Suppose you have a data set of size 26, with mean 50 and standard deviation 8. If you subtract 8 from every data value, how will the mean and standard deviation change? The mean and standard deviation will both stay the same. The mean and standard deviation will both decrease. O The mean and standard deviation will both increase. 2 The mean will decrease and the standard deviation will increase. O The mean will increase and the standard deviation will decrease. ill docroace and the standard deviation will stay the same.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Question:**

Suppose you have a data set of size 26, with a mean of 50 and a standard deviation of 8. If you subtract 8 from every data value, how will the mean and standard deviation change?

**Options:**
- The mean and standard deviation will both stay the same.
- The mean and standard deviation will both decrease.
- The mean and standard deviation will both increase.
- The mean will decrease and the standard deviation will increase.
- The mean will increase and the standard deviation will decrease.
- The mean will decrease and the standard deviation will stay the same.
- The mean will increase and the standard deviation will stay the same.

**Explanation:**

When a constant is subtracted from each value in a data set:
- The mean will decrease by that constant.
- The standard deviation will remain unchanged because standard deviation is a measure of the spread or dispersion of the data set, which does not change when each data point is adjusted by the same amount.

**Graph/Diagram:**
There are no graphs or diagrams included in this image.
Transcribed Image Text:**Question:** Suppose you have a data set of size 26, with a mean of 50 and a standard deviation of 8. If you subtract 8 from every data value, how will the mean and standard deviation change? **Options:** - The mean and standard deviation will both stay the same. - The mean and standard deviation will both decrease. - The mean and standard deviation will both increase. - The mean will decrease and the standard deviation will increase. - The mean will increase and the standard deviation will decrease. - The mean will decrease and the standard deviation will stay the same. - The mean will increase and the standard deviation will stay the same. **Explanation:** When a constant is subtracted from each value in a data set: - The mean will decrease by that constant. - The standard deviation will remain unchanged because standard deviation is a measure of the spread or dispersion of the data set, which does not change when each data point is adjusted by the same amount. **Graph/Diagram:** There are no graphs or diagrams included in this image.
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