Espanol An intelligence test was recently administered to a group of 22 people. Their respective times for completion (in minutes) were as follows. 21, 26, 32, 32, 32, 34, 36, 37, 38, 38, 38, 38, 39, 42, 42, 43, 43, 43, 44, 44, 44, 44 Send data to calculator Frequency 10+ 8 6. 4 2- 41 20 Send data to Excel 4 25 30 35 Time for completion (in minutes) Answer the questions below. (a) Which measures of central tendency do not exist for this data set? Choose all that apply. (b) Suppose that the measurement 21 (the smallest measurement in the data set) were replaced by 12. Which measures of central tendency would be affected by the change? Choose all that apply. (c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply. 40 45 Mean Median Mode All of these measures exist Mean Median Mode None of these measures Mean Median Mode None of these measures X F 2 Aa

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### Educational Content: Analyzing Data Distribution

An intelligence test was recently administered to a group of 22 people. Their respective times for completion (in minutes) were as follows:

21, 26, 32, 32, 32, 34, 36, 37, 38, 38, 38, 39, 42, 42, 43, 43, 43, 44, 44, 44, 44, 44

#### Data Visualization

The data is represented in a histogram showing the frequency of completion times.

- **X-axis (Time for completion in minutes):** Ranges from 20 to 45.
- **Y-axis (Frequency):** Indicates how many participants completed the test in a certain timeframe.

**Histogram Analysis:**
- A bar representing time interval 20-25 has a frequency of 1.
- A bar for 25-30 also shows a frequency of 1.
- The bar for 30-35 has a frequency of 4.
- The bar representing 35-40 is at 7.
- The bar for 40-45 shows the highest frequency of 9.

#### Questions and Concepts

**(a) Which measures of central tendency do not exist for this data set? Choose all that apply.**

- [ ] Mean  
- [ ] Median  
- [ ] Mode  
- [ ] All of these measures exist  

**(b) Suppose that the measurement 21 (the smallest measurement in the data set) were replaced by 12. Which measures of central tendency would be affected by the change? Choose all that apply.**

- [ ] Mean  
- [ ] Median  
- [ ] Mode  
- [ ] None of these measures  

**(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.**

- [ ] Mean  
- [ ] Median  
- [ ] Mode  
- [ ] None of these measures  

These questions aim to test the understanding of how different measures of central tendency (mean, median, mode) respond to changes in data values within a dataset.
Transcribed Image Text:### Educational Content: Analyzing Data Distribution An intelligence test was recently administered to a group of 22 people. Their respective times for completion (in minutes) were as follows: 21, 26, 32, 32, 32, 34, 36, 37, 38, 38, 38, 39, 42, 42, 43, 43, 43, 44, 44, 44, 44, 44 #### Data Visualization The data is represented in a histogram showing the frequency of completion times. - **X-axis (Time for completion in minutes):** Ranges from 20 to 45. - **Y-axis (Frequency):** Indicates how many participants completed the test in a certain timeframe. **Histogram Analysis:** - A bar representing time interval 20-25 has a frequency of 1. - A bar for 25-30 also shows a frequency of 1. - The bar for 30-35 has a frequency of 4. - The bar representing 35-40 is at 7. - The bar for 40-45 shows the highest frequency of 9. #### Questions and Concepts **(a) Which measures of central tendency do not exist for this data set? Choose all that apply.** - [ ] Mean - [ ] Median - [ ] Mode - [ ] All of these measures exist **(b) Suppose that the measurement 21 (the smallest measurement in the data set) were replaced by 12. Which measures of central tendency would be affected by the change? Choose all that apply.** - [ ] Mean - [ ] Median - [ ] Mode - [ ] None of these measures **(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.** - [ ] Mean - [ ] Median - [ ] Mode - [ ] None of these measures These questions aim to test the understanding of how different measures of central tendency (mean, median, mode) respond to changes in data values within a dataset.
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