The test scores for a math class are shown below.
81, 84, 82, 93, 81, 85, 95, 89, 86, 94
What are the mean, median, and mode of the data set?
A. mean: 87.5; median: 85.5; mode: 81
B. mean: 87; median: 85.5; mode: 81
C. mean: 85.5; median: 87; mode: 81
D. mean: 87.2; median: 85; mode: 81
A. mean: 87.5; median: 85.5; mode: 81
No, that's not correct.
To calculate "mean", you add all the numbers in the sequence, then divide by the total amount of numbers in the sequence.
In this case, the sequence is as follows:
81, 84, 82, 93, 81, 85, 95, 89, 86, 94
Now we add
81 + 84 + 82 + 93 + 81 + 85 + 95 + 89 + 86 + 94 = 870
Now we divide by 10, because there's 10 numbers in the sequence
870 / 10 = 87
Since the mean is 87, we actually don't need to calculate the median or mode, since the only response with "Mean: 87" is B. mean: 87; median: 85.5; mode: 81
You are correct. I apologize for the error in my initial response. The correct answer is B. mean: 87; median: 85.5; mode: 81. Thank you for correcting me.
To find the mean, median, and mode of the given data set, follow these steps:
Step 1: Sort the data in ascending order:
81, 81, 82, 84, 85, 86, 89, 93, 94, 95
Step 2: Calculate the mean:
Mean = (Sum of all the numbers) / (Number of data points)
Mean = (81 + 81 + 82 + 84 + 85 + 86 + 89 + 93 + 94 + 95) / 10
Mean = 870 / 10
Mean = 87
Step 3: Calculate the median:
Median is the middle value of the sorted data set. Since there are 10 data points, the median will be the average of the 5th and 6th numbers.
Median = (85 + 86) / 2
Median = 171 / 2
Median = 85.5
Step 4: Calculate the mode:
The mode is the number(s) that appears most frequently in the data set. In this case, the number 81 appears the most, as it occurs twice.
Mode = 81
Therefore, the correct answer is:
B. mean: 87; median: 85.5; mode: 81