6th Grade Math Data Analysis Practiceby Domain 5Worksheets-1-1 ... - Free Printable

Let's go through each question on the worksheet step by step and solve them with explanations.

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1. Which of the following would be statistical questions?

A statistical question is one that anticipates variability in the data and can be answered by collecting data from a population or sample.

Let’s evaluate each option:

- ✔ How many pets are owned by each student in my grade level?
→ This asks about a variable across a group (each student), so it requires collecting data from multiple people. Statistical question.

- ✘ What is Suzy’s favorite flavor of ice cream?
→ This is about one individual; no variation expected. Not statistical.

- ✔ What was the average test score of the 6th grade class?
→ Requires collecting test scores from multiple students. Statistical question.

- ✘ How many letters are in my name?
→ Fixed value for an individual. No variability. Not statistical.

- ✔ What is the average household income in the United States?
→ Involves collecting data from many households. Statistical question.

✔ Correct answers:
- How many pets are owned by each student in my grade level?
- What was the average test score of the 6th grade class?
- What is the average household income in the United States?

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2. Data set: {16, 20, 14, 17, 17, 25, 16, 32, 29, 17}

#### Step 1: Order the data
Sorted:
14, 16, 16, 17, 17, 17, 20, 25, 29, 32

#### Find the mean:
Sum = 14 + 16 + 16 + 17 + 17 + 17 + 20 + 25 + 29 + 32
= 14 + 16 = 30
+16 = 46
+17 = 63
+17 = 80
+17 = 97
+20 = 117
+25 = 142
+29 = 171
+32 = 203

Number of values = 10

Mean = 203 ÷ 10 = 20.3

#### Find the median:
Since there are 10 values (even), median = average of 5th and 6th values.

5th = 17, 6th = 17 → (17 + 17)/2 = 17

#### Find the mode:
Most frequent number: 17 appears three times → Mode = 17

#### Find the range:
Range = Max – Min = 32 – 14 = 18

✔ Answers:
- Mean: 20.3
- Median: 17
- Mode: 17
- Range: 18

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3. Describe the distribution of data shown.

The dot plot shows frequency of values on a number line.

Looking at the graph:
- Most dots are clustered around 2, with a peak.
- There are fewer dots to the right (higher numbers), and very few at higher values like 8 and 10.
- The tail extends to the right (higher values), meaning it's skewed right.

✔ Answer: A. Skewed right

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4. Box and Whisker Plot Matching

We have a box plot labeled with points A, B, C, D, E, F.

Standard parts of a box plot:

- A: Left whisker end → Minimum value
- B: Right whisker end → Maximum value
- C: Left side of box → Lower quartile (Q1)
- D: Middle line in box → Median (Q2)
- E: Right side of box → Upper quartile (Q3)
- F: Box itself → represents Interquartile range (IQR), which is Q3 – Q1

So:

| Data Point | Letter |
|----------------------|--------|
| Upper quartile | E |
| Median | D |
| Interquartile range | F |
| Minimum value | A |
| Maximum value | B |
| Lower quartile | C |

✔ Matched as above.

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5. Missing number in data set

Given data: