Math Problem Statement
Here is a data set summarized as a stem-and-leaf plot: 5# | 035556688 6# | 0001233344667899 7# | 01578 8# | 569
How many data values are in this data set?
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 60? ans =
Solution
Let's analyze the new stem-and-leaf plot:
Stem-and-Leaf Plot:
5 | 035556688
6 | 0001233344667899
7 | 01578
8 | 569
Questions and Solutions:
-
How many data values are in this data set?
- To find the total number of data values, count all the leaves.
- Count:
- 5th stem: 9 values
- 6th stem: 15 values
- 7th stem: 5 values
- 8th stem: 3 values
- Total number of data values:
Answer: 32
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What is the minimum value in the last class?
- The "last class" refers to the last stem, which is "8".
- The minimum value is the smallest leaf in this row, which is "5".
- Thus, the minimum value in the last class is 85.
Answer: 85
-
What is the frequency of the modal class?
- The modal class is the stem with the most leaves.
- Stem "6" has the most leaves (15 leaves).
- Frequency of the modal class: 15
Answer: 15
-
How many of the original values are greater than 60?
- Count the values in the rows where the stem is 6 or greater.
- Stem "6": 15 values
- Stem "7": 5 values
- Stem "8": 3 values
- Total values greater than 60:
Answer: 23
Would you like more details or have any further questions?
Additional Questions:
- What is the range of the data set?
- What is the median of the data set?
- What is the maximum value in the data set?
- How many data values are less than 55?
- What is the sum of all the values in the dataset?
Tip: The stem-and-leaf plot not only helps in identifying individual data points but also in quickly understanding the distribution and concentration of the data.
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Math Problem Analysis
Mathematical Concepts
Statistics
Data Analysis
Frequency Distribution
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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