BCO127 Applied Management Statistics Task brief & rubrics
Task
The following points relate to the Mid-Term Assignment in Week 4:
• This is an individual task and no group work is allowed
• All questions in the Mid-Term Assignment are to be answered
• All calculations and interpretations are to be provided in Word (or PDF or Excel) format.
Task Briefing
The following data shows the results of women’s 200m training camp. Each value below is the time (in seconds) taken on a single 200m lap by each athlete.
30.2 30.1 29.8 29.9 30.1 30 30.2
30 30.1 30 29.7 30.4 30.2 29.8
30.2 30.5 29.9 30 29.9 29.7 30.1
30 30.2 30.2 30.2 30.3 29.3 29.7
30.7 29.6 30 29.8 29.4 30.2 29.9
29.9 30 30 29.9 30 29.9 29.8
29.8 30.1 29.9 30.6 30.2 29.7 29.7
30.1 30 29.9 30.5 30.3 29.9 30.3
30.1 29.9 30.2 30 30 30.1 30.1
29.9 30 29.6 30.2 30.1 30 30
30 29.9 30 30 29.9 30.1 30.4
30.1 29.8 29.9 30.1 29.8 30.5 30.3
30.5 29.9 30.1 30.1 29.8 29.9 30.2
30.2 29.9 30.2 30.3 29.9 30.4 30.4
30.1 29.7 29.7 30 29.7 30.3 30
1.) What is the best graph to use to determine the distribution of frequencies? Explain and draw the most suitable graph for the above data. Explain the
distribution that data follows. (25 points).
The world standard is to reach 30 seconds and the range for acceptance is [29.5;30.50].
2.) Calculate the Central Measures of Location and the Statistical Measures of Spread or Dispersion and determine if this training group is on par with world
standards. What do you conclude about the variability of the athlete results? (25 points)
3.) Calculate the 68%, 95.5% and 99.7% intervals of the above data. (25 points)
The trainer believes that there is a relationship between the time and the age of the athlete. He takes a random sample of twelve athletes. The results are
shown below:
Age 20 22 23 27 28 27 29 29 27 26 27 28
Time 29.7 29.6 29.9 30.1 30.0 30.0 30.1 30.0 30.2 30.1 30.2 30.3
4.) Calculate and interpret the correlation between time and age and explain what you think about trainer’s opinion. (15 points)
5.) Determine the best age to produce a time of 30 seconds on a 200m sprint. (10 points)
Sample Solution