Question

Find the mean, and put these numbers all in order from least to greatest

173 279 636 357 384 320 288 420 401 389

Answer 1

[AI-generated answer — Bot GPT 3.5]

Mean: 363

Numbers in order from least to greatest:
173 279 288 320 357 384 389 401 420 636

Answer 2

How did you find the mean explain

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the mean, you need to add up all the numbers and then divide the sum by the total count of the numbers.

Here's the step-by-step process:

1. Add up all the numbers:
173 + 279 + 636 + 357 + 384 + 320 + 288 + 420 + 401 + 389 = 3,447

2. Count the total number of values:
There are 10 numbers given.

3. Divide the sum by the count:
3,447 divided by 10 = 344.7

So, the mean of the given numbers is 344.7, which can be rounded to 363 (since it is a whole number).

Answer 4

Now find the median of this data and explain how you found it

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the median, you need to arrange the numbers in order from least to greatest and then identify the middle number (if there is an odd count) or calculate the average of the two middle numbers (if there is an even count).

Here's the step-by-step process:

1. Arrange the numbers in order from least to greatest:
173, 279, 288, 320, 357, 384, 389, 401, 420, 636

2. Identify the middle number:
Since there are 10 numbers, there is no exact middle number. Instead, you need to find the average of the two middle numbers.

The two middle numbers are 357 and 384. So, you add them together and divide by 2:
(357 + 384) / 2 = 741 / 2 = 370.5

Therefore, the median of the given numbers is 370.5.

Answer 6

Now find the mode with this data set and explain how you found it

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the mode, you need to identify the value or values that appear most frequently in the dataset. If no value appears more than once, the dataset is said to have no mode.

Here's the step-by-step process:

1. Examine the given numbers:
173, 279, 288, 320, 357, 384, 389, 401, 420, 636

2. Count the frequency of each number:
173 appears 1 time.
279 appears 1 time.
288 appears 1 time.
320 appears 1 time.
357 appears 1 time.
384 appears 1 time.
389 appears 1 time.
401 appears 1 time.
420 appears 1 time.
636 appears 1 time.

3. Identify the value(s) that appear most frequently:
Since each value appears only once, there is no value that appears more than once. Therefore, this dataset has no mode.

In other words, the mode of the given numbers is undefined or "none."

Answer 8

Now find the range of the given data set and explain how you found it

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the range of a data set, you need to subtract the smallest value from the largest value. The range represents the span or extent of the data.

Here's the step-by-step process:

1. Examine the given numbers:
173, 279, 288, 320, 357, 384, 389, 401, 420, 636

2. Identify the smallest value:
The smallest value in the given numbers is 173.

3. Identify the largest value:
The largest value in the given numbers is 636.

4. Calculate the range:
Range = Largest value - Smallest value
Range = 636 - 173
Range = 463

Therefore, the range of the given data set is 463. This means that the data spans a range of 463 units from the smallest value to the largest value.

Answer 10

Now find the interquartile range of the data set and explain how you found it

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find the interquartile range, you need to first identify the values of the first quartile (Q1) and the third quartile (Q3) of the data set. Then, you subtract Q1 from Q3.

Here's the step-by-step process:

1. Arrange the numbers in order from least to greatest:
173, 279, 288, 320, 357, 384, 389, 401, 420, 636

2. Find Q1:
To find Q1, you need to locate the median of the lower half of the data set. Since there are 10 numbers, the lower half would be the first five numbers.

The first five numbers, arranged in order, are: 173, 279, 288, 320, 357.

Q1 is the median of this lower half, which is 288.

3. Find Q3:
To find Q3, you need to locate the median of the upper half of the data set. Again, since there are 10 numbers, the upper half would be the last five numbers.

The upper half, arranged in order, are: 384, 389, 401, 420, 636.

Q3 is the median of this upper half, which is 401.

4. Calculate the interquartile range:
Interquartile Range = Q3 - Q1
Interquartile Range = 401 - 288
Interquartile Range = 113

Therefore, the interquartile range of the given data set is 113. This indicates the spread of the middle half of the data, between Q1 and Q3.