Question

(a)
​Find the Mean, Median, Mode and Range for the set of numbers below.
​
​4, 8, 7, 4, 6, 6, 7
​
​Mean =

​
​Median =

​
​Mode =
(b)
A
8
B
6
C
7
D
4
(c)

​Range =

Answer 1

To calculate the Mean, Median, Mode, and Range for the set of numbers: **4, 8, 7, 4, 6, 6, 7**, we will follow the steps outlined below.

### (a)

**1. Mean:**
The mean is calculated by adding all the numbers together and dividing by the total count of numbers.

\[
\text{Mean} = \frac{4 + 8 + 7 + 4 + 6 + 6 + 7}{7} = \frac{42}{7} = 6
\]

**Mean = 6**

---

**2. Median:**
To find the median, we first need to arrange the numbers in ascending order:

**4, 4, 6, 6, 7, 7, 8**

The median is the middle number in the ordered list. Since there are 7 numbers (an odd count), the median is the 4th number:

**Median = 6**

---

**3. Mode:**
The mode is the number that appears most frequently in the set.

In the set:
- **4** appears **2 times**
- **6** appears **2 times**
- **7** appears **2 times**
- **8** appears **1 time**

Since 4, 6, and 7 all appear the most frequently (2 times), we say the data set is **multimodal**.

**Mode = 4, 6, and 7**

### (c)

**4. Range:**
The range is calculated by subtracting the smallest number from the largest number in the dataset.

\[
\text{Range} = 8 - 4 = 4
\]

**Range = 4**

---

### Summary:
- **Mean = 6**
- **Median = 6**
- **Mode = 4, 6, and 7**
- **Range = 4**