Given a random sample of five data, calculate the standard deviation and range. Round to one decimal place.

x
13
3
1
25
20


Standard deviation = 
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The table below gives the number of hours spent watching TV last week from a random sample of 24 children. Calculate the range.

25	70	63	55	85	66
21	28	87	75	84	21
45	47	65	35	37	32
50	46	40	41	93	19


Range = 


For the first set of dataFor the first set of 

- The standard deviation is approximately \( 10.4 \).
- The range is \( 24 \).

Now, let's calculate the range for the second set of dataFor the first set of 

- The standard deviation is approximately \( 10.4 \).
- The range is \( 24 \).

Now, let's calculate the range for the second set of 

The data is:
\[ 25, 70, 63, 55, 85, 66, 21, 28, 87, 75, 84, 21, 45, 47, 65, 35, 37, 32, 50, 46, 40, 41, 93, 19 \]

For the second set of data, the range is \( 74 \).

Would you like further details on how these calculations were done or have any questions?

Here are some related questions you might find useful:
1. How is the standard deviation calculated step-by-step?
2. What is the difference between population standard deviation and sample standard deviation?
3. How does range provide insights into data variability?
4. What are other measures of dispersion besides range and standard deviation?
5. How do outliers affect the standard deviation and range?

**Tip:** The range is highly sensitive to outliers, while the standard deviation provides a more comprehensive measure of data spread.

Given a random sample of five data, calculate the standard deviation and range. Round to one decimal place.

x
13
3
1
25
20

Standard deviation = 
The table below gives the number of hours spent watching TV last week from a random sample of 24 children. Calculate the range.

25	70	63	55	85	66
21	28	87	75	84	21
45	47	65	35	37	32
50	46	40	41	93	19

Range =

Learn how to calculate the standard deviation and range for a sample of five data points (13, 3, 1, 25, 20) and a second set of 24 data points. This problem introduces key concepts in statistics, including the use of the standard deviation formula and the range calculation, suitable for Grades 10-12.

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