1.5.4 practice

Statistics Assignment Distributions of Data Page 1 of 3 Notes: • = For all answers, be sure to use to use the correct symbols for the sample mean, population mean, sample standard deviation, and population standard deviation. • = Please label your answers (1A, 1B, 1C, etc.). 1. The following are the salaries of employees in a small business: 15,000 15,000 17,500 23,500 23,750 25,000 26,000 27,500 29,000 45,000 (5 Points) A. Before using your calculator, do you think that the mean or the median for these values will be higher? Why do you think so? B. What are the mean and median of the salaries? Was your answer to (A) correct? C. Find the standard deviation and the IQR of the data D. Describe the shape of the distribution terms of its overall shape, clusters gaps, or outliers, and skewness. Be sure to give the locations of the main features (for example, at what values are the gaps, if there are any gaps). E. Speculate on the reasons for why the distribution is shaped as it is. 2. Consider the following histogram: (5 Points) A. Describe the shape of this distribution. Are there any gaps or outliers? B. Is the mean greater than or less than the median in this data set? C. The graph below shows a box plot of the data superimposed over the histogram. Interpret the long whisker on the left in terms of the shape of the distribution, and explain why the median appears to be to the right of the center of the box. Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with the permission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated. I think the mean would be higher because there is an outlier that is greater than the majority meaning it is right skewed The mean of salaries is 2472s and the median is 243ns my answer in la was correct standard deviation is 8261Gaus and the Iar is sias Instoisootbratnige There's Ingrapterim stood Potato Tostangenaten 29 9987 48088 Basket night beans Infatehr 29000 Inti s qhqpepdeatkatawytbegggeotohmmgsg.tt ofthe data is clumped together except the 4sooo dollar salary It gradually increase Eattais tnkfdddeftitancdntte.ie Ehentgszepm to be any outliers as the histogram displays a gradual increase as opposed to sudde Because it is skewed right the mean is less than the median Itala Intan migrants faith Yghggnated fosteryboyanttilage portion and majority ofthe data is on the right side which

Statistics Assignment Page 2 of 3 Distributions of Data 3. The following represents the outcomes of rolling a die 600 times. FACE 1 2 3 4 5 6 Number 107 120 84 110 92 87 (5 Points) A. What are the mean and median number of the number of times a face will appear? B. What are the mean and median face value of the 600 rolls of the die? C. Suppose the die was perfectly fair (that is, there were exactly 100 of each outcome). Now, what would be the mean and median face value of the 600 rolls of the die? D. Draw a histogram of the outcomes for the six faces. Describe the shape of the distribution you get. (Note: It will be faster to draw this histogram by hand.) 4. The data listed here are the weights (in pounds) of 29 packages of beef in a supermarket meat display: .99 1.28 .75 1.01 1.24 1.33 1.08 .83 1.02 1.03 .89 1.43 .97 1.05 1.05 1.12 .98 1.18 1.18 1.23 .87 1.12 1.14 1.17 1.41 1.46 .99 .93 .92 (5 Points) A. Construct a histogram to display the distribution of weights, and describe the shape. (You may want to first make the histogram on your calculator and then sketch what you see. You do not need to label the class boundaries; just show the shape of the distribution.) Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with the permission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated. Tigamangyamber of times a facewill appear is too8487 9atis not120 6 too and the median is 99 s The mean value oface value is3.37andthe media offace value is 3 The mean on fairdie would be sis andthe median would be 3 s The distribution is slightly night skewed as the mean too is slightly greater than median aa s The distribution is relatively skewed right