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

This domain measures statistical reasoning, data analysis, and inference. This Algebra II reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Algebra IIStatistics 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. interpret linear models

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).

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8 free questions · 0/0 correct

Practice playmedium

A cold front is expected to reduce a reservoir's algae volume by 34\frac{3}{4} of its previous amount each week. The volume is 640640 cubic meters at the start of week 00. Which equation models the algae volume A(w)A(w), in cubic meters, after ww weeks?

A reduction of 34\frac{3}{4} of the previous volume leaves a remaining factor of 14\frac{1}{4} each week. Starting from 640640, the volume after ww weeks is A(w)=640(14)wA(w)=640\left(\frac{1}{4}\right)^w.

Practice playeasy

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

Set A:
3,7,11,153, 7, 11, 15
Set B:
6,8,10,12,146, 8, 10, 12, 14
Set C:
8,9,10,11,128, 9, 10, 11, 12
Set D:
4,8,12,16,204, 8, 12, 16, 20

Set C has mean 1010 with values within one step of the center (88 through 1212), giving the smallest standard deviation, about 1.41.4. Sets A, B, and D spread farther from their means.

Practice playeasy

Five quiz scores are 82,82\textsf{,} 75,75\textsf{,} 90,90\textsf{,} 85,85\textsf{,} and 68.68\textsf{.} Which data set has the same mean?

The original mean is 82+75+90+85+685=80\dfrac{82 + 75 + 90 + 85 + 68}{5} = 80. The set 70,70\textsf{,} 75,75\textsf{,} 80,80\textsf{,} 85,85\textsf{,} 9090 also has mean 8080, so the means match.

Practice playeasy

The practice times, in minutes, for five days are 35,35\textsf{,} 15,15\textsf{,} 20,20\textsf{,} 40,40\textsf{,} and 25.25\textsf{.} Which data set has the same median?

In order, the original values have middle value 2525, so the median is 2525. The set 17,17\textsf{,} 23,23\textsf{,} 25,25\textsf{,} 40,40\textsf{,} 4848 also has median 2525, so the medians match.

Practice playeasy

A student read 3030, 4545, 3535, 4040, 5050, and 2525 pages on six days of a reading challenge. On a seventh day, she read xx pages. The mean number of pages read per day over all seven days is 3838. What is the value of xx?

Seven days with a mean of 3838 pages total 7×38=2667 \times 38 = 266. Since 30+45+35+40+50+25=22530 + 45 + 35 + 40 + 50 + 25 = 225, x=266225=41x = 266 - 225 = 41.

Practice playeasy

A dot plot of quiz scores shows 4 dots above 8, 5 dots above 9, and 3 dots above 10. How many quiz scores are shown in all?

Each dot is one score: 4+5+3=124 + 5 + 3 = 12.

Practice playeasy

For a normal distribution, approximately what percent of data lies more than 2 standard deviations from the mean (counting both tails)? (Use the empirical rule; enter the number of percent.)

About 95%95\% of the data lies within 2 SD of the mean, so 100%95%=5%100\% - 95\% = 5\% lies more than 2 SD away.

Practice playeasy

Find the mean of 4,7,104, 7, 10.

Mean =4+7+103=213=7= \dfrac{4 + 7 + 10}{3} = \dfrac{21}{3} = 7.

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.