6th Grade Statistical Questions and Data Displays Test Solutions and Scoring (PDF)

6th Grade math test solutions: Statistical Questions and Data Displays – Maths PDF

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This statistical questions test answers for 6th Grade covers statistical questions and data displays (Common Core 6.SP.A.1, 6.SP.A.2, 6.SP.B.4, 6.SP.B.5a, 6.SP.B.5b), with a free PDF to print.

Use this key to score the test out of 20 points. Each solution is fully worked, and the scoring line explains how to award each point and partial credit.

Grade 6 · Common Core State Standards: 6.SP.A.1, 6.SP.A.2, 6.SP.B.4, 6.SP.B.5a, 6.SP.B.5b

Statistical questions test answers: worked solutions

Question 1 – Statistical questions [2 pts]

(a) Yes: the answers vary from student to student.

(b) No: there is one answer.

Scoring: 1 point for each part with a reason.

Question 2 – Count observations [2 pts]

Dots: 2 + 3 + 2 + 2 + 1 = 10 players.

The most common age is 13 (3 dots).

The age 13 has 3 dots.

Scoring: 1 point for 10 players; 1 point for 13.

Question 3 – Range [2 pts]

\(16 – 12 = 4\).

Scoring: 1 point for greatest and least; 1 point for 4.

Question 4 – Fraction of data [2 pts]

Ages 15, 15, 16: 3 players out of 10.

\(\frac{3}{10}\).

Scoring: 1 point for counting 3; 1 point for 3/10.

Question 5 – Histogram [2 pts]

Heights: 3, 6, 5, 2. Total 16.

30 or more: 5 + 2 = 7.

Bars: 3, 6, 5, 2. Total 16; 30 or more: 5 + 2 = 7.

Scoring: 1 point for the total; 1 point for the count 30 or more.

Question 6 – Describe the data [2 pts]

Center: about 6. Spread: values from 4 to 20, with most from 4 to 8. Outlier: 20.

Scoring: 1 point for the center; 1 point for the spread and outlier.

Question 7 – Units and attribute [2 pts]

Attribute: weight (mass). Unit: grams. Observations: 18.

Scoring: 1 point for the attribute and unit; 1 point for the number of observations.

Question 8 – Build a dot plot [3 pts]

Stack dots above each value: 6 (1), 7 (2), 8 (3), 9 (4), 10 (2).

Range \(10 – 6 = 4\). Most common: 9.

The tallest stack is at 9.

Scoring: 1 point for the dot plot; 1 point for the range; 1 point for 9.

Question 9 – Compare displays [3 pts]

A: \(10 – 7 = 3\). B: \(10 – 3 = 7\).

Class B has more variability because its range is greater.

Scoring: 1 point for each range; 1 point for the conclusion.

Total score

Total

20 points

Key facts behind this statistical questions test answers

Key facts

A statistical question has many possible answers.
A dot plot shows one dot for each observation.
A histogram uses equal intervals and bar height shows frequency.
Describe a distribution by center, spread, shape, and outliers.
Always give the attribute, unit, and number of observations.

How to use this statistical questions test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

All Grade 6 chapters: Grade 6 math.

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