Find the mean, median, and mode of the set of numbers. $$ 97,75,98,75,55,53,97,56,73,62,55,55 $$ What is the mean? $$ \square $$ (Type an integer or decimal rounded to one decimal place as needed.) What is the median? $$ \square $$ (Type an integer or a decimal.) What is the mode? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode is B. There is no mode.

Question

UpStudy AI · Accepted Answer

Let's calculate the mean, median, and mode for the given set of numbers:

**Given Numbers:**
$$ 97, 75, 98, 75, 55, 53, 97, 56, 73, 62, 55, 55 $$

### 1. Mean
**Calculation:**
$$
\text{Mean} = \frac{97 + 75 + 98 + 75 + 55 + 53 + 97 + 56 + 73 + 62 + 55 + 55}{12} = \frac{851}{12} \approx 70.9
$$

$$
\boxed{70.9}
$$

### 2. Median
**Step-by-Step:**
1. **Sort the Numbers:**
$$
53, 55, 55, 55, 56, 62, 73, 75, 75, 97, 97, 98
$$
2. **Find the Middle Values:**
   - Since there are 12 numbers, the median is the average of the 6th and 7th numbers.
   - 6th number: 62
   - 7th number: 73

3. **Calculate the Median:**
$$
\text{Median} = \frac{62 + 73}{2} = \frac{135}{2} = 67.5
$$

$$
\boxed{67.5}
$$

### 3. Mode
**Identification:**
- **Frequency of Each Number:**
  - 53: 1 time
  - 55: 3 times
  - 56: 1 time
  - 62: 1 time
  - 73: 1 time
  - 75: 2 times
  - 97: 2 times
  - 98: 1 time

- **Mode:** The number that appears most frequently is **55**.

**Answer:**

**A. The mode is $$ \boxed{55} $$.**
**Mean:** 70.9 **Median:** 67.5 **Mode:** 55

Real Tutor Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Statistics Questions