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Jack has the following scores on exams in his math class.
81, 87, 93, 89, 61, 81
If he wants to make his performance sound as good as possible, which measure should he use—the mean, the median, or the mode of his exam grades when he talks about how he is doing? Explain.
In you response, make sure to:
calculate the mean,
calculate the median, and
calculate the mode of his exam grades
compare and pick the measure that makes his performance sound as good as possible.
HELP!!!
To determine which measure—mean, median, or mode—will make Jack's performance sound as good as possible, let's calculate each of these measures using his exam grades.
1. Mean:
To find the mean, we need to add up all the exam grades and divide the sum by the total number of grades. In this case, Jack has 6 exam grades.
Calculating the mean:
Mean = (81 + 87 + 93 + 89 + 61 + 81) / 6
Mean = 492 / 6
Mean ≈ 82
So, the mean of Jack's exam grades is approximately 82.
2. Median:
To find the median, we need to arrange the exam grades in ascending order and find the middle value. If there are an even number of grades, we take the average of the two middle values.
Arranging the grades in ascending order:
61, 81, 81, 87, 89, 93
Since there are 6 grades, the middle values are the 3rd and 4th grades. Taking their average:
Median = (81 + 87) / 2
Median = 168 / 2
Median = 84
So, the median of Jack's exam grades is 84.
3. Mode:
The mode is the value that appears most frequently in the set of exam grades. If there are multiple values with the same highest frequency, the set is said to be multimodal.
In Jack's case, the mode is 81 because it appears the most frequently (twice). Therefore, the mode of his exam grades is 81.
Now let's compare these measures to determine which one makes Jack's performance sound as good as possible.
The mean is 82, the median is 84, and the mode is 81.
Since the mean and median are closer to each other than to the mode, and the mode is the lowest value among them, we can conclude that using the median (84) as the measure of his performance would make it sound as good as possible.
mean = sum of scores/ number of scores.
For median, arrange scores in order of value and pick middle one.
Mode is the most frequently observed score.
To make his score seem best, choose the lowest value.
Now you do the calculations.