HW 3.2 1. A survey of attendance at the Columbus Zoo reveals the following number of attendees in a sample of weekdays in April: 420 454 405 475 340 840 526 488 405 602 Determine the mean, median, mode, and 10% trimmed mean. A college student records all her weekly debit card receipts for the last week: $7, $68, $19, $71, $152, $44, $138, $16, $48, $102, $67, $2 Determine the mean, median, mode and 5% trimmed mean. 3. If outliers exist, which descriptive statistic is the best measure of center? Explain. 4. Use the frequency table to determine mean age of a sample of CSCC students, and the midpoint of the modal class. Ages frequency 17 - 23 8 24 - 30 12 31 - 37 4 38 - 44 0 45 - 51 5. If a distribution is skewed left, how would you expect the mean and median to compare? 6. Use the graph to determine the mean, median, and modal class. Interpret the mean in context. UT 4- w Frequency N 50 55 60 65 70 75 80 weights of 3rd graders 7. How would you expect the mean and median to compare for the weights of 30 graders graphed above? Explain.HW 3.3 1. Name 3 descriptive statistics that measure center? 2. Provide a sketch of each of the following shapes: Normal, Uniform, Skewed Right, Skewed Le 3. Do range and standard deviationmeasure shape, center, or spread? 4. A survey of attendance at the Columbus Zoo reveals the following number of attendees in a sample of weekdays in April: 420 454 405 475 340 840 526 488 405 602 Determine the range and standard deviation. 5. In order to determine a budget for the year, a college student records all her weekly debit card receipts for the last week: $7, $68, $19, $71, $152, $44, $138, $16, $48, $102, $67, $2 a. Determine the range and standard deviation. b. Do these descriptive statistics measure shape, center, or spread? 6. Use the frequency table to calculate the standard deviation and interpret in context. Ages 17 - 23 _ 24 - 30 31-37 _ 3844 _ 45-51 7. Use the graph to determine the standard deviation and interpret in context. 60 65 70 weights of 3rd graders weekdays in April: 420 454 405 475 Determme the percentile rank for a day wi ard receipts for the last week: $7, $68, $19, $71, $152; $44, $138, $16, $48, $102, $67, $2 ' - Graph a boxplot and determine any outliers. _ Is the mean or median the best measure of center for this data? Explam. 3. Suppose the Chiller Ice Rink in Dublin records the following \"Noon Skate\" ticket sales over the past 8 days: $160, $220, $568, $480, $320, $368, $336, $256 a. What is the percentile rank for a \"noon skate\" with ticket sales of $220? b. Suppose an employee was excited that they took in ticket sales that ranked in the 10th percentile. Explain what \"10m percentile\" really means in terms of these ticket sales. 4. Suppose January Temperatures in Ohio are skewed left with an average of 28.7 degrees and a standard deviation of 4.6 degrees. 3. Use Chebyshev's Theorem to determine the interval that contains at least 88.9% of the January Temperatures. b. Determine the minimum percent of January Temperatures that are between 19.5 and 37.9 degrees. 5. A sample of OSU tailgaters reveals an average arrival time prior to night game to be 5 pm with a standard deviation of 30 minutes. a. If the distribution is normal, determine the time interval in which 95% of the tailgaters arrived. b. If the distribution is normal, what percent of the data would you expect to arrive between 4:30 and 5:30 pm? 6. Draw a standard normal curve. Label each of the following in their approximate location along the horizontal axis: Mean, P40, z= -3, and Q3 7. Suppose the weights of 45 trick-ortreat bags turn out to be normally distributed with a mean of 12 pounds and a standard deviation of 2 pounds. a. Suppose a bag of candy had a zscore of z= 0. What does this tell you about the weight of the bag? b. Would you expect the zscore for a bag that weighs 9 pounds to be a positive or negative value? Explain. c Suppose a bag of candy had a z-score of z= 3. Does this bag weigh more or less than avera e? . d Calcuite the z-score for a trick-or-treat bag that weighs 10 lbs