Statistics and probability in 4th Grade: Free worksheets & answers - Free Printable

It looks like you've uploaded a set of 4th-grade probability and statistics worksheets from mathskills4kids.com, but there is no specific task or question highlighted in the image. However, I can help you solve and explain problems from these types of worksheets based on common questions found in such materials.

Let me go through each visible worksheet and explain how to solve typical problems like those shown:

---

🔹 Worksheet 1: Understanding Probability

#### Problem 1:
> Lucy spins a spinner once. On which color is the spinner more likely to land?

Image Description: A spinner divided into sections — orange (largest), blue, yellow, green, and red.

Solution:
- The spinner has unequal sections.
- The larger the section, the more likely it is to land on that color.
- Since orange takes up the largest portion, the spinner is most likely to land on orange.

✔ Answer: Orange

---

#### Problem 2:
> Rita flips a coin once. Is she more likely to get a head or a tail?

Solution:
- A fair coin has two sides: heads and tails.
- Each outcome has an equal chance: 50%.
- So, she is equally likely to get a head or a tail.

✔ Answer: Equally likely

---

#### Problem 3:
> If Alex selects a marble without looking, which color is he least likely to pick?

Image Description: A bag with marbles:
- Red: 1
- Blue: 6
- Green: 3
- Yellow: 2

Solution:
- Count the number of each color:
- Red: 1
- Blue: 6
- Green: 3
- Yellow: 2
- The least frequent color is red (only 1).
- So, he is least likely to pick a red marble.

✔ Answer: Red

---

#### Problem 4:
> Adrian selects a marble at random without looking. How likely is it that he will pick a red marble?

Marbles:
- Red: 1
- Blue: 6
- Green: 3
- Yellow: 2
→ Total = 1 + 6 + 3 + 2 = 12 marbles

Probability of picking red:
\[
P(\text{Red}) = \frac{\text{Number of red marbles}}{\text{Total marbles}} = \frac{1}{12}
\]

This is a very low probability, so it's unlikely.

✔ Answer: Unlikely (or "1 out of 12")

---

🔹 Worksheet 2: Interpret Line Plots

(Only partial view, but typical problems involve reading data from a line plot.)

Example problem:
> What is the mode of the data?

Solution:
- Mode = most frequent value on the line plot.
- Look for the point with the most X’s.

---

🔹 Worksheet 3: Make Predictions

#### Problem 1:
> Charity selects a marble without looking and then puts it back. She does this 16 times. What is the best prediction for the number of times she’ll pick a blue marble?

Marbles:
- Blue: 3
- Red: 2
- Green: 2
- Yellow: 1
→ Total = 8 marbles

Probability of blue:
\[
P(\text{Blue}) = \frac{3}{8}
\]

Predicted number of blue picks in 16 trials:
\[
\frac{3}{8} \times 16 = 6
\]

✔ Answer: 6 times

---

#### Problem 2:
> Bella spins the spinner 48 times. Calculate the best prediction for the number of times it will land on yellow or pink.

Spinner: Divided into 8 equal parts:
- Yellow: 2 parts
- Pink: 2 parts
- Other colors: 4 parts

So, yellow or pink = 2 + 2 = 4 out of 8 → \( \frac{4}{8} = \frac{1}{2} \)

Prediction:
\[
\frac{1}{2} \times 48 = 24
\]

✔ Answer: 24 times

---

🔹 Worksheet 4: Combinations

> Mrs. Grace wants to pack fruits and a sandwich for her son. She can choose from:
- Fruits: oranges, apples, grapes
- Sandwiches: cheese, chicken, ham

How many different combinations can she make?

Solution:
Use multiplication principle:
- 3 fruit choices × 3 sandwich choices = 9 combinations

✔ Answer: 9 combinations

---

✔ Summary of Key Concepts:

| Concept | Explanation |
|--------|-------------|
| Likely vs. Unlikely | Based on size or frequency |
| Equally Likely | When outcomes have same chance (e.g., coin flip) |
| Mode | Most frequent value in data |
| Mean | Average: sum ÷ number of values |
| Range | Highest – lowest value |
| Prediction | Use probability × number of trials |
| Combinations | Multiply choices when selecting from groups |

---

If you'd like, you can describe a specific problem from one of these sheets, or upload a clear image of a particular question, and I’ll walk you through the full solution step-by-step!