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: [ ? ]

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the mean, median, and mode for the given dataset, we first need to organize the data in ascending order:

5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24

Mean (average):
To find the mean, we add up all the numbers and divide by the total number of values.
(5 + 7 + 10 + 11 + 11 + 12 + 15 + 16 + 17 + 17 + 17 + 20 + 21 + 24) / 14 = 197 / 14 = 14.07 (approx.)

Median:
To find the median, we need to find the middle number. Since there are 14 values, the median will be the average of the 7th and 8th numbers in the ordered list.
Median = (12 + 15) / 2 = 13.5

Mode:
The mode is the number that appears most frequently in the dataset. In this case, the mode is 17 because it appears three times, more than any other number.

Therefore, the measures of center for the given dataset are:
Mean: 14.07
Median: 13.5
Mode: 17

Answer 2

u got the 17 right

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the oversight. Let's correct the mean and median.

Mean:
(5 + 7 + 10 + 11 + 11 + 12 + 15 + 16 + 17 + 17 + 17 + 20 + 21 + 24) / 14 = 198 / 14 = 14.14

Median:
Since there are 14 values, the median will be the average of the 7th and 8th numbers in the ordered list.
Median = (12 + 15) / 2 = 13.5

Corrected measures of center:
Mean: 14.14
Median: 13.5
Mode: 17

Answer 4

17 is the only one right

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the errors in my previous responses. Let's recompute the measures of center for the given dataset: 10, 17, 11, 24, 12, 7, 15, 17, 20, 5, 11, 21, 16, 17

Mean:
(10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14 = 198 / 14 = 14.14 (approx.)

Median:
Since there are 14 values, the median will be the average of the 7th and 8th numbers in the ordered list:
Median = (12 + 15) / 2 = 13.5

Mode:
The mode is the number that appears most frequently in the dataset. In this case, the mode is 17 because it appears three times.

Therefore, the correct measures of center for the given dataset are:
Mean: 14.14
Median: 13.5
Mode: 17