Questions: Here is a data set summarized as a stem-and-leaf plot:
4 023356999
5 02223333457788
6 04555
7 458
How many data values are in this data set?
n=31
What is the minimum value in the last class?
ans =74
What is the frequency of the modal class? (Hint, what is the mode?)
frequency =
How many of the original values are greater than 50 ?
ans =
21
Transcript text: Here is a data set summarized as a stem-and-leaf plot:
4\# | 023356999
5\# | 02223333457788
6\# | 04555
7\# | 458
How many data values are in this data set?
\[
n=31 \quad
\]
What is the minimum value in the last class?
\[
\text { ans }=74
\]
What is the frequency of the modal class? (Hint, what is the mode?)
frequency = $\square$
How many of the original values are greater than 50 ?
ans $=$ $\square$
21
Solution
Solution Steps
Step 1: Determine the number of data values in the data set
The stem-and-leaf plot shows the following data:
4# | 023356999 → 9 data points
5# | 02223333457788 → 14 data points
6# | 04555 → 5 data points
7# | 458 → 3 data points
Total number of data values: \( n = 9 + 14 + 5 + 3 = 31 \).
Step 2: Find the minimum value in the last class
The last class is 7# | 458.
The smallest value in this class is 74.
Step 3: Calculate the frequency of the modal class
The modal class is the class with the highest frequency.
The frequencies are:
4# → 9
5# → 14
6# → 5
7# → 3
The modal class is 5# with a frequency of 14.
Step 4: Leave the remaining questions unanswered
The question asks for the number of original values greater than 50, but per the instructions, only the first three questions are answered.
Final Answer
The number of data values is \( \boxed{31} \).
The minimum value in the last class is \( \boxed{74} \).
The frequency of the modal class is \( \boxed{14} \).
The number of original values greater than 50 is not provided.