MCA Grade 6 Statistics and Probability. Practice it free.

Develops statistical understanding by summarizing distributions and solving data-related problems. This Grade 6 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 67 mapped skills
What the test measures

Statistics and Probability skills

  1. Develop statistical questions

  2. Display numerical data in plots on a number line, including dot plots, histograms, and box plots

  3. Summarize numerical data sets in relation to their context

  4. Understand variability of data and measures of center

  5. Recognize that a measure of center describes a set of data and variability is a measure of spread

Standards basis

Minnesota Academic Standards in Mathematics (2007; assessed by MCA-III in grades 3-8 and 11 through 2026-27. 2022 standards phase in with MCA-IV beginning 2027-28) — Minnesota

How the MCA reports it

Minnesota’s MCA math is a state assessment tied to Minnesota Academic Standards in Mathematics rather than a separate national framework. The official public resources available here point to Minnesota-specific standards implementation, and absent a test blueprint, the coverage map should be organized by the state’s grade-level math domains that closely parallel CCSS-M. Note: the current MCA-III assesses the 2007 Minnesota standards in grades 3-8 and 11; Minnesota administers a single comprehensive high-school (grade 11) math test, NOT Algebra I / Geometry / Algebra II end-of-course exams — the 'High School / MCA EOC' band below is the grade-11 HS administration. (MCA-IV on the 2022 standards begins 2027-28.)

Blueprint & weighting

MCA uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playmedium

A survey asked students how many siblings they have. The frequency table shows the responses.
Number of siblingsNumber of students0312243542\begin{array}{c|c} \text{Number of siblings} & \text{Number of students} \\ \hline 0 & 3 \\ 1 & 2 \\ 2 & 4 \\ 3 & 5 \\ 4 & 2 \end{array}

What is the mean number of siblings per student?

Multiply each sibling count by its frequency and add: (0×3)+(1×2)+(2×4)+(3×5)+(4×2)=33(0 \times 3) + (1 \times 2) + (2 \times 4) + (3 \times 5) + (4 \times 2) = 33. With 1616 students, the mean is 3316=2.0625\dfrac{33}{16} = 2.0625 siblings.

Practice playeasy

Five students answered the statistical question "How many hours did you sleep last night?" The answers were 9,4,11,6,29, 4, 11, 6, 2. What is the median number of hours?

The median describes the center: put the values in order and take the middle. In order: 2,4,6,9,112, 4, 6, 9, 11. The middle value is 66.

Practice playeasy

Jaden lists four questions:

• What is my dog's weight?
• How much do the dogs at the animal shelter weigh?
• How old is my teacher?
• How tall is my desk?

How many of the four are statistical questions?

A statistical question anticipates variability. Asking how much the dogs at the animal shelter weigh asks about a group, so the weights can differ. Asking about one dog, one teacher, or one desk has a single answer. That makes 11 statistical question.

Practice playeasy

A biologist measures five plant heights, in inches: 5858, 6060, 6262, 6464, and 6666. The tallest plant, 6666 inches, is removed from the data set. How does this affect the mean?

The mean of the original five heights is 58+60+62+64+665=62\dfrac{58+60+62+64+66}{5}=62 inches. Because 66>6266>62, removing the largest value lowers the mean.

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{.} What is the mean distance?

Mean =6+8+12+9+14+7+147=707=10= \dfrac{6 + 8 + 12 + 9 + 14 + 7 + 14}{7} = \dfrac{70}{7} = 10.

Practice playeasy

Find the median of 3, 7, 9.

Order the data and take the middle value(s): median =7= 7.

Practice playeasy

Seven test scores are 90,90\textsf{,} 50,50\textsf{,} 80,80\textsf{,} 55,55\textsf{,} 72,72\textsf{,} 60,60\textsf{,} and 83.83\textsf{.} What is the median score?

In order, the values are 50,50\textsf{,} 55,55\textsf{,} 60,60\textsf{,} 72,72\textsf{,} 80,80\textsf{,} 83,83\textsf{,} 90.90\textsf{.} The median is the middle value, 72.72\textsf{.}

Practice playmedium

A fitness tracker recorded daily step counts, in thousands of steps, over 1414 days. The frequency table shows the results.
Steps (thousands)Number of days5382114143172\begin{array}{c|c} \text{Steps (thousands)} & \text{Number of days} \\ \hline 5 & 3 \\ 8 & 2 \\ 11 & 4 \\ 14 & 3 \\ 17 & 2 \end{array}

What is the mean step count per day?

Multiply each step count by its frequency and add: (5×3)+(8×2)+(11×4)+(14×3)+(17×2)=151(5 \times 3) + (8 \times 2) + (11 \times 4) + (14 \times 3) + (17 \times 2) = 151. With 1414 days, the mean is 1511410.79\dfrac{151}{14} \approx 10.79 thousand steps.

Keep practicing

Turn statistics and probability into game time.

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