On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for 7 trials of this experiment. 541, 800, 667, 362, 542, 667, 800 Send data to calculator (a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place. 1 2 (b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: 0 O two modes: and ?

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### Reaction Time Experiment Analysis

In this experiment, a participant is exposed to a constant soft noise that is occasionally interrupted by a slightly louder sound at unpredictable intervals. The participant's reaction times to these louder sounds are recorded. Below is the list of reaction times (in milliseconds) for 7 trials:

**Reaction Times (ms):** 541, 800, 667, 362, 542, 667, 800

**Questions:**

#### (a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
      **Median:** [____]

#### (b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
      **Mean:** [____]

#### (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
      **Modes:**
       - Zero modes [ ]
       - One mode: [____]
       - Two modes: [____] and [____]

**Instructions:**
To calculate these statistics, you may use any standard statistical methods or tools. You can also send the data to a calculator for easier computation by clicking the "Send data to calculator" button. 

### Explanation of Key Statistical Terms

- **Median:** The median is the middle number in a sorted list of numbers. To find the median, arrange all numbers from smallest to largest and identify the middle number.
- **Mean:** The mean or average is the sum of all numbers divided by the count of numbers.
- **Mode:** The mode is the number that appears most frequently in a data set. A data set can have zero, one, or multiple modes.

### Example Explanation

Consider the sorted version of the reaction times data: 362, 541, 542, 667, 667, 800, 800.

1. **Median Calculation:**
   - Sorted data: 362, 541, 542
Transcribed Image Text:### Reaction Time Experiment Analysis In this experiment, a participant is exposed to a constant soft noise that is occasionally interrupted by a slightly louder sound at unpredictable intervals. The participant's reaction times to these louder sounds are recorded. Below is the list of reaction times (in milliseconds) for 7 trials: **Reaction Times (ms):** 541, 800, 667, 362, 542, 667, 800 **Questions:** #### (a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.       **Median:** [____] #### (b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.       **Mean:** [____] #### (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.       **Modes:**        - Zero modes [ ]        - One mode: [____]        - Two modes: [____] and [____] **Instructions:** To calculate these statistics, you may use any standard statistical methods or tools. You can also send the data to a calculator for easier computation by clicking the "Send data to calculator" button. ### Explanation of Key Statistical Terms - **Median:** The median is the middle number in a sorted list of numbers. To find the median, arrange all numbers from smallest to largest and identify the middle number. - **Mean:** The mean or average is the sum of all numbers divided by the count of numbers. - **Mode:** The mode is the number that appears most frequently in a data set. A data set can have zero, one, or multiple modes. ### Example Explanation Consider the sorted version of the reaction times data: 362, 541, 542, 667, 667, 800, 800. 1. **Median Calculation:** - Sorted data: 362, 541, 542
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