Help me please ......Statistics question?

Question

A large standard deviation implies a. a large arithmetic mean b. the process generating the data is not consistent or in control c. that the range of the data is small d. the median and mode are significantly different


A high standard deviation indicates that a. variability is low and scores are close to the mean. b. there is little correlation. c. variability is high and data values occur over a wide range d. the data must cluster towards the high end of the range

Answer 1

1. None of the above.

2. C

B can not be correct for 1 because 'control' implied a range for the variability. Large is not an implication of it being 'out of control'. This is a poorly worded question.

Counter Example

A variability of 1 may be 'too large' for process A... but a variability of 10000000000 may be normal for process B.

Answer 2

Draw yourself a typical bell curve to figure this out. But a large deviation is indicative of a lot of varying answers that are spread along the entire number line. A high deviation means there are a lot of students' scores in a small space.

Answer 3

1. b

2. c.

Question two gives the best impression of what large standard dev/variability really means. It means that your information is really far from the mean. Your data could be all over the place, not close to the mean at all, or it could just mean that in general your world is full of giants and dwarves, not normal sized humans.

Answer 4

To the first... I don't really think any of them are true. The opposite of C would be close. A is sort of true, and D might be true.

To the second, C.

Answer 5

And what is the question? I think you're missing information like formular or numbers? http://en.wikibooks.org/wiki/Handbook_of_Descriptive_Statistics/Measures_of_Central_Tendency/Arithmetic_Mean