Sign Up Now
Get instant access to over 1 million+ study documents
OR
Already registered? click here to login
By creating your account, you agree to our terms of service, privacy policy and student honor code.
Calculate the mean, median, and mode for the data.
Mean = Sum of X values / N (Number of values)
Mean = 885 /
Mean = 68.0769
Median = 62 found by arranging the numbers in ascending order and selecting the value in the (n + 1) / 2 position which is the 7th position or
56, 56, 62, 62, 62, 62, 62, 70, 75, 75, 75, 81, 87
Mode = 62 found by selecting the most frequently occurring value
Prepare a frequency distribution for the data.
Rank
Occurrences
Calculate the standard deviation for this data.
Standard Deviation = sqrt (sum (value - mean) 2) / N)
Standard Deviation = 9.78487
Explain why statisticians typically use the standard deviation rather than the average deviation.
The standard deviation is a statistic that tells you how tightly all the various examples are clustered around the mean in a set of data (Niles). When the examples are pretty tightly bunched together and the bell-shaped curve is steep, the standard deviation is small. When the examples are spread apart and the bell curve is relatively flat, that tells you there is a relatively large standard deviation (Niles).
The average deviation is the absolute value of the difference from the mean for each data value, summed, then divided by the number of values. Therefore, the average deviation, like the standard deviation is the measure or spread of all values in a series of observations. However, the mean deviation, unlike the standard deviation, does not square the distance from the mean, so it is less affected by extreme values than the standard deviation. Thus, the standard deviation is a better measure of variability and is more frequently used for this reason. Also, the use of the absolute value in the average deviation makes calculations more complicated than the standard deviation because many statistical techniques rely on minimizing the sum of square residuals rather than the sum of absolute residuals (Mean deviation).
Bibliography
Mean deviation. http://mathworld.wolfram.com/MeanDeviation.html
Niles, R. Standard deviation. http://www.robertniles.com/stats/stdev.shtml
Bottling Company The mean, median and standard deviation are as follows: Bottle No. Oz mean median std dev The 95% confidence interval can be calculated as follows: CI = x +/- t* (s/?n) CI = 14.87 +/- 2.045 * (0.541 / ?30) CI = 14.87 +/- CI = 14.668 to 15.07 The null hypothesis is that the bottles are within the 95% confidence interval of 16oz as required by law. So the number of samples that fall within 15.8 to
Calculate Touring Enterprises' weighted average cost of capital (WACC). Work as follows: first, compute the after-tax cost of debt, then compute the cost of equity. WACC = E/V x Re + D/V x Rd x (1 - Tc) Re = cost of equity Rd = cost of debt E = market value of the firm's equity D = market value of the firm's debt V = E + D = firm value E/V = percentage of financing that
A standard deviation is so "standardized" that, generally speaking, 70% of the data points will fall within one standard deviation, and 90% of the data points will fall within two standard deviations. Standard deviation is one of the most common ways for researchers to describe data as it forms a basis for comparing data from study to study. Measures of central tendency are most effective at describing data that shows
These low scores represent persons whose handling skills for fragile material are weak and are a potential risk to the company. In group B, the handling skills of the group members are very similar. Group B. also had the lower standard deviation 12.43 as compared to 22.71. The standard deviation is a measure of the difference in skill between the group, the larger the standard deviation, then the greater the
Using this data set we can calculate mean, median, mode, and standard deviation for this data set over last 20 years: Mean can be found according to the following formula: So mean February temperature equals to 33.825 F Median of the data is the middle score after data has been set in order, so February temperature median equals to 33.7 F Mode of the data is the value from data set which occurs
GPA is interval level data one can report all measures of central tendency and dispersion (Creswell, 2012). In the original data case 38 had a GPA reported as 9.00. This value is of course impossible and since there were no missing values defined in the data set this case was treated as missing data. If used as reported it would have resulted in a much larger standard deviation and