Math Sba Sample 1

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NAME:
SCHOOL:
YEAR: 2018-2019
Subject: Mathematics
Teacher: Mr E Daniel
TERRITORY: St. Vincent and the Grenadines
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PROJECT TITLE
Do tall persons run faster than short persons?

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TABLE OF CONTENTS
 PROJECT TITLE………………………………..,………… PAGE 2
 INTRODUCTION/OBJECTIVES/METHOD OF DATA
COLLECTION/DESCRIPTION OF PROJECT…………PAGE 4
 PRESENTATION OF DATA………………….…………..PAGES 5 - 6
 GRAPHS……………………………………………………PAGE 6
 ANALYSIS OF DATA…………………….………………PAGE 7
 DISCUSSION OF FINDINGS /CONCLUSION………….PAGE 7

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INTRODUCTION
I am a fan of athletics. People always say that tall persons run faster than shorter persons.
It is well known fact that Jamaican sprinter Usain bolt is the world's fastest man and it is known
that he is over 6 feet tall and has long legs to enable him to cover more distance in a short time
period. I would like to conduct an investigation into the sprinting activity to see if there is any
connection between height and speed of an athlete in a 100 metres event.
OBJECTIVES
1. To measure and record the heights of nine athletes.
2. To record the finishing times of each athlete in in two (2) trials of a 100m event
3. To determine if there is a connection between the height of an athlete and his/her
finishing time in a 100 m event.
METHOD OF DATA COLLECTION

 I selected 9 athletes, measured and recorded their heights in a table.
 I asked the persons to complete 2 trials of a 100m event and recorded their finishing
times.
 The data was used to calculate the average finishing times of each athlete
DESCRIPTION OF PROJECT
The project was undertaken to see if tall persons would run faster that shorter persons. Nine
persons were selected to run a 100m race to determine the outcome. Graphs were generated from
the data. Following this, the data was analysed. I then discussed the findings of the research. The
investigation revealed that that the shorter athletes had the fastest times. I then concluded that a
tall athlete does not necessarily and automatically have a fast finishing time in a 100 m event
than a shorter athlete.
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PRESENTATION OF DATA
Table 1: showing the finishing times of 9 athletes in a 100m race.
Athletes Height in (cm) Race Race Average speed:

1:(seconds) 2: (seconds) ( 2 d.p)
1 180.64 15.0 14.57 14.79
2 180.36 14.55 14.54 14.55
3 176.756 14.23 14.22 14.23
4 174.82 13.52 13.54 13.53
5 170.687 13.0 13.0 13.00
6 167.58 13.45 13.49 13.47
7 159.512 12.32 12.30 12.31
8 158.392 13.58 13.55 13.57
9 155.42 13.12 13.16 13.14
TABLE 2: showing average speed to 1dp

Athletes Average speed to 1dp
1 14.8
2 14.6
3 14.2
4 13.5
5 13.0
6 13.5
7 12.3
8 13.6
9 13.1
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FIG 1: line graph showing average speed of athletes
FIG 2: Bar graph showing heights of athletes and average finishing times.
Figure 1
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ANALYSIS OF DATA
Table 1:
The table indicates that the heights of the athletes, range from 180.64 to 155.42 cm. The average
speed of the athletes ranges from 14.79(seconds) to 13.14(seconds). The second table is drawn to
show the average speed of the athletes to 1 decimal place.
Line graph:
The line graph reveals that the gradient of each line except for athletes 5 and 7 are negative. This
shows that there is both a negative and positive relationship between the height and finishing
times of the athlete.
Bar chart:
The bar chart shows that the tallest bars were for the two tallest athletes. This shows that the
taller athletes had slower finishing times than the shorter athletes.
DISCUSSION OF FINDINGS / CONCLUSION:
From the table you can see that as the athletes gets shorter, they finish the 100m in less
time It also shows that the fastest time recorded was that of athlete 7(one of the shorter athletes)
with the time of 12.31seconds.
From the bar chart it was determined by examining the heights of the bars that the taller
athletes had the slower average finishing times than the shorter athletes.
The line graph has a negative gradient in a general sense. This means as height
decreases, the average finishing times decreases as well.
From the data above, I can conclude that as the athlete gets taller he /she takes more time
to complete the race. This is not what I expected when I started this project. This surprising
result could be because of the level of fitness of the persons who were selected to take part in the
School-Based Assessment.
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1

TERRITORY: St. Vincent and the Grenadines

Do tall persons run faster than short persons?

 PROJECT TITLE………………………………..,………… PAGE 2

 DISCUSSION OF FINDINGS /CONCLUSION………….PAGE 7

METHOD OF DATA COLLECTION

Table 1: showing the finishing times of 9 athletes in a 100m race.

Athletes Height in (cm) Race Race Average speed:

TABLE 2: showing average speed to 1dp

FIG 1: line graph showing average speed of athletes

DISCUSSION OF FINDINGS / CONCLUSION:

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