please show your work The following back-to-back stem-and-leaf plot gives the pe
ID: 3075322 • Letter: P
Question
please show your work
The following back-to-back stem-and-leaf plot gives the percentage of residents "65 and over (right) and those "aged 18 to 24" (left) for each of the fifty states aged 18 to 24 s 65 and over 17 0 16 15 34 14 03478 3 13 00001 1233345569 0 12 00001133344789 8887766543 3222211000 10 6 4778 8 6 99999998 877765522229 578 For what proportion of states is the percentage of residents 65 and.over less (b) What is the median percentnge of residents aged 18 to 24? (e) For the distribution of percentages of residents 65 and over what is the third quartile?Explanation / Answer
a) Proportion of states is the percentage of residents 65 and over less than 10 % is zero
b)
Ordering the data from least to greatest, we get:
84 87 87 88 92 92 92 92 95 95 96 97 97 97 98 98 99 99 99 99 99 99 99 100 100 100 101 101 102 102 102 102 103 103 104 105 106 106 107 107 108 108 108 111 111 111 111 112 120 133
As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:
Median = (100 + 100) / 2 = 100
c)
The third quartile is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.
63 86 95 97 98 106 112 113 113 113 114 117 119 120 120 120 120 121 121 123 123 123 124 124 127 128 129 130 130 130 130 131 131 132 133 133 133 134 135 135 136 139 140 143 144 147 148 153 154 170
So, the upper half is
128 129 130 130 130 130 131 131 132 133 133 133 134 135 135 136 139 140 143 144 147 148 153 154 170
The median of these numbers is 134
third quartile = 134
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.