A graphing calculator may be used wherever possible. However, you need to substantiate your answers for full credit. [1](14) The following shows the IQ scores of 60 fifth-grade students chosen at random from one school. 145 139 126 1 125 130 96 110 118 118 101 142 134 124 112 109 134 113 3 81 113 123 94 100 136 109 131 117 110 127 : 106 124 115 133 116 102 127 117 109 137 117 90 103 114 139 101 122 105 97 89 102 8 110 128 114 112 114 102 82 101 (a) Construct a frequency distribution, a relative frequency distribution, and a cumulative frequency dis- tribution. Relative Cumulative Relative Class Interval Frequency Frequency (%) Frequency (%) 75 - 84 85 - 94 95 - 104 105 - 114 115 - 124 125 - 134 135 - 144 145 - 154 (b) Construct the stem-and-leaf plot (stemplot) with a stem unit of 10 for the data. Stem Leaf 70 80 90 100 110 120 130 140 150(c) Draw the histogram for a relative frequency distribution. 50 30 20 10 80 90 100 110 120 130 140 150 160 Relative Frequency Histogram (d) Draw the ogive for the data. 60 50 30 20 80 90 100 110 120 130 140 150 160 Ogive@) Describe the shape of the data. f) According to Mensa International, Mensa's requirement for membership is a score at or above the 98th percentile on certain standardized 1Q such as the Stanford-Binet Intelligence Scales. What is the minimum score to get into Mensa from the data? g) Continued from (f), how many students of the fifth graders may be qualified for its membership