Chapter 2-2
The table available shows the drive through service times (seconds) for lunches at a fast food restaurant. Use the data to construct a histogram. Begin with a lower class limit of 70 seconds and use a class width of 40 seconds. Does the histogram appear to be skewed? If so, identify the type of skewness. Service Times (seconds) 162 96 120 119 133 225 147 125 120 192 119 111 146 77 81 136 140 106 260 100 185 95 101 109 71 135 87 156 143 235 84 96 148 117 227 201 135 231 159 231 145 155 159 178 146 111 124 165 167 159 69.5-109.0 12 109.5-149.0 18 149.5-189.0 10 189.5-229.0 4 229.5-269.5 4
Part 1: Graph A Part 2: The histogram has a longer right tail so the distribution of the data is skewed to the right.
The table below shows the frequency distribution of the weights (in grams) of pre-1964 quarters. Weights (grams) Frequency 6.000-6.049 1 6.050-6.099 4 6.100-6.149 6 6.150-6.199 12 6.200-6.249 11 6.250-6.299 4 6.300-6.349 4 6.350-6.399 1 Use the frequency distribution to construct a histogram. Does the histogram appear to depict data that have a normal distribution? Why or why not?
Part 1: Histogram B Part 2: The histogram appears to depict a normal distribution. The frequencies generally increase to a maximum and then decrease, and the histogram is roughly symmetric
The histogram to the right represents weights (in pounds) of members of a certain high school debate team. What is the class width? What are the approximate lower and upper class limits of the first class?
Part 1: The class width is 20 Part 2: The approximate lower class limit is 100 The approximate upper class limit is 120
The histogram to the right represents the weights (in pounds) of members of a certain high school debate team. How many team members are included in the histogram?
The histogram represents 17 debate team members
If we collect a large sample of blood platelet counts and if our sample includes a single outlier, how will that outlier appear in a histogram?
The outlier will appear as a bar far from all the other bars with a height that corresponds to a frequency of 1
The population of ages at inauguration of all U.S. Presidents who had professions in the military is 62,46,68,64,57. Why does it not make sense to construct a histogram for this data set?
With a data set that is so small, the true nature of the distribution cannot be seen with a histogram.
Heights of adult males are normally distributed. If a large sample of heights of adult males is randomly selected and the heights are illustrated in a histogram, what is the shape of that histogram?
Bell-Shaped
The table below shows the frequency distribution of the rainfall on 52 consecutive Tuesdays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Class Frequency 0-0.19 25 0.20-0.39 13 0.40-0.59 3 0.60-0.79 3 0.80-0.99 4 1.00-1.19 1 1.20-1.39 3
Part 1: Graph A Part 2: No, it is not symmetric
