Question
PLEASE RESPOND TO QUESTION 1 AND QUESTION 2 I WILL ATTACH IN THE BOTTOM THE SAMPLE RESPOND FOR YOU TO FOLLOW. THANK YOI 1.Report your
PLEASE RESPOND TO QUESTION 1 AND QUESTION 2 I WILL ATTACH IN THE BOTTOM THE SAMPLE RESPOND FOR YOU TO FOLLOW. THANK YOI
1.Report your sample mean, median, mode, sample standard deviation, range, Q1, Q3, and IQR. Do not forget, we are looking at a sample set here, so we need to use the sample standard deviation.
Mean - 34.4705882
Median - 30
Mode - 50, 26, 23, 47
Sample standard deviation - 10.636715
Range - 29
Q1 - 25
Q3 - 46
IQR - 21
- Compare the measures of center (mean, median, mode). How similar or different are they? Does the relationship between the mean and median tell us anything about the symmetry/skew of the dataset?Since the mean and the median are approximately close to one another, this means that the dataset distribution is approximately symmetric. The dataset distribution is also skewed right because the mean is larger than the median.
- Look at the measures of spread (standard deviation, range, IQR). How do these compare to one another? What do they tell us about the spread of our dataset?
SD = 10.636715
Range = 29
IQR = 21
When comparing the standard deviation, range, and IQR to one another I would say that the dataset is more spread out and this is because the standard deviation is high. Also, the distance of the range (29) from the lowest score which is 21 and the highest score which is 50 in the distribution shows how scattered the values are. The IQR of 21 when compared to the mean of 34.4705882 is also an indication that the central portion of the dataset is spread out.
2. Report your sample mean, median, mode, sample standard deviation, range, Q1, Q3, and IQR. Do not forget, we are looking at a sample set here, so we need to use the sample standard deviation.
Mean- 34.4705882, Median- 30, Mode- 50,26,23,47. Sample standard deviation- 10.636715, Range- 29, Q1 >25, Q3 >46, IQR- 21.
- Compare the measures of center (mean, median, mode). How similar or different are they? Does the relationship between the mean and median tell us anything about the symmetry/skew of the dataset?
The mean and median are close. They are within the 30-35 range. The mode starts from 23-50 range which in between it would be around 36. I would say they are pretty similar. The symmetric distributions usually expect the median and mean to be approximately the same value. When the values are not equal, the distribution is asymmetrical or skewed. Distribution skewed to the right, the mean is greater than the median.
- Look at the measures of spread (standard deviation, range, IQR). How do these compare to one another? What do they tell us about the spread of our dataset?
The standard deviation are the values from the mean, while the range is the difference between the minimum and maximum data. IQR is the range from Q1 and Q3. Q1 is the median of the lower half and Q3 is the median of the higher half not including Q2. The spread would be to the right - meaning positive skewed.
SAMPLE RESPOND FOR 1.
1 . With an IQR of 21, Standard deviation of 10.6 and Range of 29 you can tell that Dataset is spread out and skewed right. this took me while to learn but i am getting better at it. Hopefully I am ready by the time midterms come.
* I find it interesting that though the data set seems mostly symmetric, the data distribution is still skewed. you can see this skewed distribution when you put it on a graph. you can also notice that the graph is spread-out. The central portion being spread out is definitely correct.
2. I got the same values when calculating the mean, median, mode, sample standard deviation, range, Q1, Q3, and IQR. I agree that the data set is skewed to the right because the mean is greater than the median, even though it is a small amount of difference. I found it interesting that even though the range of the whole data set was 29, the interquartile range was 21.
* When having many modes, do they need to go from lowest to highest? I got all answers identical to yours, i was confused when i first seen this but lecture made it that much easier to understand this. my data set is spread out and skewed right.
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