Find the measures of center—mean, median, and mode—for the given dataset.
10, 17, 11, 24, 12, 7, 15, 17, 20, 5, 11, 21, 16, 17
(2 points)
Mean: To find the mean, we add up all the numbers in the dataset and divide by the total number of values.
Mean = (10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14 = 199 / 14 = 14.2
Median: To find the median, we first rearrange the numbers in ascending order and then find the middle value. If there is an even number of values, we take the average of the two middle values.
In this case, the numbers in ascending order are 5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24.
Since there are 14 values, the median is the average of the seventh and eighth numbers: (12 + 15) / 2 = 27 / 2 = 13.5
Mode: The mode is the value(s) that appear most frequently in the dataset.
In this case, the number 17 appears three times, which is more than any other number in the dataset. Therefore, the mode is 17.
Mean: 14.2
Median: 13.5
Mode: 17
AYE BRU THOSE ARE WRONG ANSWERS
To find the measures of center—mean, median, and mode—for the given dataset, follow these steps:
Step 1: Sort the dataset in ascending order:
5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24
Step 2: Find the mean:
Mean = sum of all the values / number of values
Mean = (5 + 7 + 10 + 11 + 11 + 12 + 15 + 16 + 17 + 17 + 17 + 20 + 21 + 24) / 14
Mean = 235 / 14
Mean ≈ 16.79
Step 3: Find the median:
Since there are 14 values in the dataset, the median is the average of the two middle values when the dataset is sorted. In this case, the two middle values are 12 and 15.
Median = (12 + 15) / 2
Median = 27 / 2
Median = 13.5
Step 4: Find the mode:
The mode is the value(s) that appears most frequently in the dataset.
In this dataset, the value 17 appears three times, which is more than any other value.
Therefore, the mode is 17.
So, the measures of center for the given dataset are:
Mean ≈ 16.79
Median = 13.5
Mode = 17
I apologize for the incorrect answers. Let me recalculate them.
Mean: To find the mean, we add up all the numbers in the dataset and divide by the total number of values.
Mean = (10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14 = 207 / 14 = 14.79
To find the median, we first rearrange the numbers in ascending order and then find the middle value. If there is an even number of values, we take the average of the two middle values.
In this case, the numbers in ascending order are 5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24.
Since there are 14 values, the median is the average of the seventh and eighth numbers: (12 + 15) / 2 = 27 / 2 = 13.5
Mode: The mode is the value(s) that appear most frequently in the dataset.
In this case, the number 17 appears three times, which is more than any other number in the dataset. Therefore, the mode is 17.
Mean: 14.79
Median: 13.5
Mode: 17