Statistics 5 tabs, Needed in 2 hours
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HW2questionspre1.xlsxWeek 2 HW Questions
MGMT 650 Summer 2020 Week 2 Homework Questions
Q1 - Descriptive Stat
| Here is sample data showing the weight of coffee beans in bags labeled 5 pounds. The data is in pounds. | |||||||||
| 5.75 | 4.82 | 5.25 | 5.96 | 4.59 | 4.52 | 5.06 | 5.67 | 5.73 | 4.71 |
| 5.5 | 5.84 | 4.82 | 5.98 | 4.89 | 5.39 | 4.73 | 4.96 | 5.59 | 4.86 |
| 4.94 | 4.9 | 4.71 | 4.99 | 5.61 | 5.26 | 5.3 | 4.92 | 4.54 | 4.58 |
| 4.59 | 4.72 | 4.6 | 4.67 | 5 | 4.97 | 5.47 | 4.88 | 5.02 | 5.27 |
| 5.85 | 4.67 | 4.91 | 5.63 | 5.1 | 5.7 | 4.91 | 5.62 | 4.99 | 5.95 |
| 4.76 | 5.95 | 4.91 | 5.81 | 4.54 | 5.91 | 4.91 | 4.63 | 4.81 | 5.73 |
| 4.93 | 5.81 | 4.7 | 5.82 | 5.84 | 5.9 | 5.75 | 4.61 | 5.77 | 5.83 |
| 4.58 | 4.63 | 4.66 | 5.57 | 4.76 | 5.5 | 5.84 | 5.1 | 5.63 | 5.72 |
| For the following questions, you must use Excel formulas in the cells so that Excel calculates the answers for you. | |||||||||
| 1) | Compute the mean: | ||||||||
| Compute the median | |||||||||
| Find the mode | |||||||||
| 2) | Compute the first quartile; use =QUARTILE.EXC() | ||||||||
| First Quartile | |||||||||
| Compute the third quartile; use =QUARTILE.EXC() | |||||||||
| Third Quartile | |||||||||
| Compute the interquartile range | |||||||||
| 3) | Find the largest number | ||||||||
| Find the smallest number | |||||||||
| What is the range? | |||||||||
| 4) | What is the difference between the Excel functions, STDEV.P and STDEV.S? (Hint: Use the Excel help files.) | ||||||||
| 5) | What is the Variance? | ||||||||
| 6) | What is the standard deviation? | ||||||||
| 7) | What is the Coefficient of Variation, or the CV? | ||||||||
| https://www.statisticshowto.datasciencecentral.com/probability-and-statistics/how-to-find-a-coefficient-of-variation/ | |||||||||
| When is the Coefficient of Variation especially useful? | |||||||||
| Copy all of the data into a column, use Column M and go from cell M1:M80 | |||||||||
| 8) | Use the Data Analysis tool on the numbers just copied to find the Descriptive Statistics: | ||||||||
| Click on Data Analysis and Choose Descriptive Statistics | |||||||||
| Click on the Summary Statistics box. | |||||||||
| Highlight the mean, median, mode, Standard deviation, Range, Minimum, and Maximum | |||||||||
| Notice that the Data Analysis tool gives you all of the info needed for this problem except for the quartiles, variance, and CV. | |||||||||
| For questions 9 and 10, you are a consultant who is brought in and given these numbers and asked to generate a | |||||||||
| report to management. What would your recommendation be? | |||||||||
| These two parts are your chance to show your understanding of the material. | |||||||||
| 9) | Interpret the measures of central tendency within the context of this problem. | ||||||||
| Should the company producing the coffee be concerned about the central tendency? | |||||||||
| 10) | Interpret the measures of variation within the context of this problems. | ||||||||
| Should the company producing the coffee be concerned about variation? | |||||||||
&D
