Math Problem Statement
sample size is 30 - fill in probabilities
Solution
The image shows a histogram with frequencies for different intervals of "Technology Self-Efficacy Scores." Given that the total sample size is 30, we can calculate the probability for each interval by dividing the frequency in each interval by the total sample size.
Let's summarize the data from the histogram:
Frequency for Each Interval:
- 20-39: 5
- 40-59: 4
- 60-79: 3
- 80-99: 2
- 100-119: 3
- 120-139: 6
- 140-159: 7
Probability Calculation:
To find the probability for each interval, we divide each frequency by the total sample size (30). I'll compute these probabilities now.Here are the probabilities for each interval based on the sample size of 30:
- 20-39: 0.167
- 40-59: 0.133
- 60-79: 0.100
- 80-99: 0.067
- 100-119: 0.100
- 120-139: 0.200
- 140-159: 0.233
These probabilities represent the proportion of the total sample within each interval.
Would you like further details or have any questions?
Here are 5 related questions to expand on this:
- How would you calculate the cumulative probability for certain intervals?
- How does the shape of this histogram affect the interpretation of the data?
- What are some potential conclusions about "Technology Self-Efficacy" based on this distribution?
- How would changing the sample size affect the probabilities?
- Can we determine the mean and median scores based on this histogram?
Tip: To better understand distributions, compare histograms with different shapes like uniform, skewed, or normal distributions.
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Math Problem Analysis
Mathematical Concepts
Probability
Statistics
Histograms
Formulas
Probability = Frequency / Total Sample Size
Theorems
Law of Total Probability
Suitable Grade Level
Grades 9-12
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