Question 1185332
**1. Carry-on Luggage Weights:**

*   **Mean:**  Sum of weights / Number of bags = (12 + 25 + 10 + 38 + 12 + 19 + 8 + 12 + 17) / 9 = 173 / 9 ≈ 19.22

*   **Median:**  First, order the weights from least to greatest: 8, 10, 12, 12, 12, 17, 19, 25, 38.  The median is the middle value, which is 12.

*   **Mode:** The mode is the most frequent value.  In this case, 12 appears 3 times, which is the most. So, the mode is 12.

*   **Midrange:** (Maximum value + Minimum value) / 2 = (38 + 8) / 2 = 46 / 2 = 23

**2. Northern Pike Lengths:**

*   **Range:** Maximum value - Minimum value = 46 - 21 = 25

*   **Standard Deviation:**

    1.  **Calculate the mean:** (21 + 27 + 46 + 35 + 41 + 36 + 25) / 7 = 231 / 7 = 33

    2.  **Subtract the mean from each length and square the result:**
        *   (21 - 33)² = 144
        *   (27 - 33)² = 36
        *   (46 - 33)² = 169
        *   (35 - 33)² = 4
        *   (41 - 33)² = 64
        *   (36 - 33)² = 9
        *   (25 - 33)² = 64

    3.  **Sum the squared differences:** 144 + 36 + 169 + 4 + 64 + 9 + 64 = 490

    4.  **Divide the sum by (n - 1), where n is the number of lengths (this is the sample variance):** 490 / (7 - 1) = 490 / 6 ≈ 81.67

    5.  **Take the square root of the variance to get the standard deviation:** √81.67 ≈ 9.04

*   **Variance:** As calculated in step 4 above, the variance is approximately 81.67.