https://www.statisticshowto.datasciencecentral.com/probability-and-statistics/how-to-find-a-coefficient-of-variation/Pivot Table Data
| Movie Rank | Domestic Gross (in millions) | Rating | Type |
| 1 | $ 999.00 | PG-13 | Fantasy |
| 2 | $ 988.00 | PG | Documentary |
| 3 | $ 984.00 | PG-13 | Thriller |
| 4 | $ 984.00 | Unrated | SuperHero |
| 5 | $ 981.00 | R | Fantasy |
| 6 | $ 979.00 | PG | Fantasy |
| 7 | $ 972.00 | PG | Fantasy |
| 8 | $ 970.00 | PG | Family |
| 9 | $ 970.00 | PG | Romance |
| 10 | $ 957.00 | PG-13 | Musical |
| 11 | $ 956.00 | R | Horror |
| 12 | $ 953.00 | PG-13 | SuperHero |
| 13 | $ 952.00 | PG | Documentary |
| 14 | $ 951.00 | Unrated | Sci-Fi |
| 15 | $ 948.00 | PG-13 | Horror |
| 16 | $ 939.00 | G | Documentary |
| 17 | $ 934.00 | G | Family |
| 18 | $ 932.00 | Unrated | Action |
| 19 | $ 932.00 | PG | Comedy |
| 20 | $ 930.00 | R | Horror |
| 21 | $ 907.00 | R | Western |
| 22 | $ 905.00 | PG-13 | Romance |
| 23 | $ 904.00 | R | Sci-Fi |
| 24 | $ 903.00 | Unrated | Family |
| 25 | $ 898.00 | PG-13 | Horror |
| 26 | $ 896.00 | PG-13 | Sci-Fi |
| 27 | $ 882.00 | Unrated | Cartoon |
| 28 | $ 878.00 | Unrated | Horror |
| 29 | $ 875.00 | Unrated | Action |
| 30 | $ 874.00 | PG | Unknown |
| 31 | $ 873.00 | Unrated | Horror |
| 32 | $ 860.00 | R | Thriller |
| 33 | $ 856.00 | Unrated | Thriller |
| 34 | $ 851.00 | R | Drama |
| 35 | $ 848.00 | R | Horror |
| 36 | $ 839.00 | PG | Thriller |
| 37 | $ 835.00 | Unrated | Drama |
| 38 | $ 830.00 | PG-13 | Comedy |
| 39 | $ 829.00 | R | Horror |
| 40 | $ 824.00 | R | Horror |
| 41 | $ 821.00 | R | Comedy |
| 42 | $ 819.00 | R | Unknown |
| 43 | $ 815.00 | R | Comedy |
| 44 | $ 809.00 | PG-13 | Documentary |
| 45 | $ 802.00 | PG | Thriller |
| 46 | $ 798.00 | PG | Cartoon |
| 47 | $ 792.00 | G | Family |
| 48 | $ 787.00 | Unrated | Family |
| 49 | $ 785.00 | PG | Musical |
| 50 | $ 775.00 | PG-13 | Fantasy |
| 51 | $ 770.00 | R | Comedy |
| 52 | $ 758.00 | PG | Drama |
| 53 | $ 755.00 | PG-13 | Family |
| 54 | $ 750.00 | PG-13 | Western |
| 55 | $ 744.00 | PG-13 | Thriller |
| 56 | $ 740.00 | R | Action |
| 57 | $ 736.00 | PG-13 | Thriller |
| 58 | $ 736.00 | R | Thriller |
| 59 | $ 731.00 | G | Cartoon |
| 60 | $ 721.00 | PG | Sci-Fi |
| 61 | $ 721.00 | R | Musical |
| 62 | $ 717.00 | R | Sci-Fi |
| 63 | $ 700.00 | G | Sci-Fi |
| 64 | $ 692.00 | Unrated | SuperHero |
| 65 | $ 684.00 | PG | Fantasy |
| 66 | $ 682.00 | PG-13 | Fantasy |
| 67 | $ 671.00 | PG | Action |
| 68 | $ 667.00 | G | Romance |
| 69 | $ 658.00 | Unrated | Horror |
| 70 | $ 645.00 | R | Horror |
| 71 | $ 642.00 | G | Musical |
| 72 | $ 642.00 | G | Family |
| 73 | $ 637.00 | PG-13 | Thriller |
| 74 | $ 637.00 | PG-13 | Comedy |
| 75 | $ 634.00 | PG-13 | Horror |
| 76 | $ 632.00 | Unrated | Horror |
| 77 | $ 629.00 | Unrated | SuperHero |
| 78 | $ 623.00 | R | Documentary |
| 79 | $ 623.00 | Unrated | Romance |
| 80 | $ 620.00 | PG-13 | SuperHero |
| 81 | $ 615.00 | Unrated | Sci-Fi |
| 82 | $ 612.00 | Unrated | Documentary |
| 83 | $ 610.00 | PG | Cartoon |
| 84 | $ 610.00 | Unrated | Musical |
| 85 | $ 605.00 | PG-13 | Action |
| 86 | $ 600.00 | G | Family |
| 87 | $ 594.00 | PG-13 | SuperHero |
| 88 | $ 590.00 | G | Family |
| 89 | $ 589.00 | G | Family |
