Here is the second data set. 49 84 44 89 74 26 80 39 92 49 d. What is the mean (T) of this data set? e. What is the median of this data set? f. What is the mode of this data set?

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### Data Analysis: Calculating Mean, Median, and Mode

#### Introduction
In this exercise, we will calculate the mean, median, and mode for two sets of data. **Please show your answer to one decimal place if necessary.**

#### Data Set 1
Below is the first data set:

| 48 | 78 | 53 | 22 | 45 | 42 | 61 | 97 | 87 | 22 | 54 |

#### Steps to Calculate:
1. **Mean:** Add all numbers together and then divide by the total count of numbers.
2. **Median:** Arrange the numbers in ascending order and find the middle value.
3. **Mode:** Identify the number(s) that appear most frequently.

**Example Steps for Data Set 1:**

1. **Mean Calculation:**
   - Sum of numbers: \(48 + 78 + 53 + 22 + 45 + 42 + 61 + 97 + 87 + 22 + 54\)
   - Total count: 11
   - Mean: Sum / Total count

2. **Median Calculation:**
   - Arrange numbers in ascending order: \(22, 22, 42, 45, 48, 53, 54, 61, 78, 87, 97\)
   - Median is the middle value: 53

3. **Mode Calculation:**
   - Frequent number(s): 22 (since it appears twice)

Proceed with these steps to perform your calculations and record the answers appropriately. This exercise will enhance your understanding of basic statistical measures.
Transcribed Image Text:### Data Analysis: Calculating Mean, Median, and Mode #### Introduction In this exercise, we will calculate the mean, median, and mode for two sets of data. **Please show your answer to one decimal place if necessary.** #### Data Set 1 Below is the first data set: | 48 | 78 | 53 | 22 | 45 | 42 | 61 | 97 | 87 | 22 | 54 | #### Steps to Calculate: 1. **Mean:** Add all numbers together and then divide by the total count of numbers. 2. **Median:** Arrange the numbers in ascending order and find the middle value. 3. **Mode:** Identify the number(s) that appear most frequently. **Example Steps for Data Set 1:** 1. **Mean Calculation:** - Sum of numbers: \(48 + 78 + 53 + 22 + 45 + 42 + 61 + 97 + 87 + 22 + 54\) - Total count: 11 - Mean: Sum / Total count 2. **Median Calculation:** - Arrange numbers in ascending order: \(22, 22, 42, 45, 48, 53, 54, 61, 78, 87, 97\) - Median is the middle value: 53 3. **Mode Calculation:** - Frequent number(s): 22 (since it appears twice) Proceed with these steps to perform your calculations and record the answers appropriately. This exercise will enhance your understanding of basic statistical measures.
**Data Analysis Exercise**

**Here is the second data set:**

49, 84, 44, 89, 74, 26, 80, 39, 92, 49

**d.** What is the mean (\(\bar{x}\)) of this data set? 
   
   [Answer Box]

**e.** What is the median of this data set? 
   
   [Answer Box]

**f.** What is the mode of this data set? 
   
   [Answer Box]
Transcribed Image Text:**Data Analysis Exercise** **Here is the second data set:** 49, 84, 44, 89, 74, 26, 80, 39, 92, 49 **d.** What is the mean (\(\bar{x}\)) of this data set? [Answer Box] **e.** What is the median of this data set? [Answer Box] **f.** What is the mode of this data set? [Answer Box]
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