1 Consider the following sample of n = > measurements: 58, 61, 62, 69, 47. Calculate the variance of this sample. 2. A sample data set has a mean of 47 and a standard deviation of 12. Determine whether the sample measurement of 65 is an outlier. 3. Determine the mean for the following frequency distribution. Height (cm) Frequency 159 - 161.9 15 162 - 164.9 17 165 - 167.9 16 168 - 170.9 15 171 - 173.9 12 4. Determine the lower and upper quartiles for the data listed below. 25 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98 The scores for a statistics test are as follows: 87 76 92 77 92 96 88 85 66 89 79 96 50 98 83 88, 82 0 69 Create a stem-and-leaf display for the data and describe the shape of distribution. 6. A 5-student committee member is going to be selected from 4 females and 5 males. How many options are there for the committee to have 2 females or 3 females as members? 7. In how many ways can a 6-digit number be formed from the numbers 0 to 9? (No repetition). 8. In a genetic experiment, the researcher mated two Drosophila fruit flies and observed the traits of 300 offspring. The results are shown in the table. Wing Size Eye Colour Normal Miniature Norma 140 6 Vermillion 3 151