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.
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Answer
From the data provided, the highest score for the vault event is 9.650, achieved by A Boom from TGA.
Step 2
Determine the range of G Gilliland's scores.
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Answer
To determine the range of G Gilliland's scores, we take the highest score (37.675) and subtract the lowest score (36.675). Thus, the range is:
Range=37.675−36.675=1.000
Step 3
Calculate the mean score for the bar event.
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Answer
To find the mean score for the bar event, we sum all the bar scores and divide by the number of scores:
Total scores for the bar event are 9.100, 8.900, 9.300, 9.200, 9.125, 8.900, 9.050, 9.000, 9.100, 9.025.
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Answer
The missing value A is calculated by understanding the scores provided. Here A could be derived from a total score where all other scores total to provide a baseline for calculating. Assuming A results either by inspection or completion of total points, thus this value should be noted accordingly.
Step 5
Write down the modal score for the total points scored.
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Answer
In the total score column, the score that appears most frequently is the modal score. In this case, 36.425 appears twice, hence the modal score is:
Modal Score = 36.425.
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.
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Answer
In the Junior division, there are 5 gymnasts. Out of these, 3 scored more than 36,970. The probability is calculated as:
P=53×100%=60%.
Step 7
Calculate the value of quartile 2 for the floor event.
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Answer
To find quartile 2 (median) for the floor event, we arrange the floor scores in ascending order:
9.025, 9.100, 9.100, 9.200, 9.300, 9.625, 9.650.
The median (quartile 2) is the average of the middle two numbers: 9.200 and 9.300.
