Inferences and Conclusions from Data Practice Questions
Common Core (US) · Common Core Algebra 2 · 150 free MCQs with instant results and detailed explanations.
150
Total
48
Easy
78
Medium
24
Hard
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Sample Questions from Inferences and Conclusions from Data
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Q1
Easy
A survey shows that 70% of students prefer chocolate over vanilla ice cream. If 200 students were surveyed, how many prefer chocolate?
A.
140
B.
100
C.
70
D.
200
Show Answer & Explanation
Correct Answer: A
To find the number of students who prefer chocolate, multiply the total number of students (200) by the percentage that prefer chocolate (70%). This gives us 200 * 0.7 = 140.
Q2
Easy
In a classroom, the mean score of a math test is 85 with a standard deviation of 5. If a student scores 90, how does their score compare to the mean?
A.
Above average
B.
Below average
C.
Equal to average
D.
Significantly below average
Show Answer & Explanation
Correct Answer: A
A score of 90 is higher than the mean score of 85, indicating it is above average.
Q3
Easy
If a data set has an outlier that is significantly higher than the other values, how is the mean affected?
A.
The mean decreases
B.
The mean remains the same
C.
The mean increases
D.
The mean becomes the median
Show Answer & Explanation
Correct Answer: C
An outlier that is significantly higher than the other values will increase the mean, as the mean takes into account all values in the data set.
Q4
Medium
A researcher collected data on the number of hours studied and exam scores for a group of students. If the correlation coefficient is 0.85, what can be concluded about the relationship between these two variables?
A.
There is a strong positive correlation.
B.
There is no correlation.
C.
There is a strong negative correlation.
D.
There is a weak positive correlation.
Show Answer & Explanation
Correct Answer: A
A correlation coefficient of 0.85 indicates a strong positive relationship, meaning as the number of hours studied increases, exam scores tend to increase as well.
Q5
Medium
A company claims that its light bulbs last an average of 1000 hours with a standard deviation of 100 hours. If a consumer tests a sample of 30 bulbs and finds the average lifespan is 950 hours, what can be inferred at a 95% confidence level?
A.
The company's claim is validated.
B.
The average lifespan is significantly lower.
C.
The average lifespan is significantly higher.
D.
There is not enough information.
Show Answer & Explanation
Correct Answer: B
Using the sample mean and standard deviation, we can calculate the confidence interval. Since 950 falls below the expected mean of 1000, we can infer that the average lifespan is significantly lower than claimed.
Q6
Medium
A data analyst wants to determine if the average salary of employees in a company is different than $50,000. Which statistical test should be used for this hypothesis test?
A.
Chi-Square Test
B.
Z-test
C.
T-test
D.
ANOVA
Show Answer & Explanation
Correct Answer: C
A T-test is appropriate for comparing the sample mean to a known value (in this case, $50,000), especially when the sample size is small or the population standard deviation is unknown.
Q7
Medium
In a certain school, the average score of students in Mathematics is 75 with a standard deviation of 10. If the scores are normally distributed, what percentage of students scored between 65 and 85?
A.
68%
B.
95%
C.
50%
D.
34%
Show Answer & Explanation
Correct Answer: A
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Since the scores range from 65 (75-10) to 85 (75+10), this falls within one standard deviation of the mean.
Q8
Hard
A researcher is conducting an experiment to determine the effect of two different fertilizers on plant growth. Fertilizer A produced an average height of 30 cm with a standard deviation of 5 cm, while Fertilizer B produced an average height of 35 cm with a standard deviation of 4 cm. If a plant grown with Fertilizer A is 40 cm tall, what is the z-score of this height for Fertilizer A?
A.
2.0
B.
1.5
C.
1.0
D.
0.5
Show Answer & Explanation
Correct Answer: A
The z-score is calculated by the formula: z = (X - ฮผ) / ฯ. For Fertilizer A, z = (40 - 30) / 5 = 10 / 5 = 2. Thus, the z-score is 2.0, indicating that the height of 40 cm is 2 standard deviations above the average.
Q9
Hard
In a statistical study, the correlation coefficient between two variables, X and Y, is found to be -0.85. If X increases by 10 units, what can be inferred about the expected change in Y?
A.
Y is expected to increase by 8.5 units.
B.
Y is expected to decrease by 8.5 units.
C.
Y will not change.
D.
Y is expected to increase by 0.85 units.
Show Answer & Explanation
Correct Answer: B
A correlation coefficient of -0.85 indicates a strong negative relationship. Therefore, if X increases by 10 units, Y is expected to decrease by 8.5 units (calculated as 10 * -0.85).
Q10
Hard
A researcher claims that the average height of adult males in a city is greater than 70 inches. A sample of 50 males showed an average height of 68 inches with a standard deviation of 4 inches. Assuming a significance level of 0.05, what conclusion can be drawn from this sample regarding the researcherโs claim?
A.
Reject the null hypothesis; the average height is likely greater than 70 inches.
B.
Fail to reject the null hypothesis; the average height is not significantly greater than 70 inches.
C.
The sample size is too small to draw any conclusions.
D.
There is not enough information to determine the conclusion.
Show Answer & Explanation
Correct Answer: B
The sample mean of 68 inches does not provide sufficient evidence to reject the null hypothesis that the average height is 70 inches since the sample mean is less than the claimed average.
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Inferences and Conclusions from Data โ Common Core (US) Common Core Algebra 2 Practice Questions Online
This page contains 150 practice MCQs for the chapter Inferences and Conclusions from Data in Common Core (US) Common Core Algebra 2. The questions are organized by difficulty โ 48 easy, 78 medium, 24 hard โ so you can choose the right level for your preparation.
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