A cafe owner weighs bags of coffee beans on a digital kitchen scale before repackaging them. She weighed 6 bags and recorded the masses, in grams, of five o...
Question 1 Report
A cafe owner weighs bags of coffee beans on a digital kitchen scale before repackaging them. She weighed 6 bags and recorded the masses, in grams, of five of them as 245, 252, 250, 253 and 246. The scale's display for the sixth bag is shown below.
- Work out the mean mass of the 6 bags of coffee beans. (2)
- Find the range of the masses. (1)
- Find the median mass. (1)
Answer Details
This question tests reading a value from a digital display and combining it with a list of given masses to find the mean, range and median.
- The scale display shows a reading of 248 g, so the six bag masses are 245, 246, 248, 250, 252 and 253 g. Their total is \( 245+246+248+250+252+253 = 1494 \). The mean is \[ \frac{1494}{6} = \] 249 g [2].
- The heaviest bag is 253 g and the lightest is 245 g, so the range is \( 253-245 = \) 8 g [1].
- Placing the six masses in order: 245, 246, 248, 250, 252, 253. The median is the average of the 3rd and 4th values, \( \frac{248+250}{2} = \) 249 g [1].
Read a digital display exactly as shown before doing any further arithmetic; here the mean and median happen to coincide at 249 g, but that is a feature of this particular data set, not something to assume in general.
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