Obtain, generate, or select your own random set of 120 numbers between 1 and 100

Question

Obtain, generate, or select your own random set of 120 numbers between 1 and 100. You may use a calculator, excel, or a table of random numbers to achieve this. Use your sample to answer the following questions: 1. What is the mean of your sample? (3 points) 2. What is the mode of your sample? (3 points) 3. Compute the median of your sample. (3 points) 4. Identify the mode or modes of your sample if any. (3 points) 5. Calculate the standard deviation of your sample. (3 points) 6. Summarize your sample into a frequency distribution with 6 classes. (5 points) 7. Construct a cumulative distribution for your sample (Setup a table only) (5 points My numbers are: 29 62 84 83 37 97 37 7 40 21 48 45 90 58 1 11 5 20 58 73 32 84 14 71 15 95 40 32 3 53 76 60 2 16 28 3 31 93 86 78 43 68 94 57 85 10 42 56 21 52 98 75 35 83 92 34 75 23 11 99 48 13 7 67 39 83 81 51 58 78 84 54 32 32 71 52 72 84 62 92 93 50 91 90 3 90 99 95 8 78 45 93 4 40 75 57 61 85 2 82 1 21 32 71 44 54 89 8 32 89 7 18 94 25 26 32 24 73 85 46

Explanation / Answer

Descriptive Statistics:

Minimum: 1 Maximum: 99 Range: 98 Count: 120 Sum: 6243 Mean: 52.03 Median: 52.5 Mode: 32 Standard Deviation: 30.47 Variance: 928.3 Mid Range: 50 Quartiles: Quartiles:
Q1 --> 27
Q2 --> 52.5
Q3 --> 82.5 Interquartile Range (IQR): 55.5 Sum of Squares: 110500 Mean Absolute Deviation: 26.53 Root Mean Square (RMS): 60.23 Std Error of Mean: 2.781 Skewness: -0.1125 Kurtosis: 1.699 Coefficient of Variation: 0.5856 Relative Standard Deviation: 58.56% Frequency:
Frequency Table Value Frequency Frequency % 1 2 1.67 2 2 1.67 3 3 2.50 4 1 0.83 5 1 0.83 7 3 2.50 8 2 1.67 10 1 0.83 11 2 1.67 13 1 0.83 14 1 0.83 15 1 0.83 16 1 0.83 18 1 0.83 20 1 0.83 21 3 2.50 23 1 0.83 24 1 0.83 25 1 0.83 26 1 0.83 28 1 0.83 29 1 0.83 31 1 0.83 32 7 5.83 34 1 0.83 35 1 0.83 37 2 1.67 39 1 0.83 40 3 2.50 42 1 0.83 43 1 0.83 44 1 0.83 45 2 1.67 46 1 0.83 48 2 1.67 50 1 0.83 51 1 0.83 52 2 1.67 53 1 0.83 54 2 1.67 56 1 0.83 57 2 1.67 58 3 2.50 60 1 0.83 61 1 0.83 62 2 1.67 67 1 0.83 68 1 0.83 71 3 2.50 72 1 0.83 73 2 1.67 75 3 2.50 76 1 0.83 78 3 2.50 81 1 0.83 82 1 0.83 83 3 2.50 84 4 3.33 85 3 2.50 86 1 0.83 89 2 1.67 90 3 2.50 91 1 0.83 92 2 1.67 93 3 2.50 94 2 1.67 95 2 1.67 97 1 0.83 98 1 0.83 99 2 1.67

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