Math Problem Statement
Here is the data set summarized as a stem and leaf plot? 5# | 012466778 6# | 01133467779999 7# | 05688 8# | 017 how many data values are in this data? n= what is the minimum value in the last class? ans= what is the frequency of the model class? (hint, what is the mode?) frequency = how many of the original value are greater than 60? ans=
Solution
Let's break down the problem using the stem-and-leaf plot provided:
Stem-and-Leaf Plot:
- 5# | 012466778
- 6# | 01133467779999
- 7# | 05688
- 8# | 017
Interpretation:
- The stem represents the tens place of the numbers.
- The leaves represent the ones place.
Questions and Answers:
-
How many data values are in this data?
- To find the total number of data values, count all the leaves across all stems.
- 5# has 8 values.
- 6# has 11 values.
- 7# has 5 values.
- 8# has 3 values.
- Total:
- n = 27
-
What is the minimum value in the last class (8#)?
- The last class is "8#" and its values are 0, 1, and 7.
- The minimum value here is 80 (since 0 is in the ones place).
- Minimum value = 80
-
What is the frequency of the modal class (mode)?
- The mode is the most frequently occurring value.
- Looking at the data, "9" appears most frequently in the stem 6# (it appears 5 times: 69, 69, 69, 69, 69).
- So the frequency of the modal class (6#) is 5.
-
How many of the original values are greater than 60?
- Values greater than 60 come from stems 6#, 7#, and 8#.
- From the stem 6#, the values greater than 60 are: 61, 61, 63, 64, 66, 67, 67, 69, 69, 69, 69 (11 values).
- From the stem 7#, all values: 70, 75, 76, 78, 78 (5 values).
- From the stem 8#, all values: 80, 81, 87 (3 values).
- Total:
- Answer = 19
Summary:
- n = 27
- Minimum value in the last class = 80
- Frequency of the modal class = 5
- Number of values greater than 60 = 19
Would you like any more details or have any other questions? Here are five additional questions that expand on this information:
- What is the maximum value in the dataset?
- What is the range of the dataset?
- What is the median value of the dataset?
- How would the mean be calculated for this dataset?
- What is the frequency of the stem 7#?
Tip: When analyzing a stem-and-leaf plot, it's useful to calculate both the mode and the median to understand the distribution of data.
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Stem-and-Leaf Plot
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12