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Eleventh Grade (Grade 11) Statistics and Probability Concepts Questions

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Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following is an effective way to visualize outliers?
  1. Histogram
  2. Dot Plot
  3. Box Plot
  4. All of the above.
Grade 11 Represent and Determine Probability CCSS: HSS-CP.A.2
If you flip a coin 4 times, what is the probability you get heads, heads, tails, heads in that order?
  1. 18
  2. 12
  3. 116
  4. 132
  5. none of these are correct
Grade 11 Represent and Determine Probability CCSS: HSS-CP.B.9
At Karen's school, each locker comes with a lock that already has a combination. The locks use four numbers between 1 and 60 which aren't repeated. Karen is hoping that her locker combination has the numbers 4, 10, 22, and 50 which happen to have special significance for her. She doesn't care what order these numbers are in. She determines that there are P(60,4) total possibilities for the locker combination, and P(4,4) possibilities that include her numbers. Therefore, the probability that she gets her numbers is 2.1×10-6. Is she correct, and if not, why?
  1. No. Although justified in using permutations for the total number of possibilities, since order does matter, she should have used combinations to calculate the number of possibilities which include her numbers, since she doesn't care about the order for them. The probability should be C(4,4)P(60,4)=8.5×10-8.
  2. No. Even though the end answer is correct, it is by chance. The total possibilities for locker combinations is C(60,4) and the number of possibilities that include her numbers is C(4,4). This just happens to also equal 2.1×10-6.
  3. No. The correct number of possibilities for the lock combination should be 604. Therefore, the probability would be P(4,4)604=1.9×10-6.
  4. Yes. Karen's method is correct.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.2
Which of the following is true about the two data sets?

A = {5, 6, 6, 7, 9, 9.5, 10}

B = {5, 5.5, 6, 8, 9, 9, 10}
  1. The means and medians are equal.
  2. The means are equal, but the median of set B is greater than that of set A.
  3. The medians are equal, but the mean of set B is greater than that of set A.
  4. The mean and median of set B are greater than those of set A.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following best describes the box plot?
Box Plot 3
  1. Symmetric
  2. Skewed Right
  3. Skewed Left
  4. A box pot cannot described in this manner.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following best describes this histogram?
Histogram 2
  1. Symmetric Unimodal
  2. Right Skewed
  3. Left Skewed
  4. Uniform
Grade 11 Combinations and Permutations
To find the total number of arrangements in a combination you must
  1. multiply the elements together.
  2. determine the number of elements, then multiply.
  3. find the probability of each element, then multiply.
  4. divide the number of favorable outcomes by the number of total outcomes.
Grade 11 Combinations and Permutations
Simplify the expression.
(n+1)!(n-1)!
  1. n
  2. n(n+1)
  3. 1
  4. (n+1)
  5. none of these are correct
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which parameters are needed to define a normal distribution?
  1. The mean and the standard deviation.
  2. The mean alone.
  3. The range and the mean.
  4. The range, standard deviation, and IQR.
Grade 11 Combinations and Permutations
How do you find the total number of arrangements in a permutation?
  1. Multiply the elements together.
  2. Determine the number of elements, then multiply.
  3. Find the probability of each element, then multiply.
  4. Divide the number of favorable outcomes by the number of total outcomes.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following is true about skewed distributions?
  1. Skewed distributions rarely occur with real life data.
  2. The data of a skewed distribution can be transformed to reduce the skewness.
  3. Different degrees of skewness cannot be measured.
  4. If a distribution of real world data shows skewness, then the data is useless.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
A bimodal distribution can be symmetric.
  1. True
  2. False
Grade 11 Line Graphs CCSS: HSN-Q.A.1
A graph showing the re-entry and landing of a space craft to Earth would best be in which units?
  1. Kilometers and Minutes
  2. Miles and Hours
  3. Meters and Seconds
  4. Miles and Days
Grade 11 Collecting and Interpreting Data
The whole group from which a sample is taken.
  1. Sample size
  2. Population
  3. Bias
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following gives the best reason for why z-scores are used?
  1. It is impossible to interpret data without using z-scores.
  2. Z-scores allow non-normally distributed data to become normally distributed.
  3. Z-scores eliminate outliers, allowing for more accurate results.
  4. They simplify the analysis of normally distributed data.
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