Question

Find the measures of center—mean, median, and mode—for the given dataset. 10,17,11,24,12,7,151,17,20,5,11,21,16,17

mean, median, mode

Answer 1

no

Answer 2

Mean = (10 + 17 + 11 + 24 + 12 + 7 + 151 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14 = 18.5

To find the median, we first need to sort the data in ascending order: 5, 7, 10, 11, 11, 12, 16, 17, 17, 17, 20, 21, 24, 151

Since there are 14 numbers, the median is the average of the 7th and 8th numbers: (12 + 16) / 2 = 14

The mode is the number that appears the most frequently in the dataset. In this case, 17 appears the most frequently, with a frequency of 3.

Therefore, the measures of center are:
Mean = 18.5
Median = 14
Mode = 17

Answer 3

I apologize for the mistake in my previous response. Let's re-calculate the measures of center.

Mean:
(10 + 17 + 11 + 24 + 12 + 7 + 151 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14 = 23.14

Median:
To find the median, we first need to sort the data in ascending order: 5, 7, 10, 11, 11, 12, 16, 17, 17, 17, 20, 21, 24, 151

Since there are 14 numbers, the median is the average of the 7th and 8th numbers: (12 + 16) / 2 = 14

Mode:
In this dataset, the number 17 appears most frequently (3 times), so the mode is 17.

Therefore, the correct measures of center for the given dataset are:
Mean = 23.14
Median = 14
Mode = 17