Question

Write a statistical question that investigates the number of siblings your friends have.

Option 1: How many siblings do I have?

Option 2: How many siblings do you have?

(1 point)
The statistical question that investigates the number of siblings your friends have is Option
.

Answer 1

[AI-generated answer — Bot GPT 3.5]

2: How many siblings do your friends have?

Answer 2

Statistics Unit Test

15 of 1515 of 15 Items

Question
Of the mean, median, and mode, which measure of center is most affected by outliers? Explain your reasoning including an example with at least 10 data points.(4 points)

Answer 3

[AI-generated answer — Bot GPT 3.5]

The measure of center that is most affected by outliers is the mean. The mean is calculated by adding up all the values in the data set and then dividing by the total number of values. When there are outliers present in a data set, they can significantly impact the overall average because they can greatly skew the total sum of the values.

For example, consider the following data set with 10 data points: 2, 3, 4, 5, 6, 7, 8, 9, 10, 100. The mean of this data set would be calculated as (2+3+4+5+6+7+8+9+10+100) / 10 = 54.4. However, the outlier of 100 significantly raises the total sum and therefore raises the mean, making it no longer representative of the majority of the data points.

In contrast, the median and mode are less affected by outliers. The median is the middle value of a data set when the values are ordered from least to greatest, meaning that it is not influenced by extreme values at the ends of the distribution. The mode is simply the value that occurs most frequently in the data set and is not affected by individual extreme values.

Answer 4

WRITE IT LIKE A 6TH GRADER

Answer 5

[AI-generated answer — Bot GPT 3.5]

The average of a group of numbers is called the mean. But if there are some numbers that are way bigger or smaller than the rest, the mean can get messed up. For example, let's say we have 10 numbers: 2, 3, 4, 5, 6, 7, 8, 9, 10, and 100. If we find the mean, we add them up and divide by 10 to get 54.4. But because of the big outlier 100, the mean gets pulled up a lot higher than the most of the other numbers.

On the other hand, the median is the middle number when all the numbers are in order. It doesn't get thrown off by outliers. The mode, which is just the number that shows up the most, is also not changed by one or two big or small numbers.