Cambridge Essentials Mathematics Core 8S2.2 Homework

Cambridge Essentials Mathematics Core 8S2.2 Homework

Cambridge Essentials Mathematics Core 8S2.2 Homework

/ S2.2 Homework

1The local bus does ten trips in one day.
These are the numbers of passengers travelling on each trip.

17 35 23 28 35 28 38 26 10 28

Work out these statistics for the number of passengers.

athe rangebthe modecthe meandthe median

2Jack is cycling to raise money for charity. On the first five days he cycles these distances.

24 km 28 km 25 km 30 km 33 km

aCalculate the total distance he travels in 5 days.

bCalculate the mean distance for the 5 days.

cHe wants his mean distance cycled each day for the entire ride to be 30km.
He has one day left to cycle.
How far must he cycle on the last day if he is to achieve his aim?

3Mr Bracket, a Year-8 Maths teacher, told each pupil in his class their test mark.
He told the whole class the modal mark, median mark and mean mark.

aWhich average would tell the pupils whether they were in the top half or in the bottom half of the class?

bWhich average tells the pupils what the most common mark was?

cWhich average gives pupils the best indication of how well they have done compared to the rest of the class?

4Here is a stem-and-leaf diagram showing the ages of 11 people.

2 / 3 / 3 / 8 / 9
3 / 0 / 4 / 7
4 / 5 / 5 / 5
5 / 7

aWhat is the range of ages?

bWhat is the mode?

cWhat is the mean age?

5Holly did a survey to find out the TV viewing habits of 25 adults and 25 teenagers.

She recorded the total time, in hours, each person spent watching TV one week.

Adults / 20 / 11 / 12 / 15 / 8 / 8 / 27 / 29 / 19 / 19 / 14 / 6 / 10
14 / 14 / 18 / 23 / 11 / 9 / 23 / 5 / 17 / 16 / 14 / 33
Teenagers / 31 / 35 / 20 / 27 / 28 / 29 / 29 / 29 / 13 / 17 / 19 / 40 / 0
29 / 29 / 14 / 15 / 19 / 31 / 18 / 11 / 14 / 6 / 12 / 30

aDraw a stem-and-leaf diagram for the adults’ viewing hours and another for the

teenagers’ viewing hours. Don’t forget to include a key.

bWrite down the modal times for the adults and for the teenagers.

cCalculate the range for both sets of data.

dFind the medians for the adults and for the teenagers.

eCalculate the mean for both sets of data.

fExplain what the two sets of results show.

6The number of shots taken at a par-4 hole on a golf courseis shown in the bar chart.

‘Par-4’ means that it is expected to take four shots to hole the golf ball.

aState the modal number of shots.

bHow many golfers took 4 shots or fewer?

cCalculate the mean number of shots taken by the 30 golfers.

dFind the median number of shots.

eTiger says that it is not difficult to achieve a par score or better on this hole.
Do you agree with him? Explain your answer.

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