Page 112 - Mathematics Coursebook

End of unit review

End of unit review

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1 Here are the numbers of students in nine different classrooms.
Work out: a the mode b the range c the median.
2 A set of masses has a range of 28 g. The smallest mass is 102 g.
Work out the largest mass.
3 While she was on holiday, Olga measured the
temperature at the same time every day. Her results are 5 °C 6 °C −3 °C −5 °C −4 °C 3 °C
shown on the right.
Work out: a the median b the range of the temperatures.
4 Thse are the ages (in years) of eight children in a holiday club.
a Work out: i the range ii the mode iii the median. 8 12 11 10 15 8 8 8
b Now work out what the values will be, in four years’ time, of:
i the range ii the mode iii the median.

5 Bernard recorded the temperature at the same time every day

for five days. 8 °C 12 °C 13 °C 13 °C 0 °C
Work out the mean temperature over these five days.

6 Alexi recorded the numbers of points scored by his favourite basketball
team in six matches. 46 51 33 62 48 75
a Calculate the mean number of points per match.
b Choose the correct answer from those below.
The team scored more than the mean in .......
1 match 2 matches 3 matches 4 matches 5 matches

7 This table shows how many goals Red Stars football team scored in each of 30 matches.

Number of goals 0 1 2 3 4 5
Number of matches 3 6 10 4 5 2

a Complete this sentence: The team scored more than three goals in matches.
b Work out the total number of goals scored.
c Work out the mean number of goals per match.
d The Green Arrows team scored 56 goals in 16 matches.
Was their goal average better or worse that that of Red Stars?

8 A class recorded the masses, in grams, of
20 bags of rice. 490 490 490 490 490 490 495 495 495 495
Their results are shown on the right. 500 500 500 505 505 510 510 515 520 535

The average mass The average mass The average mass
is 490 g. is 497.5 g. is 501 g.

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Explain how all three students could be correct.
Explain how all three students could be correct.
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10 Averages 111