Math Problem Statement

sample size is 30 - fill in probabilities

The query submitted by the user: 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:

  1. How would you calculate the cumulative probability for certain intervals?
  2. How does the shape of this histogram affect the interpretation of the data?
  3. What are some potential conclusions about "Technology Self-Efficacy" based on this distribution?
  4. How would changing the sample size affect the probabilities?
  5. 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