Which of the following statements is CORRECT about the standard deviation?*1 pointa. The smaller the standard deviation, the more spread the scores are.b. The larger the standard deviation, the less spread the scores are.c. It is a measure of central tendency.d. The larger the standard deviation, the more spread the scores are.
Question
Which of the following statements is CORRECT about the standard deviation?*1 pointa. The smaller the standard deviation, the more spread the scores are.b. The larger the standard deviation, the less spread the scores are.c. It is a measure of central tendency.d. The larger the standard deviation, the more spread the scores are.
Solution
The correct statement about the standard deviation is: "The larger the standard deviation, the more spread the scores are."
Here's why:
a. The smaller the standard deviation, the more spread the scores are. - This is incorrect. A smaller standard deviation means that the scores are closer to the mean, not more spread out.
b. The larger the standard deviation, the less spread the scores are. - This is also incorrect. A larger standard deviation means that the scores are more spread out, not less.
c. It is a measure of central tendency. - This is incorrect. The standard deviation is a measure of dispersion, not central tendency. Measures of central tendency include things like the mean, median, and mode.
d. The larger the standard deviation, the more spread the scores are. - This is correct. A larger standard deviation means that the scores are more spread out. This means there is more variability or dispersion in the data set.
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