: R 418.91
- Spar: R 440.91
- Woolworths: R 406.91
- Shoprite: R 392.91
- Food Lovers: R 389.37

The cheapest store in terms of total cost for all the items is Food Lovers with a total of R 389.37.