Page 173 - Math Smart - 7

O During a football competition, the number of goals scored by each team was recorded.

Construct a frequency table to organise this data.

An airport records the masses of 30 passengers' bags in kilograms.

7.3 12.4 8.4 9.0 9.4 8.7 11.4 7.1 8.8 10.5
6.9 11.1 12.5 9.8 7.8 8.8 10.9 8.8 8.2 8.0
12.1 10.2 8.4 7.4 10.3 9.3 7.8 8.7 8.2 9.2
a) Round the masses to the nearest whole number. Then complete the grouped frequency table.

Mass (kg) Tally Frequency

6-7
8-9
10-11

12-13
Total 1

b) What was the most common mass recorded?

c) What was the mass of the heaviest bag?
d) What was the mass of the lightest bag?
e) How many bags were heavier than 7 kg?
f) How many bags were lighter than 12 kg?
g)* Challenge! Passengers whose bags are heavier than 11 kg must pay an additional fee of $100.
i) How many passengers had to pay the additional fee?
ii) How much money did the airport make in total from the additional fee charged?

0 Lea wants to find out the most common length for a movie.
She records the lengths of the following movies in minutes.

110 99 126 110 100 152 130 137 135 95
89 160 90 111 126 103 121 89 101 83
122 98 140 119 95 96 91 109 164 124
117 87 94 89 91 109 88 124 130 106

a) Help Lea organise the data in a grouped frequency table.
b) How many movies did Lea record?
c) What was the most common movie length in minutes?
d) How long was the longest movie?
e) How long was the shortest movie?

f) How many movies were longer than 120 mln?
g) How many movies were shorter than 90 min?

169