MCAS Grade 10 Statistics and Probability. Practice it free.

Measures data analysis, variability, and inference-like reasoning with data. This Grade 10 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grade 108 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. Interpret linear models

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

Standards basis

Massachusetts Curriculum Frameworks / Massachusetts learning standards (CCSS-aligned math standards as adopted by Massachusetts) — Massachusetts

How the MCAS reports it

MCAS is Massachusetts’ statewide assessment program, and its math design is built on Massachusetts Curriculum Frameworks rather than a separate multi-state framework. The official MCAS pages state that MCAS assessments are based on the state’s learning standards and that the math tests are organized by Massachusetts grade-band domains/reporting categories.

Blueprint & weighting

The official MCAS math blueprint/test-design materials were not successfully retrievable in this session, so published domain weightings could not be verified from a primary PDF/page.

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