3. Indicate whether the given statement could apply to a data set consisting of 1,000 values that are all different.

Question

a. The 29th percentile is greater than the 30th percentile.
b. The median is greater than the first quartile.
c. The third quartile is greater than the first quartile.
d. The mean is equal to the median.
e. The range is zero.

Answer 1

In any distribution, the median (50th percentile) is always higher than the first quartile (25th percentile) and the third quartile (75th percentile) is greater than the first quartile.

The 29th percentile is always less than the 30th percentile.

The mean = median only in a normal distribution.

Range = 0 only if all the scores are identical.

Two of the answers apply.

Answer 2

By the way, note the correct spelling above.

Answer 3

Standard deviation for the following sets
and compare the differences.

first 7 #'s 57 61 57 57 58 57 61

second 7#'s 61 52 69 64 46 54 47

Answer 4

First 7"s = 1
The second 7's = 5.75

Answer 5

I got the same answer for standard deviation, except the 5.75 should be rounded to the nearest tenth.