MCA High School / MCA EOC Statistics and Probability. Practice it free.

Uses probability and statistics to make inferences and justify decisions. This High School / MCA EOC reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

High School / MCA EOC8 mapped skills
What the test measures

Statistics and Probability skills

  1. Summarize, represent, and interpret data on a single count or measurement variable

  2. Summarize, represent, and interpret data on two categorical and quantitative variables

  3. Make inferences and justify conclusions from sample surveys, experiments, and observational studies

  4. Understand and evaluate random processes underlying statistical experiments

  5. Use probability to evaluate outcomes of decisions

Standards basis

Minnesota Academic Standards in Mathematics (2007; assessed by MCA-III in grades 3-8 and 11 through 2026-27. 2022 standards phase in with MCA-IV beginning 2027-28) — Minnesota

How the MCA reports it

Minnesota’s MCA math is a state assessment tied to Minnesota Academic Standards in Mathematics rather than a separate national framework. The official public resources available here point to Minnesota-specific standards implementation, and absent a test blueprint, the coverage map should be organized by the state’s grade-level math domains that closely parallel CCSS-M. Note: the current MCA-III assesses the 2007 Minnesota standards in grades 3-8 and 11; Minnesota administers a single comprehensive high-school (grade 11) math test, NOT Algebra I / Geometry / Algebra II end-of-course exams — the 'High School / MCA EOC' band below is the grade-11 HS administration. (MCA-IV on the 2022 standards begins 2027-28.)

Blueprint & weighting

MCA uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

Four small data sets are listed below. Which set has the least standard deviation?

Set A:
7,9,11,137, 9, 11, 13
Set B:
8,10,10,128, 10, 10, 12
Set C:
5,10,10,155, 10, 10, 15
Set D:
6,9,11,146, 9, 11, 14

Set B has mean 1010 with two values at the mean and the others only two units away, giving the smallest standard deviation, about 1.41.4. Sets A, C, and D spread farther from their means.

Practice playeasy

The distances, in miles, run on seven days are 6,6\textsf{,} 8,8\textsf{,} 12,12\textsf{,} 9,9\textsf{,} 14,14\textsf{,} 7,7\textsf{,} and 14.14\textsf{.} Which data set has the same mean?

The original mean is 6+8+12+9+14+7+147=10\dfrac{6 + 8 + 12 + 9 + 14 + 7 + 14}{7} = 10. The set 4,4\textsf{,} 6,6\textsf{,} 8,8\textsf{,} 10,10\textsf{,} 12,12\textsf{,} 14,14\textsf{,} 1616 also has mean 1010, so the means match.

Practice playeasy

Five afternoon temperatures, in degrees Fahrenheit, are 64,64\textsf{,} 78,78\textsf{,} 72,72\textsf{,} 60,60\textsf{,} and 66.66\textsf{.} Which data set has the same median?

In order, the original values have middle value 6666, so the median is 6666. The set 61,61\textsf{,} 65,65\textsf{,} 66,66\textsf{,} 77,77\textsf{,} 8181 also has median 6666, so the medians match.

Practice playeasy

On four science quizzes, Priya earned scores of 8585, 9292, 7878, and 8888. On a fifth quiz, her score was xx. The mean score on all five quizzes is 8787. What is the value of xx?

Five quizzes with a mean of 8787 total 5×87=4355 \times 87 = 435. Since 85+92+78+88=34385 + 92 + 78 + 88 = 343, x=435343=92x = 435 - 343 = 92.

Practice playeasy

A box plot summarizes the data 2, 4, 5, 7, 9, 11, 13. Find the minimum.

The minimum of the data is 22.

Practice playeasy

For a normal distribution, approximately what percent of data lies within 2 standard deviations of the mean? (Use the empirical rule; enter the number of percent.)

By the empirical rule, about 95%95\% lies within 2 SD of the mean.

Practice playeasy

A stone is thrown upward from the edge of a cliff overlooking a valley. The equation s=5t2+11t+16s = -5t^2 + 11t + 16 models the stone's height ss, in meters, above the valley floor tt seconds after it is thrown. According to the equation, what is the height, in meters, of the cliff edge above the valley floor?

When the stone is thrown from the cliff edge, t=0t = 0. Then s=5(0)2+11(0)+16=16s = -5(0)^2 + 11(0) + 16 = 16 meters above the valley floor.

Practice playeasy

A coach records the goals her team scored in seven games: 1,3,2,3,0,3,21, 3, 2, 3, 0, 3, 2. What is the mode of the data?

The value 33 appears three times, more often than any other value, so the mode is 33.

Keep practicing

Turn statistics and probability into game time.

The MCA placement starts with this test's real coverage map and finds the right difficulty.