| 90 | $ 586.00 | R | Musical |
| 91 | $ 582.00 | R | Unknown |
| 92 | $ 581.00 | R | Drama |
| 93 | $ 571.00 | PG-13 | Comedy |
| 94 | $ 570.00 | G | Sci-Fi |
| 95 | $ 564.00 | PG | Documentary |
| 96 | $ 562.00 | PG | Unknown |
| 97 | $ 556.00 | PG-13 | Thriller |
| 98 | $ 545.00 | PG-13 | Thriller |
| 99 | $ 545.00 | R | Thriller |
| 100 | $ 531.00 | G | Family |
| 101 | $ 527.00 | R | Horror |
| 102 | $ 520.00 | G | Fantasy |
| 103 | $ 503.00 | G | Documentary |
| 104 | $ 494.00 | G | Sci-Fi |
| 105 | $ 494.00 | PG-13 | Thriller |
| 106 | $ 485.00 | PG-13 | Thriller |
| 107 | $ 478.00 | R | Drama |
| 108 | $ 474.00 | R | Documentary |
| 109 | $ 474.00 | PG-13 | Horror |
| 110 | $ 470.00 | R | Romance |
| 111 | $ 453.00 | R | Horror |
| 112 | $ 449.00 | PG | Horror |
| 113 | $ 446.00 | PG | Unknown |
| 114 | $ 445.00 | PG | Family |
| 115 | $ 434.00 | PG | Sci-Fi |
| 116 | $ 429.00 | PG | Family |
| 117 | $ 423.00 | R | Drama |
| 118 | $ 401.00 | G | Sci-Fi |
| 119 | $ 398.00 | R | SuperHero |
| 120 | $ 393.00 | G | Family |
| 121 | $ 391.00 | G | Musical |
| 122 | $ 388.00 | R | Action |
| 123 | $ 387.00 | PG | Romance |
| 124 | $ 386.00 | PG-13 | Unknown |
| 125 | $ 381.00 | G | Romance |
| 126 | $ 380.00 | PG | Musical |
| 127 | $ 378.00 | PG-13 | Family |
| 128 | $ 378.00 | R | Action |
| 129 | $ 376.00 | R | Sci-Fi |
| 130 | $ 375.00 | PG | Family |
| 131 | $ 364.00 | PG-13 | Drama |
| 132 | $ 352.00 | PG-13 | Horror |
| 133 | $ 335.00 | PG-13 | SuperHero |
| 134 | $ 335.00 | PG-13 | Action |
| 135 | $ 332.00 | R | Documentary |
| 136 | $ 326.00 | G | Family |
| 137 | $ 321.00 | PG-13 | SuperHero |
| 138 | $ 317.00 | PG-13 | SuperHero |
| 139 | $ 313.00 | G | Romance |
| 140 | $ 306.00 | Unrated | Fantasy |
| 141 | $ 300.00 | PG | Cartoon |
| 142 | $ 298.00 | PG-13 | Thriller |
| 143 | $ 296.00 | R | Thriller |
| 144 | $ 293.00 | G | Comedy |
| 145 | $ 284.00 | PG | Comedy |
| 146 | $ 278.00 | G | Sci-Fi |
| 147 | $ 269.00 | R | SuperHero |
| 148 | $ 253.00 | R | Documentary |
| 149 | $ 253.00 | R | Cartoon |
| 150 | $ 250.00 | PG-13 | Action |
| 151 | $ 245.00 | R | Horror |
| 152 | $ 241.00 | R | SuperHero |
| 153 | $ 233.00 | R | Comedy |
| 154 | $ 230.00 | R | Comedy |
| 155 | $ 228.00 | PG-13 | Horror |
| 156 | $ 224.00 | PG | Family |
| 157 | $ 219.00 | PG-13 | Western |
| 158 | $ 218.00 | R | Fantasy |
| 159 | $ 216.00 | PG-13 | Fantasy |
| 160 | $ 202.00 | G | Romance |
| 161 | $ 202.00 | R | Action |
| 162 | $ 197.00 | PG-13 | Documentary |
| 163 | $ 194.00 | PG | Drama |
| 164 | $ 193.00 | PG | Action |
| 165 | $ 187.00 | PG | Action |
| 166 | $ 183.00 | PG-13 | Cartoon |
| 167 | $ 182.00 | G | Family |
| 168 | $ 181.00 | G | Comedy |
| 169 | $ 171.00 | PG-13 | Comedy |
| 170 | $ 169.00 | PG-13 | Documentary |
| 171 | $ 167.00 | PG-13 | Romance |
| 172 | $ 166.00 | PG-13 | Cartoon |
| 173 | $ 164.00 | PG | Romance |
| 174 | $ 157.00 | R | Cartoon |
| 175 | $ 130.00 | PG-13 | Documentary |
| 176 | $ 129.00 | PG | Comedy |
| 177 | $ 129.00 | G | Family |
| 178 | $ 125.00 | PG-13 | Thriller |
| 179 | $ 106.00 | PG-13 | Romance |
| 180 | $ 82.00 | PG | Family |
| 181 | $ 81.00 | G | Action |
| 182 | $ 79.00 | R | Horror |
