There are 22 players on the Irish rugby squad for a game - Junior Cycle Mathematics - Question 6 - 2012
Question 6
There are 22 players on the Irish rugby squad for a game. Their heights (in centimetres) are given below.
180, 188, 185, 180, 183, 177, 180, 183, 190, 191, 185, 185... show full transcript
Worked Solution & Example Answer:There are 22 players on the Irish rugby squad for a game - Junior Cycle Mathematics - Question 6 - 2012
Step 1
What is the height of the tallest player?
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The tallest player has a height of 198 cm.
Step 2
How many of the players are over 184 cm in height?
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
There are 12 players who are over 184 cm in height.
Step 3
What percentage of the players are below 181 cm in height?
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To calculate the percentage of players below 181 cm:
Count the number of players below 181 cm: 7 players.
Calculate the percentage:
extPercentage=(227)×100≈31.82%⇒32%.
Thus, 32% of the players are below 181 cm in height.
Step 4
Find the median arm span.
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the median arm span:
Arrange the arm spans in ascending order:
176, 178, 180, 182, 182, 185, 185, 186, 190, 190, 193, 196.
The number of players is 12 (even), so the median is the average of the 6th and 7th values:
Median=2185+186=185.5 cm.
Step 5
Complete the table below to show the height and arm span of the tallest and shortest player in the squad.
97%
117 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Player
Height (cm)
Arms span (cm)
Tallest
198
201
Shortest
177
176
Step 6
Write the ratio of height to arm span for (i) the tallest player and (ii) the shortest player in part (e).
97%
121 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The ratio of height to arm span is:
Tallest: 198:201
Shortest: 177:176.
Step 7
Write each ratio in (f) above as a decimal.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the decimal ratios:
Tallest: 201198≈0.99
Shortest: 176177≈1.01.
Step 8
The coach is 170 cm tall. What would you expect his arm span to be? Give a reason for your answer.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Answer: 170 cm.
Reason: The ratio of height to arm span for most athletes is approximately 1:1, so it is reasonable to expect the coach's arm span to be close to his height.
Join the Junior Cycle students using SimpleStudy...
