Time (Months) Number of Articles 0-0.9 46 1.0-1.9 18 2.0-2.9 15 3.0-3.9 20 4.0-4.9 14 5.0-5.9 13 Send data to Excel Approximate the variance of the times. Round the answer to at least two decimal places. variance is 12.5

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**Time to Review**

The following table presents the time taken to review articles that were submitted for publication to a particular journal during a recent year. A few articles took longer than 6 months to review; these are omitted from the table. Consider the data to be a population.

| Time (Months) | Number of Articles |
|---------------|--------------------|
| 0.0 - 0.9     | 46                 |
| 1.0 - 1.9     | 18                 |
| 2.0 - 2.9     | 15                 |
| 3.0 - 3.9     | 20                 |
| 4.0 - 4.9     | 14                 |
| 5.0 - 5.9     | 13                 |

**Summary:**

- **Variance of the times:**  
  Approximate the variance of the times. Round the answer to at least two decimal places.  
  The variance is **12.5**.

- **Standard deviation of the times:**  
  Approximate the standard deviation of the times. Round the answer to at least two decimal places.  
  The standard deviation is **156.8**.

**Notes on Variance and Standard Deviation Calculation:**

Variance measures how spread out the times are around the mean (average) time. It is the average of the squared differences from the mean. Standard deviation is the square root of the variance, giving a measure of spread in the same units as the original data.

To illustrate, the table groups the number of articles reviewed into different time brackets (months). For example, 46 articles took 0 to 0.9 months to review, 18 articles took 1 to 1.9 months, and so on. Using these groupings, the variance was calculated as 12.5, indicating some spread around the average review time. The standard deviation of 156.8 further quantifies this spread in practical terms.

For easier manipulation and analysis, the data can be sent to Excel using the provided function.
Transcribed Image Text:**Time to Review** The following table presents the time taken to review articles that were submitted for publication to a particular journal during a recent year. A few articles took longer than 6 months to review; these are omitted from the table. Consider the data to be a population. | Time (Months) | Number of Articles | |---------------|--------------------| | 0.0 - 0.9 | 46 | | 1.0 - 1.9 | 18 | | 2.0 - 2.9 | 15 | | 3.0 - 3.9 | 20 | | 4.0 - 4.9 | 14 | | 5.0 - 5.9 | 13 | **Summary:** - **Variance of the times:** Approximate the variance of the times. Round the answer to at least two decimal places. The variance is **12.5**. - **Standard deviation of the times:** Approximate the standard deviation of the times. Round the answer to at least two decimal places. The standard deviation is **156.8**. **Notes on Variance and Standard Deviation Calculation:** Variance measures how spread out the times are around the mean (average) time. It is the average of the squared differences from the mean. Standard deviation is the square root of the variance, giving a measure of spread in the same units as the original data. To illustrate, the table groups the number of articles reviewed into different time brackets (months). For example, 46 articles took 0 to 0.9 months to review, 18 articles took 1 to 1.9 months, and so on. Using these groupings, the variance was calculated as 12.5, indicating some spread around the average review time. The standard deviation of 156.8 further quantifies this spread in practical terms. For easier manipulation and analysis, the data can be sent to Excel using the provided function.
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