## Question 6(i):

**Advantage:**
Comment referring to spread or range or shape | B1 | Comments referring to quartiles, IQR, Range, median, shape, skewness, data distribution, spread score B1. Any comments with reference to mean or standard deviation or any other 'disadvantage' will score B0. Comments referring to '5-value plot', comparison with another data set, overview or ease of drawing/plotting/reading require an appropriate advantage statement.

**Disadvantage:**
Comment referring to limited data information provided | B1 | Comments referring to no individual data, no information about the number of values, unable to calculate mean, standard deviation, variance and mode score B1. Any comments with reference to median, shape or any other 'advantage' will score B0. Comments referring to 'size of data set' or 'average' require an appropriate disadvantage statement. Comments referring to outliers are ignored in all cases unless supported by an appropriate advantage/disadvantage statement. If comments not clearly identified, assume first comment is the advantage.

**Total: 2 marks**

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## Question 6(ii):

Not mean as data skewed by one large value | B1 | Comment which identifies 768 (or 'a very large number') as the problem. Condone the use of 'outlier'

Not mode as frequencies all the same | B1 | Comment which indicates that no mode exists (e.g. all the data is different, there is no repeated number, all the values are different)

Median | B1 | Median identified as choice, dependent upon statements for mean and mode being given, even if incorrect or very general.

**SC: Mean is identified as most suitable:**

Not mode as frequencies all the same | SCB1 | Comment which indicates that no mode exists

Not median as not all values used | SCB1 | Comment which indicates limitation of median e.g. median is not in middle of range.

**Total: 3 marks**

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## Question 6(iii)(a):

$LQ = 256$ or $256.5$, $Med = 280$, $UQ = 329$, $Min\ 190$, $max\ 375$ | B1 | Median, UQ and LQ values seen, may not be identified or identified correctly. (Not read from box plot unless value stated)

Box plot drawn with median and quartiles plotted | B1 | FT Median and quartiles plotted in box on graph, linear scale

Correct end points, whiskers from ends of box | B1 | Correct end points, whiskers from ends of box but not through box, not at top or bottom of box

Uniform scale from 190 to 375, axis labelled 'time' and 'minutes' | B1 | Uniform scale from 190 to 375 (need at least 3 linear identified points min) and labelled 'time' and 'minutes' (can be in title). **No time axis or time axis with no scale attempt**, Max B1B0B0B0

**Total: 4 marks**

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## Question 6(iii)(b):

$IQR = their\ 329 - their\ 256 = 73$ or $72.5$ | B1 | FT Must follow through only from *their* stated values (condone if correct quartiles stated here), not reading from graph.

**Total: 1 mark**

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