DC CAPE Algebra I Statistics and Probability. Practice it free.

This domain addresses descriptive statistics and making inferences from data. This Algebra I reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Algebra IStatistics and Probability8 mapped skills
What the test measures

Statistics and Probability skills

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

  2. make inferences and justify conclusions from sample surveys, experiments, and observational studies

  3. understand and evaluate random processes underlying statistical experiments

  4. make inferences and justify conclusions from data

Standards basis

Common Core State Standards (CCSS-M) — District of Columbia

How the DC CAPE reports it

DC CAPE math continues DC’s PARCC-era alignment to the Common Core State Standards and uses the same general development/review approach described by OSSE. The page says DC Math follows the same rigorous development and review process and measures the knowledge and skills that matter most for DC students, while also explicitly tying the assessments to CCSS.

Blueprint & weighting

DC CAPE uses the PARCC-derived / Common Core-based framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

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

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