Using the Descriptive Statistics Calculator from Calculator Soup my data set are:
Data Set:
1, 3, 5, 9, 7, 10, 15, 20, 29, 35, 37, 42, 47, 52, 56, 67, 79, 82, 90, 100.
The minimum number is 1 and the maximum number is 100. The range is 99. The mean is 39.3, the
median is 36, and the mode is 1, 3, 5, 9, 7, 10, 15, 20, 29, 35, 37, 42, 47, 52, 56, 67, 79, 82, 90, 100
Descriptive Statistics:
Minimum: 1
The smallest value in a sample data set.
Maximum: 100 The largest value in a sample data set.
Range: 99
The range from the minimum to the maximum; range = max – min
Count: 20
The total number (n) of data values in a data set.
Sum: 786
The total of all data values. (x1 + x3 + x5 +x9 + x7 + x10… +x100 =)
Mean: 39.3
The sum of all of the data divided by the count; the average; mean = sum / n.
Median: 36
The numeric value separating the higher half of the ordered sample data from the
lower half. If n is odd the median is the center value. If n is even the median is the average of the 2
center values.
Mode: 1, 3, 5, 9, 7, 10, 15, 20, 29, 35, 37, 42, 47, 52, 56, 67, 79, 82, 90, 100 The value or values that
occur most frequently in the data set.
Standard Deviation: 31.46 The square root of the variance; 2?variance or variance = s2
Variance: 989.6 The sum of the squared differences between data values and the mean, divided by the
count
Mid-Range: 50.5
Quartiles: Quartiles:
Q1 –> 9.5
Q2 –> 36
Q3 –> 61.5
Interquartile Range (IQR): 52
Sum of Squares: 18800
Mean Absolute Deviation: 26.13
Root Mean Square (RMS): 49.85
Std Error of Mean: 7.034 The standard deviation divided by the square root of the count
Skewness: 0.4549 The sum of the cubed differences between data values and the mean, divided by the
count minus 1 times the cubed standard deviation
Kurtosis: 1.888 The sum of the fourth power of differences between data values and the mean, divided
by the count minus 1 times the fourth power of the standard deviation
Coefficient of Variation: 0.8005
Relative Standard Deviation: 80.05% Based on this output, which single value best describes this set of data and why?
The best value of data is the mean 39.3. Because the numbers are in no specific order, one
must calculate the mean of the numbers, in order to figure out the average of the numbers in the set
(Tanner, 2016). If you could pick three of these values instead of only one, which three would you
choose and why?
The three values would be Mode. Because the mode is the measure of central tendency that
makes sense in this nominal data set (Tanner, 2016). Range (99) because it is the difference between
your largest and smallest value, which is helpful to know when working with a set of 20 different
data points (Tanner, 2016). Mean (39.3) because it is important to know an average of the set of data
points (Tanner, 2016). References:
Tanner, D. (2016).Statistics for the Behavioral & Social Sciences (2nd ed.). San Diego, CA
Bridgepoint Education, Inc.
