MAP Growth Math 6+ Statistics and Probability Practice

Statistics and Probability skills

Develop and use statistical questions

Summarize and describe distributions

Draw inferences and make comparisons from data

Understand and apply probability concepts

Investigate patterns of association and bivariate data

Standards basis

Common Core State Standards–aligned math content progressions (NWEA MAP Growth mathematics instructional areas/goals) — national

How the MAP Growth reports it

MAP Growth is a national interim assessment system built around NWEA’s own instructional areas/goals rather than a state test blueprint. Its math structure is aligned to CCSS-like content progressions and uses aspects of rigor as a cognitive dimension, but those rigor labels are not content domains.

Blueprint & weighting

NWEA publishes MAP Growth as a computer-adaptive assessment with content distributed across instructional areas/goals, but a stable public percentage weighting by instructional area was not located in the accessible official materials reviewed.

Official sources

NWEA Resource Center
NWEA MAP Growth overview

8 free questions · 0/0 correct

Practice playmedium

A coach recorded how many goals the team scored in each of $16$ games. The frequency table shows the results.
$\begin{array}{c|c} \text{Goals scored} & \text{Number of games} \\ \hline 1 & 2 \\ 3 & 4 \\ 5 & 4 \\ 7 & 3 \\ 9 & 3 \end{array}$

What is the mean number of goals scored per game?

Multiply each goal total by its frequency and add: $(1 \times 2) + (3 \times 4) + (5 \times 4) + (7 \times 3) + (9 \times 3) = 82$ . With $16$ games, the mean is $\dfrac{82}{16} = 5.125$ goals per game.

Practice playmedium

Four data sets list quiz scores out of $120$ . Which set has the greatest standard deviation?

Set A: $100, 102, 104, 106$
Set B: $80, 90, 100, 110, 120$
Set C: $98, 99, 100, 101, 102$
Set D: $90, 95, 100, 105, 110$

Set B has mean $100$ with values stepping by $10$ from $80$ to $120$ , so each value is far from the center; its standard deviation is about $14.1$ . Set D has the same range but values cluster nearer the mean, and Sets A and C are tighter.

Practice playeasy

Seven test scores are $70\textsf{,}$ $75\textsf{,}$ $88\textsf{,}$ $85\textsf{,}$ $90\textsf{,}$ $65\textsf{,}$ and $87\textsf{.}$ Which data set has the same mean?

The original mean is $\dfrac{70 + 75 + 88 + 85 + 90 + 65 + 87}{7} = 80$ . The set $65\textsf{,}$ $70\textsf{,}$ $75\textsf{,}$ $80\textsf{,}$ $85\textsf{,}$ $90\textsf{,}$ $95$ also has mean $80$ , so the means match.

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are $58\textsf{,}$ $80\textsf{,}$ $70\textsf{,}$ $62\textsf{,}$ $72\textsf{,}$ $64\textsf{,}$ and $56\textsf{.}$ Which data set has the same median?

In order, the original values have middle value $64$ , so the median is $64$ . The set $54\textsf{,}$ $58\textsf{,}$ $62\textsf{,}$ $64\textsf{,}$ $76\textsf{,}$ $78\textsf{,}$ $86$ also has median $64$ , so the medians match.

Practice playeasy

Mia can pick from $5$ shirts and $2$ hats. How many different (shirt, hat) outfits are possible?

By the counting principle: $5 \times 2 = 10$ .

Practice playeasy

From a table, 9 are on-time AND morning flights and 24 total are morning flights. Find the conditional probability of on-time given morning (simplified fraction).

$P(A\mid B) = \dfrac{P(A \text{ and } B)}{P(B)} = \dfrac{9}{24} = \dfrac{3}{8}$ .

Practice playeasy

Maria earned history quiz scores of $70$ , $82$ , $74$ , and $90$ on four quizzes. On a fifth quiz, her score was $x$ . The mean score on all five quizzes is $81$ . What is the value of $x$ ?

Five quizzes with a mean of $81$ total $5 \times 81 = 405$ . Since $70 + 82 + 74 + 90 = 316$ , $x = 405 - 316 = 89$ .

Practice playeasy

Mia writes three survey questions:

• How many minutes do students in my class spend on homework?
• How many minutes did I spend on homework last night?
• How tall are the players on my team?

How many of the three are statistical questions?

A statistical question anticipates variability. Asking how many minutes students spend on homework, and how tall the players are, both ask about a group, so the answers can differ. Asking how many minutes I spent last night asks about one person on one night, so it has one answer. That makes $2$ statistical questions.

MAP Growth Math 6+ Statistics and Probability. Practice it free.

Statistics and Probability skills

Develop and use statistical questions

Summarize and describe distributions

Draw inferences and make comparisons from data

Understand and apply probability concepts

Investigate patterns of association and bivariate data

Topics mapped to this domain

Central Measures from Tally Charts (ACT)

Compare standard deviation of data sets (ACT)

Comparing means

Comparing medians

Compound probability

Conditional probability

Find score from mean

Identifying Statistical Questions

Interpreting data displays

Mean change from data set edits

Mean from a data list

Measures of center and variability

8 free questions · 0/0 correct

Turn statistics and probability into game time.

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