High School

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Jamil's teacher gives partial points for math questions that are worked correctly except for a calculation error. Jamil's total score on his last homework page was 99.3. Jamil's score is based on a discrete scoring system.

True or False

Answer :

Final answer:

The assumption that Jamil's score is based on a discrete scoring system is false because his score, 99.3, is a fractional one, and discrete values are always whole numbers. The use of percentages and quartiles also means the scoring system isn't discrete.

Explanation:

The phrase 'Jamil's score is based on a discrete scoring system' in this context is false. In a discrete scoring system, individual values are not fractional and are distinct values only. However, Jamil's score is 99.3 which suggests that the scoring system allows for fractional points and is therefore not discrete.

Consider a different situation where student's scores are measured on a scale. For example, four multiple choice statistics final exam scores are 80, 68, 20, and 92 (out of a possible 100 points). If we calculate ratios, we find that the score of 80 is four times better than the score of 20. This suggests that this scoring system is on a ratio scale, not discrete.

Moreover, when there is mention of percentile scores, and quartile positions (for example: Your daughter scored better than 80 percent of the students in her grade on math), these involve comparisons and measurements that go beyond a basic discrete value system.

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Rewritten by : Barada

This statement is false in nature.

What is a discrete scoring system?

Observations that can only take particular numerical values give birth to discrete data. Fractions have no purpose. Calculations or mathematical functions may not be possible under particular circumstances.

Discrete variables, such as age in years, are measured throughout a range of fixed values (not microseconds). These are frequently applied to arbitrary scales, which can also be continuous, such as grading your degree of happiness.

In statistical analysis, discrete data can be utilised as ordered categorical data, although some information is lost in the process.

It is feasible for someone to have 1, 2, 3, etc., but 1.5 children are not significant.

Although the number on a credit card is discrete, it cannot be added to or subtracted from.

The spin or electric charge of a single electron is another classic. Discrete values have an important role in quantum mechanics, a branch of physics that studies the extremely tiny.

Another illustration may be the number of absent pupils on a certain day. Counts are often regarded as precise and integer. But suppose two absences are equivalent to 0.67 suspensions if three absences constitute a suspension.

In statistical analysis, discrete data can be utilised as ordered categorical data, although some information is lost in the process.

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