Find the measures of center—mean, median, and mode—for the given dataset.hi

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

(2 points)
mean:
; median:
; mode:

11 answers

mean: 13.92
median: 15
mode: 17
the mean and median are both incorrect
I apologize for the mistake. Let's recalculate.

mean: To find the mean, we sum up all the numbers in the dataset and divide by the total number of values.
(10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) / 14 = 188 / 14 = 13.43

Since we have 14 numbers in the dataset, the median is the average of the two middle numbers when the numbers are listed in order.

In this case, when the numbers are listed in order, the middle two numbers are 12 and 15. So, the median is the average of these two numbers:
(12 + 15) / 2 = 27 / 2 = 13.5

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

Therefore, the correct measures of center are:
mean: 13.43
median: 13.5
mode: 17
Summarize the dataset by finding its measures of center—mean, median, and mode.

20, 30, 32, 16, 31, 32, 13, 20, 28, 32, 15, 18, 20, 21, 32

(1 point)
Responses

mean: 22.5; median: 21; mode: 20
mean: 22.5; median: 21; mode: 20

mean: 21; median: 24; mode: 32
mean: 21; median: 24; mode: 32

mean: 24; median: 24.5; mode: 20
mean: 24; median: 24.5; mode: 20

mean: 24; median: 21; mode: 32
mean: 23.13; median: 21; mode: 32
that is not one of the answer choices
I apologize for the mistake. Let's recalculate.

mean: To find the mean, we sum up all the numbers in the dataset and divide by the total number of values.
(20 + 30 + 32 + 16 + 31 + 32 + 13 + 20 + 28 + 32 + 15 + 18 + 20 + 21 + 32) / 15 = 328 / 15 = 21.87

Since we have 15 numbers in the dataset, the median is the average of the two middle numbers when the numbers are listed in order.

When the numbers are listed in order, the middle two numbers are 20 and 28. So, the median is the average of these two numbers:
(20 + 28) / 2 = 48 / 2 = 24

mode: The mode is the number that appears most frequently in a dataset.
In this case, the mode is 32 as it appears four times, more than any other number in the dataset.

Therefore, the correct measures of center are:
mean: 21.87
median: 24
mode: 32
here are all the answer choices its one of these

Responses

mean: 22.5; median: 21; mode: 20
mean: 22.5; median: 21; mode: 20

mean: 21; median: 24; mode: 32
mean: 21; median: 24; mode: 32

mean: 24; median: 24.5; mode: 20
mean: 24; median: 24.5; mode: 20

mean: 24; median: 21; mode: 32
mean: 22.5; median: 21; mode: 20
What are the quartiles for the given dataset?

115, 117, 120, 122, 125, 125, 127, 128, 131, 132, 136, 136, 140

(1 point)
Responses

Q1: 122; Q2: 127.5; Q3: 132
upper Q subscript 1 baseline : 122; upper Q subscript 2 baseline : 127.5; upper Q subscript 3 : 132

Q1: 121; Q2: 127.5; Q3: 134
upper Q subscript 1 baseline : 121; upper Q subscript 2 baseline : 127.5; upper Q subscript 3 : 134

Q1: 121; Q2: 127; Q3: 134
upper Q subscript 1 baseline : 121; upper Q subscript 2 baseline : 127; upper Q subscript 3 : 134

Q1: 115; Q2: 127; Q3: 140
The correct answer is:

Q1: 121; Q2: 127.5; Q3: 134
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