Question

i have a question below ..

What does a large standard deviation suggest?

1.Scores are not widely distributed and the mean is a reliable measure of central tendency

2.Scores are widely distributed and that the mean may not be a reliable measure of central tendency

3.All of the measures of central tendency would be reliable

4.None of the answers are correct

Answer 1

What does a large standard deviation suggest?

2. Scores are widely distributed and that the mean may not be a reliable measure of central tendency.

Explanation:

When the standard deviation is large, then the deviations between the observations and mean would be larger. This means, scores will be distributed widely. For this widely distributed data, the arithmetic mean may not be a reliable measure of central tendency. We can use median or mode as measure of central tendency in this case.