Math Problem Statement
Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below.
2 4 6 8 10 12 140 142 144 146 148 150 152 154 amount of sugar (mg) Frequency [Graphs generated by this script: setBorder(54,40,20,5); initPicture(138.2,154,0,13);axes(1000,2,1,1000,2); fill="blue"; stroke="black";line([140,-0.26],[140,0.26]); text([140,0],"140","below");line([142,-0.26],[142,0.26]); text([142,0],"142","below");line([144,-0.26],[144,0.26]); text([144,0],"144","below");line([146,-0.26],[146,0.26]); text([146,0],"146","below");line([148,-0.26],[148,0.26]); text([148,0],"148","below");line([150,-0.26],[150,0.26]); text([150,0],"150","below");line([152,-0.26],[152,0.26]); text([152,0],"152","below");line([154,-0.26],[154,0.26]); text([154,0],"154","below");textabs([165,0],"amount of sugar (mg)","above");textabs([0,115],"Frequency","right",90);rect([140,0],[142,1]);rect([142,0],[144,3]);rect([144,0],[146,9]);rect([146,0],[148,13]);rect([148,0],[150,8]);rect([150,0],[152,3]);rect([152,0],[154,2]);]
What is the sample size for this data set?
Solution
To determine the sample size for the data set, we need to sum up the frequencies of the histogram bars. Here are the frequencies for each interval based on the histogram data provided:
- 140 to 142 mg: 1 snack
- 142 to 144 mg: 3 snacks
- 144 to 146 mg: 9 snacks
- 146 to 148 mg: 13 snacks
- 148 to 150 mg: 8 snacks
- 150 to 152 mg: 3 snacks
- 152 to 154 mg: 2 snacks
Now, let's sum these frequencies to find the total sample size:
So, the sample size for this data set is 39.
Would you like to know more details or have any questions?
Here are 5 related questions that expand on this information:
- What is the mode of the data set based on the histogram?
- How would you calculate the mean amount of sugar from the histogram data?
- What is the range of sugar amounts in this data set?
- How would you describe the distribution of sugar amounts in the snacks (e.g., skewed, symmetric)?
- How can the standard deviation of the sugar amounts be estimated from this histogram?
Tip: Always add up all frequencies in a histogram to find the total number of observations (sample size) in the data set.
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Math Problem Analysis
Mathematical Concepts
Statistics
Histograms
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12