Analyze Data Shape and Context Practice
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Question
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, add up all the numbers in the dataset and then divide it by the total number of values:
10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17 = 198
There are 14 numbers in the dataset, so the mean is 198/14 = 14.14 (rounded to two decimal places).
To find the median, first arrange the numbers in ascending order:
5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24
Since there are 14 numbers, the median is the average of the 7th and 8th numbers. Therefore, the median is (12 + 15)/2 = 13.5.
To find the mode, determine which number appears most frequently in the dataset. In this case, the number 17 appears 3 times, which is the highest frequency, so the mode is 17.
its incorrect
Apologies for the incorrect answer. Let's recalculate the measures of center for the given dataset.
To find the mean, add up all the numbers in the dataset and then divide it by the total number of values:
10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17 = 198
There are 14 numbers in the dataset, so the mean is 198/14 = 14.14 (rounded to two decimal places).
To find the median, first arrange the numbers in ascending order:
5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24
Since there are 14 numbers, the median is the average of the 7th and 8th numbers. Therefore, the median is (12 + 15)/2 = 13.5.
To find the mode, determine which number appears most frequently in the dataset. In this case, the number 17 appears 3 times, which is the highest frequency, so the mode is 17.
I apologize for any confusion caused by the previous response. Please let me know if you have any further questions.
mean: The mean is calculated by adding up all the values in the dataset and dividing the sum by the total number of values.
To find the mean for the given dataset, add up all the values 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 = 221 / 14
mean ≈ 15.79
median: The median is the middle value of a dataset when the values are arranged in ascending or descending order.
To find the median for the given dataset, arrange the values in ascending order:
5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24
Since there are 14 values in the dataset, the 7th and 8th values are the middle values:
median = (12 + 15) / 2
median = 27 / 2
median ≈ 13.5
mode: The mode is the value that appears most frequently in a dataset.
In the given dataset, the value 17 appears three times, which is more frequently than any other value:
mode = 17
So, the measures of center for the given dataset are:
mean ≈ 15.79
median ≈ 13.5
mode = 17