Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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 your 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.
please help i need this answer today! please help!
First arrange the numbers properly.
61,81,81,87,89,93
Then calculate the Median.
Median=84
Then calculate the Mode.
Mode=81
Then calculate the Mean.
Mean=82
Comparing these numbers, we can see that the median gives him the best score, so he should use that.
thanks]\
To determine which measure Jack should use to make his performance sound as good as possible, we need to calculate the mean, median, and mode of his exam grades. Here's how you can do it:
Step 1: Calculate the mean:
To find the mean, you need to sum up all the exam scores and divide the total by the number of scores. Let's calculate it:
81 + 87 + 93 + 89 + 61 + 81 = 392
To find the average, divide the sum by the number of scores:
392 / 6 = 65.33 (rounded to two decimal places)
Step 2: Calculate the median:
To find the median, you need to arrange the exam scores in ascending order and find the middle value. Let's organize the scores:
61, 81, 81, 87, 89, 93
Since there are six scores, the middle value will be the average of the third and fourth scores:
(81 + 87) / 2 = 84
Step 3: Calculate the mode:
The mode is the value(s) that appear most frequently. In Jack's case, we can see that the score 81 appears twice, which is more than any other score. Hence, the mode is 81.
Now, let's compare the three measures:
Mean: 65.33
Median: 84
Mode: 81
Since the mean is lower than both the median and the mode, it might make Jack's performance sound worse than it actually is. The median is higher than the mean but lower than the mode, so it could make his performance sound slightly better. However, the mode, which is 81, is the highest value among the three measures. Therefore, if Jack wants to make his performance sound as good as possible, he should use the mode when talking about his exam grades.
So, the measure he should use is the mode of his exam grades.