This report will focus on the data below, which was collected using a StatCrunch survey about health concerns related to exercising. All responses were gathered from people surveyed by the MAT215, group 2 students at Excelsior College. Our samples are considered voluntary response samples because each potential participant was able to decide on their own if they wanted to be included in the survey. Our method of sampling was convenience sampling because we each used the easiest way to get our results (ex. classmates, coworkers, family, and/or friends).
Questions for the survey were:
1. Do you exercise currently? yes/no
2. How old are you? ___ years
3. How many hours of exercise a week do you think an average person requires to be healthy? ___ hours
4. How concerned are you with your level of activity? High concerned/moderately concerned/no at all concerned
How concerned are you with your level of activity?
The pie chart below shows that there was an equal amount of respondents (39% each) who were either moderately concerned or not at all concerned with their level of activity. The remaining 22% were highly concerned.
How many hours of exercise a week do you think an average person requires to be healthy?
Summary statistics:

The distribution of the histogram depicting the amount of hours of exercise per week an average person should get to be healthy can be described as multimodal which means there is 3 or more modes in the data. The distribution shape can be described as rightskewed because it's tail tapers off to the right.
As we know, the 4 measures of center are the mean, median, mode, and midrange. In this data set the mean is 6.43, the median is 5, there are multiple modes, and the midrange is 12. The mean is the most important measure as it uses every data value, but it may be thrown off if there is just one extreme value. The advantage of using the median is that the value doesn't usually change by having an extreme amount. Midrange is not often used as a measure of center because any extreme values can really throw off this calculation.
The measures of spread are range, standard deviation, and variance. The range and variance of the data spreads anywhere from 0 to 24. The standard deviation is 4.918025 which is the measure of how spread out the data is around the center of distribution (mean).
As stated earlier the mean of the data is 6.43 and the median is 5. Because the two values are different we can assume by simply looking at the numbers that our histogram will be skewed (when the numbers are the same the histogram will result in a normal distribution). The mean being on the right side of the peak (median) allows us to deduct that our histogram will be rightskewed (positiveskewed).
There is a range rule of thumb that allows us to estimate the standard deviation using a calculation when we know the range.
Range/4 = approx. standard deviation
For this data set we will use our range of 24. 24/4 = 6.
In this case we know that our actual standard deviation is 4.918025. I would say that using the range rule of thumb is not an accurate calculation to use. This calculation is best suited for use in a normal distribution data set.
The outliers in the data set are 14, 15, 20, & 24. The values 14, 15, & 20 do not seem suspicious to me as being in error because more than one person answered with this value. The result of 24 hours may be an error because not only is it an extreme value but it also was only answered by one participant.
According to the scatter plot created from our data set I would say that it is non linear and there is no relationship between the age of participant and amount of hours they think necessary on average to be healthy. Outliers can again be identified in this representation as they lie far to the right on the plot.
Correlation between Age and Hours is: 0.04125568 
We know that the correlation is significant in a data set of 100 samples if the absolute value is more than 1.96. Because in this data set the correlation is 0.04125568, we can say that there is no correlation between the age of the partipant and the amount of hours they think an average person needs to be healthy.
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