| 183 | $ 79.00 | R | Romance |
| 184 | $ 78.00 | R | Cartoon |
| 185 | $ 73.00 | G | Documentary |
| 186 | $ 70.00 | PG-13 | Sci-Fi |
| 187 | $ 69.00 | PG-13 | SuperHero |
| 188 | $ 69.00 | G | Cartoon |
| 189 | $ 63.00 | PG-13 | Drama |
| 190 | $ 60.00 | R | Horror |
| 191 | $ 57.00 | PG | Documentary |
| 192 | $ 54.00 | PG-13 | SuperHero |
| 193 | $ 36.00 | PG | Thriller |
| 194 | $ 30.00 | R | Romance |
| 195 | $ 26.00 | R | Fantasy |
| 196 | $ 15.00 | G | Documentary |
| 197 | $ 14.00 | R | Action |
| 198 | $ 4.00 | R | Fantasy |
| 199 | $ 4.00 | PG | Documentary |
| 200 | $ 1.00 | R | SuperHero |
Q2 - Pivot Table
| 11) | Using the data on the Pivot Table Data Sheet, create a Pivot table showing: |
| 1) The Movie Type, Count of Type, and Sum of Domestic Gross (in millions); using columns B and D from the Pivot Table Data Sheet | |
| Show three columns: Movie Type, Count of Type, and Sum of Domestic Gross (in millions) | |
| Format the Sum of Domestic Gross (in millions) Field using $ | |
| 12) | Which type of movie had the highest Domestic Gross Total for 2018? |
| 13) | Which type of movie had the highest number of films made of that type in 2018? |
| (You might try making more/different pivot tables to learn about the raw data. What do you want to know about | |
| Domestic Movies in 2018?) | |
Q3 - Frequency
| Use the raw Data on the Pivot Table Data Sheet to create a Frequency Chart: | |||
| Follow these steps to get the Frequency chart. The following website also has instructions to create bins. | |||
| https://www.statisticshowto.datasciencecentral.com/choose-bin-sizes-statistics/ | |||
| 14) | Step One: (Find the lowest and highest numbers in the data.) Use the Excel sheet titled Pivot Table Data | ||
| What is the Total DomesticGross of the lowest movie sales? Hint - use either =MIN()or just choose the movie at the bottom of the list | |||
| What is the Total DomesticGross of the highest movie sales? Hint - use either =MAX()or just choose the movie at the top of the list | |||
| 15) | Step Two: (Find the range by subtracting the lowest number from the highest number.) | ||
| Subtract the lowest from the highest to find the range of the Domestic Gross take for the Movies | |||
| The range of Total Domestic Gross for these movies is | |||
| 16) | Step Three: (Find the bin widths by dividing the range by the number of bins that you want to have.) | ||
| We will use 10 bins so divide the range by 10: | |||
| Each bin will be : | wide. Do not round. | ||
| Step Four: (Find the highest number for the first bin by starting with the lowest number in the data set and adding the bin width.) | |||
| Start with the minimum number: | |||
| Add the width of the bins | |||
| This number is the highest number that is used in the first bin. | |||
| Excel will use this number when it counts the number of pieces of data in the raw data set that is lower than this number. | |||
| Put this number in cell C38 for the first bin. | |||
| Step Five: (Find the rest of the highest bin numbers. Start with the highest number in the first bin. Add the bin width. This number is the highest total for bin 2.) | |||
| The next bin's's highest number starts with the first bin highest number and adds the size of the bins | |||
