Use TABLE 5 to answer the questions that follow - NSC Mathematical Literacy - Question 5 - 2020 - Paper 1

To calculate the range of G Gilliland's scores, subtract the lowest score from the highest score:

Range = Highest Score - Lowest Score

= 9.950 - 9.425 = 0.525.

To find the mean score for the bar event, sum all the scores and divide by the number of scores:

Mean = ( \frac{(9.100 + 9.300 + 8.650 + 9.100 + 8.750 + 9.050 + 9.200)}{7} )

= ( \frac{62.300}{7} ) = 8.975.

Given that the total scores must sum to a specific value and we have the scores for all other events, we can solve for A:

Total Score = G Gilliland + H Raede + ... + A = 36,425.

Therefore, missing value A can be calculated through the total required minus the known values.

The modal score is the score that appears most frequently. From the total scores, the mode is 36,425 as it appears most often.

To determine this percentage, count the eligible Junior gymnasts with scores above 36,970, then divide by the total number of Junior gymnasts:

Probability (%) = (Number of Junior gymnasts with total scores > 36,970 / Total Junior gymnasts) * 100.

Quartile 2 (Q2) is the median of the dataset. Arrange the floor scores in ascending order and find the middle value:

Q2 = ( \frac{(9.250 + 9.300)}{2} ) = 9.275.