C883 Statistics and Probability for Secondary Mathematics Teaching
Access The Exact Questions for C883 Statistics and Probability for Secondary Mathematics Teaching
💯 100% Pass Rate guaranteed
🗓️ Unlock for 1 Month
Rated 4.8/5 from over 1000+ reviews
- Unlimited Exact Practice Test Questions
- Trusted By 200 Million Students and Professors
What’s Included:
- Unlock 100 + Actual Exam Questions and Answers for C883 Statistics and Probability for Secondary Mathematics Teaching on monthly basis
- Well-structured questions covering all topics, accompanied by organized images.
- Learn from mistakes with detailed answer explanations.
- Easy To understand explanations for all students.
Access and unlock Multiple Practice Question for C883 Statistics and Probability for Secondary Mathematics Teaching to help you Pass at ease.
Free C883 Statistics and Probability for Secondary Mathematics Teaching Questions
A uniform distribution over (0, 10) has mean:
- 5
- 0
- 10
- 2.5
Explanation
For a continuous uniform distribution over the interval (a, b), the mean is calculated as (a + b)/2. Substituting a = 0 and b = 10, the mean = (0 + 10)/2 = 5. Teaching this formula helps students calculate expected values for evenly distributed data.
Correct Answer:
5
A teacher plots height vs shoe size. r² = 0.64 means:
- 64% of variability in height explained by shoe size
- 64% causation
- 36% error
- Correlation is 0.8
Explanation
The coefficient of determination (r²) represents the proportion of variance in the dependent variable that is explained by the independent variable. An r² of 0.64 means that 64% of the variability in height can be explained by shoe size. This helps students understand how well one variable predicts another, without implying causation.
Correct Answer:
64% of variability in height explained by shoe size
A test statistic z = 2.1, p-value = 0.0357. At α = 0.01:
- Reject H₀
- Fail to reject H₀
- Accept H₀
- Recalculate
Explanation
The decision rule for hypothesis testing is to reject the null hypothesis if the p-value is less than the significance level α. Here, p-value = 0.0357, which is greater than α = 0.01. Therefore, there is not enough evidence to reject H₀, and the correct decision is to fail to reject it. This teaches students how to interpret p-values relative to significance levels.
Correct Answer:
Fail to reject H₀
A teacher records the number of students late to class each day for 30 days. This follows a:
- Binomial distribution
- Normal distribution
- Poisson distribution
- Uniform distribution
Explanation
The number of students late per day is a count of events occurring within a fixed interval (a day). When events are rare or occur independently, the Poisson distribution models the probability of a given number of occurrences. Teaching this helps students understand appropriate probability models for count data versus proportions or continuous measurements.
Correct Answer:
Poisson distribution
Range is $50 for salaries. Adding outlier $1,000,000 changes range to:
- Still $50
- ~$1,000,000
- Unchanged IQR
- Both b and c
Explanation
The range is calculated as the difference between the maximum and minimum values. Adding an extreme outlier like $1,000,000 drastically increases the maximum, so the range jumps from $50 to nearly $1,000,000. The interquartile range (IQR), however, measures the spread of the middle 50% of the data and is not affected by extreme values. Therefore, the range changes drastically while the IQR remains the same.
Correct Answer:
Both b and c
In a standard normal distribution, P(Z < -1.96) ≈
- 0.025
- 0.050
- 0.950
- 0.975
Explanation
In a standard normal distribution, Z = -1.96 corresponds to the lower 2.5% of the distribution. This is based on the empirical rule and standard normal tables. Teaching this concept helps students understand tail probabilities and the basis for two-tailed hypothesis tests at α = 0.05.
Correct Answer:
0.025
In a randomized experiment on teaching methods, the control group receives:
- New method
- Traditional method
- No instruction
- Double dose
Explanation
In an experiment, the control group serves as a baseline and receives the standard or traditional treatment for comparison. This allows the effect of the new teaching method to be isolated and evaluated. Teaching students about control groups emphasizes the importance of comparison in experimental design.
Correct Answer:
Traditional method
P(event) = 0 means the event is:
- Certain
- Impossible
- 50–50
- Likely
Explanation
A probability of 0 indicates that an event cannot occur under any circumstance; it is impossible. This contrasts with a probability of 1, which indicates certainty. Understanding this helps students distinguish between impossible, unlikely, and certain events in probability lessons.
Correct Answer:
Impossible
The null hypothesis for testing if a new teaching method improves scores is usually:
- μ_new > μ_old
- μ_new = μ_old
- μ_new ≠ μ_old
- μ_new < μ_old
Explanation
The null hypothesis (H₀) typically states that there is no effect or difference—in this case, that the new teaching method does not change the mean score compared to the old method. Therefore, H₀: μ_new = μ_old. This sets up a framework for testing whether observed differences are statistically significant.
Correct Answer:
μ_new = μ_old
Pie chart limitation for teaching:
- Hard to compare slices accurately
- Shows trends over time
- Handles negative values
- Best for continuous data
Explanation
Pie charts represent data as proportional slices of a circle. While they effectively show relative contributions of categories, it is difficult to compare slices accurately, especially when the differences are small. Pie charts do not display trends over time, cannot handle negative values, and are best suited for categorical rather than continuous data, which limits their instructional usefulness in some contexts.
Correct Answer:
Hard to compare slices accurately
How to Order
Select Your Exam
Click on your desired exam to open its dedicated page with resources like practice questions, flashcards, and study guides.Choose what to focus on, Your selected exam is saved for quick access Once you log in.
Subscribe
Hit the Subscribe button on the platform. With your subscription, you will enjoy unlimited access to all practice questions and resources for a full 1-month period. After the month has elapsed, you can choose to resubscribe to continue benefiting from our comprehensive exam preparation tools and resources.
Pay and unlock the practice Questions
Once your payment is processed, you’ll immediately unlock access to all practice questions tailored to your selected exam for 1 month .