Math Problem Statement
Data was collected for 300 fish from the North Atlantic. The length of the fish (in cm) is summarized in the histogram below.
20 40 60 80 100 140 142 144 146 148 150 152 154 length of fish (mm) Frequency [Graphs generated by this script: setBorder(61,40,20,5); initPicture(138.2,154,0,108);axes(1000,20,1,1000,20); fill="blue"; stroke="black";line([140,-2.16],[140,2.16]); text([140,0],"140","below");line([142,-2.16],[142,2.16]); text([142,0],"142","below");line([144,-2.16],[144,2.16]); text([144,0],"144","below");line([146,-2.16],[146,2.16]); text([146,0],"146","below");line([148,-2.16],[148,2.16]); text([148,0],"148","below");line([150,-2.16],[150,2.16]); text([150,0],"150","below");line([152,-2.16],[152,2.16]); text([152,0],"152","below");line([154,-2.16],[154,2.16]); text([154,0],"154","below");textabs([165,0],"length of fish (mm)","above");textabs([0,115],"Frequency","right",90);rect([140,0],[142,1]);rect([142,0],[144,16]);rect([144,0],[146,71]);rect([146,0],[148,108]);rect([148,0],[150,83]);rect([150,0],[152,18]);rect([152,0],[154,3]);]
What is the upper class limit for the seventh class?
Solution
To determine the upper class limit for the seventh class in the histogram, let's follow these steps:
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Identify the classes: Each class in the histogram represents a range of fish lengths. From the histogram, we see that the classes are organized as follows:
- 1st class: 140-142 mm
- 2nd class: 142-144 mm
- 3rd class: 144-146 mm
- 4th class: 146-148 mm
- 5th class: 148-150 mm
- 6th class: 150-152 mm
- 7th class: 152-154 mm
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Upper class limit of the seventh class: The seventh class ranges from 152 mm to 154 mm.
- The upper class limit of this range is the maximum value within this class, which is 154 mm.
So, the upper class limit for the seventh class is 154 mm.
Would you like further details or explanations? Here are some related questions you might find interesting:
- How do you determine the lower class limit in a histogram?
- What is the frequency of the most common class in the histogram?
- How do you calculate the class width in a histogram?
- How can you determine the mode of the dataset using the histogram?
- What is the significance of the upper class limit in statistical analysis?
Tip: When interpreting histograms, always check the class intervals and corresponding frequencies to accurately understand the data distribution.
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Math Problem Analysis
Mathematical Concepts
Histogram
Class intervals
Frequency distribution
Formulas
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Theorems
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Suitable Grade Level
High School