SC READY Grade 6 Data, Probability, and Statistical Reasoning Practice

Data, Probability, and Statistical Reasoning skills

6.DPSR.1.1 to 1.4

6.DPSR.2.1 to 2.3

Standards basis

2025 South Carolina College- and Career-Ready Mathematics Standards — South Carolina

How the SC READY reports it

SC READY is South Carolina’s state assessment program and does not use a national blueprinted framework like SBAC or NAEP. Its math tests are aligned to the 2025 South Carolina College- and Career-Ready Mathematics Standards and organized into state-specific reporting categories.

Blueprint & weighting

The blueprint publishes approximate item-count ranges by reporting category, not percentages. Grade 3: DPSR 7-10, MGSR 15-18, NR 15-18, PAFR 9-13; Grade 4: DPSR 7-9, MGSR 12-15, NR 12-15, PAFR 15-19; Grade 5: DPSR 8-10, MGSR 11-14, NR 9-11, PAFR 17-21; Grade 6: DPSR 9-11, MGSR 11-14, NR 7-9, PAFR 18-21; Grade 7: DPSR 11-14, MGSR 13-17, NR 6-8, PAFR 14-18; Grade 8: DPSR 8-10, MGSR 15-19, NR 7-9, PAFR 14-18. All grades are 50 operational items, with additional field-test items; DOK ranges are 15-40% level 1, 55-85% level 2, and 0-10% level 3.

Official sources

South Carolina Department of Education SC READY page
South Carolina Department of Education Test Blueprints
SC READY Mathematics Grades 3-5 Test Blueprint (2025-26)

8 free questions · 0/0 correct

Practice playeasy

What is the probability of drawing a red ball from 2 red and 3 blue? Give a simplified fraction.

$P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{2}{5} = \dfrac{2}{5}$ .

Practice playeasy

Two fair coins are flipped. How many outcomes are in the sample space?

Each coin has $2$ outcomes, so the sample space has $2 \times 2 = 4$ outcomes: HH, HT, TH, TT.

Practice playmedium

A bag contains $4$ red marbles and $6$ blue marbles. One marble is drawn at random, its color is recorded, and it is placed back in the bag. A second marble is then drawn at random. What is the probability that both marbles are red?

With replacement, each draw is independent: $P(\text{red}) = \dfrac{4}{10} = \dfrac{2}{5}$ . So $P(\text{both red}) = \dfrac{2}{5} \times \dfrac{2}{5} = \dfrac{4}{25}$ .

Practice playeasy

A shipping clerk weighed $14$ packages. The frequency table shows each weight and how many packages had that weight.
$\begin{array}{c|c} \text{Weight (lb)} & \text{Number of packages} \\ \hline 2 & 3 \\ 7 & 2 \\ 12 & 5 \\ 17 & 2 \\ 22 & 2 \end{array}$

What is the median package weight?

There are $14$ weights. Listing every weight from least to greatest, the $7$ th and $8$ th values are both $12$ , so the median is $12$ pounds.

Practice playmedium

Five test scores are $70$ , $78$ , $84$ , $90$ , and $96$ . One score is removed from the data set, but which score was removed is not stated. How does this affect the mean?

The mean of the five given scores can be found, but removing a different score changes the mean in different ways. Without knowing which score was removed, the effect cannot be determined.

Practice playeasy

Seven test scores are $70\textsf{,}$ $75\textsf{,}$ $88\textsf{,}$ $85\textsf{,}$ $90\textsf{,}$ $65\textsf{,}$ and $87\textsf{.}$ What is the mean score?

Mean $= \dfrac{70 + 75 + 88 + 85 + 90 + 65 + 87}{7} = \dfrac{560}{7} = 80$ .

Practice playeasy

Find the range of 10, 3, 15, 6.

Range $= \max - \min = 15 - 3 = 12$ .

Practice playeasy

The distances, in miles, run on seven days are $14\textsf{,}$ $6\textsf{,}$ $20\textsf{,}$ $9\textsf{,}$ $11\textsf{,}$ $18\textsf{,}$ and $6\textsf{.}$ What is the median distance?

In order, the values are $6\textsf{,}$ $6\textsf{,}$ $9\textsf{,}$ $11\textsf{,}$ $14\textsf{,}$ $18\textsf{,}$ $20\textsf{.}$ The median is the middle value, $11\textsf{.}$