These are the two I need help with: 4. Find the sample standard deviation, sample variance, and range for your survey responses.
5. Find the z-score for the largest (maximum) value in your data set. Is that value an outlier?

This is the data and answers so far

0 0 2 2 2 2 2 2 3 3 3 3 4 4 5 6 7 7 7 8 21
3. Mean- 4.428571429
Median- 3
Mode- 2
Range- 21

4. Standard Deviation- 4.4336376551476
Sample Variance- 19.657142857143
Range-

5. Z score

Z-score = 3.73

Yes, the maximum value (21) in this data set is a high outlier.

Step-by-step explanation:

I'll solve for what you haven't done yet, z-score and whether or not the maximum is an outlier.

Z-score tells us how many standard deviations a value is above or below the mean. The formula for z-score is .

Substituting , we get .

To determine if a value is an outlier, we use IQR, or Interquartile Range. If a value is lower than or higher than , then we say it is an outlier.

With the value of 21, clearly we are only worried about it being a high outlier. Q1 is the median of the first half of the data and Q3 is the median of the second half. In this case, Q1 is 2 and Q3 is 6.5. IQR is equal to Q3-Q1, or 4.5 in this case.

Therefore, the higher limit for outliers is . Any values above 13.25 are considered high outliers. Therefore, the maximum value of 21 is a high outlier.

5

step-by-step explanation: