Question

question 22
here is a data set:
52 78 62 61 62
54 59 67 70 54
56 66 65 81 66
66 60 85 51 56
63 84 56 74 67
65 65 73 77 67
you are examining the data with a stem - and - leaf plot. here is the start of the plot. finish the plot.
5# | 12446669
6# | 01223555666777
7# | 03478
8# |
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question 23
here is a data set summarized as a stem - and - leaf plot:
5# | 11123889
6# | 001111233344678
7# | 03358
8# | 799
how many data values are in this data set?
n =

Explanation:

Question 22

Step1: Identify data with stem 8

First, find all data points in the dataset where the tens digit is 8 (i.e., numbers in the 80s). From the dataset: 81, 85, 84.

Step2: Extract the leaf (units digit)

For 81, the leaf is 1; for 85, the leaf is 5; for 84, the leaf is 4. Now, order these leaves: 1, 4, 5.

Step1: Count leaves for each stem

• For stem 5#: The leaves are 1,1,1,2,3,8,8,9. Count them: \( 8 \) values.
• For stem 6#: The leaves are 0,0,1,1,1,1,2,3,3,3,4,4,6,7,8. Count them: \( 15 \) values.
• For stem 7#: The leaves are 0,3,3,5,8. Count them: \( 5 \) values.
• For stem 8#: The leaves are 7,9,9. Count them: \( 3 \) values.

Step2: Sum the counts

Add the number of values from each stem: \( 8 + 15 + 5 + 3 \).
First, \( 8 + 15 = 23 \), then \( 23 + 5 = 28 \), then \( 28 + 3 = 31 \).

Answer:

145

Question 23