A shopper checks her supermarket receipt at the kitchen table after a busy weekly shop, curious how the prices compare across what she bought. The price of ...
Question 1 Report
A shopper checks her supermarket receipt at the kitchen table after a busy weekly shop, curious how the prices compare across what she bought. The price of six items is listed in the table below.
| Item | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Price (£) | 2.30 | 4.10 | 1.85 | 3.60 | 5.25 | 6.90 |
- Find the median price of the six items. (2)
- Work out the mean price of the six items. Give your answer correct to 2 decimal places. (2)
Answer Details
This question tests calculating a median and a mean from a small list of prices.
- Sorting the prices: 1.85, 2.30, 3.60, 4.10, 5.25, 6.90. With 6 values, the median is the average of the 3rd and 4th values: \[ \frac{3.60+4.10}{2} = \] £3.85 [2].
- The total of the six prices is \( 2.30+4.10+1.85+3.60+5.25+6.90 = 24.00 \). The mean is \[ \frac{24.00}{6} = \] £4.00 [2].
Always sort the raw values before picking out a median; reading off the "middle" price from the table in its original, unsorted order (by item number) would give the wrong answer here.
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