Question

here is a data set summarized as a stem-and-leaf plot:
6# | 12224569
7# | 0001223567888889
8# | 04468
9# | 046

how many data values are in this data set?
n =

what is the minimum value in the last class?
ans =

what is the frequency of the modal class? (hint, what is the mode?)
frequency =

how many of the original values are greater than 80?
ans =

Explanation:

Sub - question 1: How many data values are in this data set?

Step 1: Count data in 6# class

The leaves for 6# are 1,2,2,2,4,5,6,9. So the number of data values here is $8$.

Step 2: Count data in 7# class

The leaves for 7# are 0,0,0,1,2,2,3,5,6,7,8,8,8,8,8,9. The number of data values here is $16$.

Step 3: Count data in 8# class

The leaves for 8# are 0,4,4,6,8. The number of data values here is $5$.

Step 4: Count data in 9# class

The leaves for 9# are 0,4,6. The number of data values here is $3$.

Step 5: Sum the counts

To find the total number of data values, we sum the counts from each class: $8 + 16+5 + 3=32$.

Step 1: Identify the last class

The last class is 9#. The stem is 9, and the leaves are 0,4,6.

Step 2: Determine the minimum value

The data values in the 9# class are formed by combining the stem (9) with each leaf. So the values are 90, 94, 96. The minimum among these is 90.

Step 1: Identify the modal class

The modal class is the class with the highest frequency. We already calculated the frequencies: 6# has 8, 7# has 16, 8# has 5, 9# has 3. So the modal class is 7#.

Step 2: Find the frequency of the modal class

The frequency of the 7# class (modal class) is 16.

Answer:

$32$

Sub - question 2: What is the minimum value in the last class?