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:
; median:
; mode:
To find the mean, we sum up all the values 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
Mean: 208 / 14
Mean: 14.857 (rounded to three decimal places)
To find the median, we first need to arrange the dataset in order from least to greatest:
5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24
Now we look for the middle number. Since we have 14 numbers, the middle two numbers are at positions 7 and 8. We take the average of these two numbers to find the median:
Median: (12 + 15) / 2
Median: 13.5
To find the mode, we look for the number(s) that occur most frequently in the dataset:
Mode: 17
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:
; median:
; mode:
To find the mean, we sum up all the values 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
Mean: 208 / 14
Mean: 14.857 (rounded to three decimal places)
To find the median, we first need to arrange the dataset in order from least to greatest:
5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24
Now we look for the middle number. Since we have 14 numbers, the middle number is at position 7.
Median: 15
To find the mode, we look for the number(s) that occur most frequently in the dataset:
Mode: 17
To find the measures of center for the given dataset, let's first calculate the mean.
Mean:
To find the mean, add up all the numbers in the dataset and then divide the sum by the total number of values.
(10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14 = 210 / 14 = 15
Therefore, the mean of the dataset is 15.
Median:
To find the median, arrange the numbers in ascending order and then find the middle value.
1 5 7 10 11 11 12 15 16 17 17 17 20 21 24
Since the dataset has 14 values, the middle two values are the 7th and 8th numbers, which are 12 and 15, respectively.
To find the median, take the average of the two middle values.
Median = (12 + 15) / 2 = 27 / 2 = 13.5
Therefore, the median of the dataset is 13.5.
Mode:
The mode is the most frequently occurring value in the dataset.
In the given dataset, the number 17 appears the most (three times). Therefore, the mode is 17.
To summarize:
- Mean: 15
- Median: 13.5
- Mode: 17