CMAS High school Statistics & Probability. Practice it free.

Addresses making inferences and justifying conclusions from data, probability models, and using data to make decisions. This High school reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.

High schoolStatistics & Probability9 mapped skills
What the test measures

Statistics & 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 the rules of probability to compute probabilities of compound events in a uniform probability model

Standards basis

Colorado Academic Standards (mathematics) — Colorado

How the CMAS reports it

CMAS is Colorado’s statewide summative assessment system aligned to the Colorado Academic Standards rather than a national framework like SBAC or NAEP. The official CMAS page and Colorado standards materials indicate the math assessment is built from Colorado Academic Standards, but the retrieved official CMAS page did not expose a separate math blueprint document.

Blueprint & weighting

No official CMAS math domain weighting/percent-of-items blueprint was available in the retrieved primary CMAS materials.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Four data sets show the number of laps run in five trials. Which set has the least standard deviation?

Set A:
2,4,6,8,102, 4, 6, 8, 10
Set B:
5,5,6,6,85, 5, 6, 6, 8
Set C:
1,5,6,7,111, 5, 6, 7, 11
Set D:
3,5,6,7,93, 5, 6, 7, 9

Set B has mean 66 with repeated values near the center (5,5,6,6,85, 5, 6, 6, 8), giving the smallest standard deviation, about 1.11.1. The other sets include values farther from their means.

Practice playeasy

Five afternoon temperatures, in degrees Fahrenheit, are 68,68\textsf{,} 72,72\textsf{,} 65,65\textsf{,} 74,74\textsf{,} and 71.71\textsf{.} Which data set has the same mean?

The original mean is 68+72+65+74+715=70\dfrac{68 + 72 + 65 + 74 + 71}{5} = 70. The set 66,66\textsf{,} 68,68\textsf{,} 70,70\textsf{,} 72,72\textsf{,} 7474 also has mean 7070, so the means match.

Practice playeasy

The distances, in miles, run on seven days are 14,14\textsf{,} 6,6\textsf{,} 20,20\textsf{,} 9,9\textsf{,} 11,11\textsf{,} 18,18\textsf{,} and 6.6\textsf{.} Which data set has the same median?

In order, the original values have middle value 1111, so the median is 1111. The set 4,4\textsf{,} 5,5\textsf{,} 8,8\textsf{,} 11,11\textsf{,} 22,22\textsf{,} 25,25\textsf{,} 2828 also has median 1111, so the medians match.

Practice playeasy

In three bowling games, Alex rolled scores of 142142, 156156, and 138138. In a fourth game, the score was xx. The mean score over the four games is 150150. What is the value of xx?

Four games with a mean of 150150 total 4×150=6004 \times 150 = 600. Since 142+156+138=436142 + 156 + 138 = 436, x=600436=164x = 600 - 436 = 164.

Practice playeasy

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

The maximum of the data is 1313.

Practice playeasy

For a normal distribution, approximately what percent of data lies within 3 standard deviations of the mean? (Use the empirical rule; enter the number of percent.)

By the empirical rule, about 99.7%99.7\% lies within 3 SD of the mean.

Practice playmedium

The mass of a chemical sample is modeled by m(x)=480(0.92)xm(x)=480(0.92)^x, where xx is the number of days after an initial measurement. According to the model, by what percent does the mass of the sample decrease each day?

The factor 0.920.92 means that each day the mass is 92%92\% of the previous day's mass, so the daily decrease is 100%92%=8%100\% - 92\% = 8\%.

Practice playeasy

What is the mode of 2,2,6,8,92, 2, 6, 8, 9?

The mode is the most frequent value; 22 appears twice while every other value appears once.

Keep practicing

Turn statistics & probability into game time.

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