Question

construct a stem - and - leaf display for the given data. select the correct choice below and fill in the answer boxes to complete your choice.(use a comma to separate answers as needed.)
table
full data set
27 14 34 76 32 84 66 39 56 70
14 34 44 29 57 5 35 49 28 35
67 42 35 56 45 28 111 60 86 65
51 24 17 25 40 5 49 15 32 41

Explanation:

Step1: Order the data

First, order the given data set: \(5,14,14,15,17,24,25,27,28,29,32,32,34,34,35,35,39,40,41,42,45,49,49,51,56,57,65,65,66,67,70,76,84,111\)

Step2: Determine stems

The stems will be the tens - digit of the numbers. For numbers less than 10 (i.e., \(5\)), the stem is \(0\). For two - digit numbers \(ab\) (where \(a\) is the tens digit and \(b\) is the units digit), the stem is \(a\). For the three - digit number \(111\), we can consider it as an outlier. But if we follow the general rule for two - digit stems (assuming we are dealing with two - digit numbers mainly), we can ignore the hundreds digit for the purpose of stem - and - leaf (since the other numbers are two - digit or one - digit). The stems are \(0,1,2,3,4,5,6,7,8,9\) (but \(9\) will have no leaf as there is no number in the \(90\)s in our data set except when considering the three - digit number's hundreds digit wrongly. But if we consider the data set as mostly two - digit numbers):

• For stem \(0\): The leaf is \(5\) (from the number \(5\))
• For stem \(1\): The leaves are \(4,4,5,7\) (from the numbers \(14,14,15,17\))
• For stem \(2\): The leaves are \(4,5,7,8,9\) (from the numbers \(24,25,27,28,29\))
• For stem \(3\): The leaves are \(2,2,4,4,5,5,9\) (from the numbers \(32,32,34,34,35,35,39\))
• For stem \(4\): The leaves are \(0,1,2,5,9,9\) (from the numbers \(40,41,42,45,49,49\))
• For stem \(5\): The leaves are \(1,6,7\) (from the numbers \(51,56,57\))
• For stem \(6\): The leaves are \(5,5,6,7\) (from the numbers \(65,65,66,67\))
• For stem \(7\): The leaves are \(0,6\) (from the numbers \(70,76\))
• For stem \(8\): The leaf is \(4\) (from the number \(84\))
• For stem \(9\): There is no leaf (since there is no number like \(9x\) in our data set excluding the incorrect use of the hundreds digit of \(111\))

Answer:

C. \(0\mid5\); \(1\mid4,4,5,7\); \(2\mid4,5,7,8,9\); \(3\mid2,2,4,4,5,5,9\); \(4\mid0,1,2,5,9,9\); \(5\mid1,6,7\); \(6\mid5,5,6,7\); \(7\mid0,6\); \(8\mid4\); \(9\mid\)