50+ Statistics worksheets for 7th Grade on Quizizz | Free & Printable - Free Printable

Let's solve each question step by step and explain the solution.

---

Question 1: What is the mean of this set of data?

Data: 2, 15, 7

#### Solution:
The mean (average) of a set of numbers is calculated as:
\[
\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Number of items}}
\]

1. Sum of the numbers:
\[
2 + 15 + 7 = 24
\]

2. Number of items:
\[
3
\]

3. Calculate the mean:
\[
\text{Mean} = \frac{24}{3} = 8
\]

#### Answer:
\[
\boxed{C}
\]

---

Question 2: Find the median of these numbers:

Data: 2, 3, 4, 5, 7

#### Solution:
The median is the middle number in a sorted list of numbers. If the list has an odd number of items, the median is the middle item. If the list has an even number of items, the median is the average of the two middle numbers.

1. The given list is already sorted: 2, 3, 4, 5, 7.
2. Since there are 5 numbers (an odd number), the median is the middle number.
3. The middle number is the 3rd number in the list:
\[
4
\]

#### Answer:
\[
\boxed{B}
\]

---

Question 3: If you score 76, 85, 97, and 83 on your math tests, what would your median score be?

#### Solution:
1. First, sort the scores in ascending order:
\[
76, 83, 85, 97
\]

2. Since there are 4 scores (an even number), the median is the average of the two middle numbers.
3. The two middle numbers are the 2nd and 3rd numbers in the sorted list:
\[
83 \text{ and } 85
\]

4. Calculate the average of these two numbers:
\[
\text{Median} = \frac{83 + 85}{2} = \frac{168}{2} = 84
\]

#### Answer:
\[
\boxed{D}
\]

---

Question 4: A data set can have more than one median.

#### Solution:
The median is defined as the middle value in a sorted list of numbers. For a given data set, the median is unique unless the data set is empty. Even if the data set has repeated values, the median is still uniquely determined based on its position in the sorted list.

#### Answer:
\[
\boxed{B}
\]

---

Question 5: A data set can have more than one mode.

#### Solution:
The mode is the value that appears most frequently in a data set. A data set can have:
- No mode (if all values appear equally often),
- One mode (unimodal),
- More than one mode (bimodal, trimodal, etc.).

For example:
- In the data set {1, 2, 2, 3}, the mode is 2 (unimodal).
- In the data set {1, 2, 2, 3, 3}, the modes are 2 and 3 (bimodal).

Thus, a data set can indeed have more than one mode.

#### Answer:
\[
\boxed{B}
\]

---

Question 6: To find the average or mean of a set of numbers, add up all the items and divide by...

#### Solution:
The formula for the mean is:
\[
\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Number of items}}
\]

This means you need to divide the sum of all the numbers by the total number of items in the set.

#### Answer:
\[
\boxed{C}
\]

---

Question 7: What is the range?

#### Solution:
The range of a data set is the difference between the largest (maximum) value and the smallest (minimum) value:
\[
\text{Range} = \text{Maximum} - \text{Minimum}
\]

#### Answer:
\[
\boxed{A}
\]

---

Final Answers:

1. \(\boxed{C}\)
2. \(\boxed{B}\)
3. \(\boxed{D}\)
4. \(\boxed{B}\)
5. \(\boxed{B}\)
6. \(\boxed{C}\)
7. \(\boxed{A}\)

Boxed Final Answer:
\[
\boxed{C, B, D, B, B, C, A}
\]