| Therefore, the second bin begins with | and adds the bin size | to get | Place this number in cell C39. |
| Successive bins start with the previous bin's highest number and adds the width of thebins. The last bin will have the maximum number in the data set as its highest value. | |||
| Therefore, continue adding to get the Bins array for the =FREQUENCY() function. | |||
| The last bin number in cell C47 will equal the highest Domestic Gross movie total | |||
| 17) | Here are the highest numbers for each bin: | ||
| Bins: | |||
| 18) | Follow the instructions in the youtube videos to use the =FREQUENCY() array function. | https://www.youtube.com/watch?v=c4b1F4-tv8Q | |
| You know that you have correctly used the =FREQUENCY() function if Excel automatically puts {} around the function. | |||
| Don't forget to push Control-Shift-Enter at the same time to enter the =FREQUENCY function. | |||
| Bins: | Frequency: | ||
Q4 - Charts
| Copy the Bins and Frequency Data from the Q4 - Frequency sheet | |
| Bins: | Frequency: |
| 19) | Histogram |
| Create a Histogram of the Bins and Frequency data by first creating a column Chart and then removing the spaces between the columns. | |
| 20) | Format the historgram so there are no spaces between the bars. Histograms do not have spaces and the graph does not become a Histogram until the spaces are removed. |
| Add a title to the Histogram | |
| Add horizontal and Vertical Axes titles | |
| 21) | Explain the difference between a histogram and a bar graph: |
| 22) | |
| Make a pie chart of the raw frequency data with a title and Legend: | |
Q5-Two Way
| 23 | As part of the marketing group of a film company, you are asked to find out the age distribution of the audience of the latest film. | ||||
| You ask questions of customers who exit the theatre. From 470 responses, you find that 45 are younger than 6 years old, 83 are 6 to 9 years, | |||||
| 154 are 10 to 14, 18 are 15 to 21, and 170 are older than 21. | |||||
| a) Make a frequency table of these categorical data. | |||||
| b) Make a relative frequency table. | |||||
| c) Make a bar chart using counts in the frequency table. | |||||
| d) Would a bar chart of relative frequencies look any different? | |||||
| e) Make a pie chart. | |||||
| f) Write a few sentences summarizing the distribution demonstrated by your charts and tables. | |||||
| In addition to age grouping information, the audiences interviewed were also asked if they had seen the movie before (Never, Once, More than Once). | |||||
| under 6 | 6 to 9 | 10 to 14 | 15 to 21 | over 21 | |
| never | 39 | 60 | 84 | 16 | 151 |
| once | 3 | 20 | 38 | 2 | 15 |
| more than once | 3 | 3 | 32 | 0 | 4 |
| 24 | a) Find the marginal distributions of their previous viewing of the movie. | ||||
| b) Verify that the marginal distribution of the ages is the same as that given previously. | |||||
| c) Find column percentages. | |||||
| d) Looking at these percentages, does the distribution of how many times someone has seen the movie look the same for each age group? | |||||
| e) Make a stacked bar chart showing the distribution of viewings for each age level | |||||
