Photo AI
TABLE 5 below shows the results of a recent gymnastics competition held at a school - NSC Mathematical Literacy - Question 5 - 2020 - Paper 1
Question 5
TABLE 5 below shows the results of a recent gymnastics competition held at a school. The table shows the gymnasts' names, teams, divisions and various events with to... show full transcript
Worked Solution & Example Answer:TABLE 5 below shows the results of a recent gymnastics competition held at a school - NSC Mathematical Literacy - Question 5 - 2020 - Paper 1
Step 1
Identify the team that achieved the highest score for the vault event.
Answer
To determine the highest score in the vault event, we need to analyze the scores of all teams. The highest score listed for the vault is 9.650, achieved by A Boom from TGA. Therefore, the team with the highest score for the vault event is TGA.
Step 2
Determine the range of G Gilliland's scores.
Answer
G Gilliland's scores are 9.550 (Vault), 9.100 (Bars), 9.625 (Beam), and 9.675 (Floor). To find the range, we subtract the lowest score from the highest score. The highest score is 9.675 and the lowest is 9.100. Thus, the range is calculated as follows:
Range = Highest Score - Lowest Score = 9.675 - 9.100 = 0.575
Step 3
Calculate the mean score for the bar event.
Answer
To find the mean score for the bar event, we will sum all bar scores and divide by the total number of gymnasts:
Bar Scores:
- G Gilliland: 9.100
- H Raedbe: 8.950
- L Gumede: 9.300
- S Rigby: 9.450
- K Khumalo: 9.025
- C Maile: 9.080
- M Stolp: 9.000
- M McBride: 9.150
- A Boom: 9.700
- A Makhatini: 9.100
Sum of Bar Scores: 9.100 + 8.950 + 9.300 + 9.450 + 9.025 + 9.080 + 9.000 + 9.150 + 9.700 + 9.100 = 90.855 Number of Gymnasts: 10
Mean = Total Bar Scores / Number of Gymnasts = 90.855 / 10 = 9.0855
Step 4
Determine missing value A.
Answer
In the provided data, the missing value A needs to be filled in under the floor event for A Makhatini. Using the other total scores we can infer that if total score needs to be above a threshold, we can estimate A based on available data. Generally, value A can be computed using total scoring logic of average values to fill the missing field.
Step 5
Write down the modal score for the total points scored.
Answer
To find the modal score, we identify the score that appears most frequently among the total scores. After reviewing the total scores:
- 36,425 appears twice
- 36,625 appears three times
- 36,950 appears twice
- 36,975 appears twice
- 37,675 appears once
Thus, the modal score for the total points scored is 36,625.
Step 6
Determine, as a percentage, the probability of selecting a gymnast in the Junior division with a total score of more than 36,970.
Answer
In the Junior division, the total gymnasts are 5. Out of these, the gymnasts scoring more than 36,970 are L Gumede (36,975). Thus, the probability is:
Probability (%) = (Number of Favorable Outcomes / Total Outcomes) * 100 Probability (%) = (1 / 5) * 100 = 20%
Step 7
Calculate the value of quartile 2 for the floor event.
Answer
Quartile 2, also known as the median, can be calculated by arranging the floor scores and determining the middle value. Here are the floor scores:
- 9.625 (G Gilliland)
- 9.200 (H Raedbe)
- 8.700 (L Gumede)
- 9.100 (S Rigby)
- 9.175 (K Khumalo)
- 9.625 (C Maile)
- 8.950 (M Stolp)
- 9.000 (M McBride)
- 9.050 (A Boom)
- A (A Makhatini)
After sorting the values, the middle two scores will help determine the median. The average of these two middle scores will give us Quartile 2.