Explanation:

To solve for the standard deviation of the dataset 5, 3, 4, 7, follow these steps:

- Calculate the mean:

- Mean = (5 + 3 + 4 + 7) / 4 = 19 / 4 = 4.75.

- Find the squared differences from the mean:

- (5 - 4.75)² = 0.0625

- (3 - 4.75)² = 3.0625

- (4 - 4.75)² = 0.5625

- (7 - 4.75)² = 5.0625

- Calculate the average of these squared differences:

- Variance = (0.0625 + 3.0625 + 0.5625 + 5.0625) / 4 = 2.1875

- Find the square root of the variance to get the standard deviation:

- Standard deviation = v2.1875 ˜ 1.48

- Match with the options:

- Option 1: 1.48

- Option 2: 3.21

- Option 3: 4.12

- Option 4: 2.45

- Highlight correct answer:

- Option 1: 1.48

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