Page 396 - Math Smart - 7

A library has Mathematics books shelved on 10 racks. The number of books
on each rack are given below.
38, 51, 65, 34, 46, 58, 46, 73, 39, 22
Find the mean, median, mode and range.

Mean: Median:
Mode: Range:

The mean mass of the 7 players in a netball team is 59 kg.
a) What is the total mass of the team?
b) A player with a mass of 64 kg is replaced by a player with a mass of
56 kg. Find the new mean mass of the team.

The ages of the members of a choir are given below.

25, 24, 29, 31, 26, 28, 33, 21, 24, 28, 37
a) Find the median age of the choir members.
b) Calculate the mean age of the choir members.
c) If the conductor is 48 years old, calculate the mean age of the choir
members and the conductor.
d) If the composer Is 18 years old, calculate the mean age of the choir
members and the composer.
e) Compare your answers in parts (c) and (d). Explain the difference.

Match each data set to the correct criteria.
Criteria Data set
Mode = 21 and 23
• • 103, 104, 100, 101, 103, 102, 103

Range -
7
Median = 19
• • 4, 9,4,7, 6, 4, 10, 9, 7, 3, 8, 7,4,5,9

Range = 7
Mean = 102.29

• • 21,23, 26, 23, 22,21,27, 28
Range = 3
Mean = 6.4 • •

0.4, 0.6, 0.9, 0.5, 0.3, 0.8, 1.2, 2.3
Median = 7
Range = 2 • •

20, 14, 16, 21, 21, 21, 17, 18
Median = 0.7
)* Challenge!
A team plays 4 matches. The goals scored in the matches are 6, 7, 4 and
7. How many goals do they need to score in their 5''' match in order to
increase their mean score to 7 goals per match?

392 UNIT 17