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.

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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

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