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:
its wrong
mean: 14.692307692307692
median: 15
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:
Apologies for the error. Let's recalculate the measures of center:
mean: Sum of all numbers / Total number of values = (10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14 = 197 / 14 ≈ 14.071
To find the median, we need to rearrange the numbers in ascending order: 5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24. Since we have an even number of values, the median will be the average of the two middle values. In this case, the middle values are 12 and 15, so the median is (12 + 15) / 2 = 27 / 2 = 13.5.
The mode is the number that appears most frequently in the dataset. In this case, the mode is 17, as it appears 3 times, while all other numbers appear only once.
Therefore, the correct measures of center are:
mean: 14.071
median: 13.5
mode: 17
To find the measures of center for the given dataset, we need to find the mean, median, and mode.
Step 1: Find the mean:
To find the mean, we add up all the numbers in the dataset and then divide the sum by the total number of values.
Mean = (10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14
Mean = 216 / 14
Mean = 15.43 (rounded to two decimal places)
Step 2: Find the median:
To find the median, we need to arrange the numbers in numerical order and find the middle value. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values.
Rearrange the numbers in numerical order: 5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24
Since we have an odd number of values, the median is the middle value, which is 15.
Step 3: Find the mode:
The mode is the value that appears most frequently in the dataset.
In the given dataset, the number 17 appears the most number of times (3 times), so the mode is 17.
Summary:
- Mean: 15.43
- Median: 15
- Mode: 17
To find the measures of center for a given dataset, we need to calculate the mean, median, and mode.
Mean:
To find the mean, we sum up all the values in the dataset and then divide it by the total number of values. In this case, we have 14 values.
Mean = (10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14
Mean = 215 / 14
Hence, the mean is approximately equal to 15.36.
Median:
The median is the middle value of a dataset when it is arranged in ascending or descending order. To find the median, we first need to arrange the dataset in ascending order:
5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24
Since the dataset has 14 values, the middle value will be the 7th value when arranged in ascending order:
Median = 12
Hence, the median is 12.
Mode:
The mode is the value that appears most frequently in a dataset. In this case, there are three values that appear multiple times: 11, 17, and 21. Since these values appear more than any others, the dataset is said to have multiple modes.
Hence, the mode is 11, 17, and 21.
To summarize:
Mean: 15.36
Median: 12
Mode: 11, 17, 21
mean: 14.7
median: 15
mode: 17