1. If the mean time to respond to a stimulus is much higher than
the median time to respond, what can you say about the shape of the
distribution of response times?
2. Compare the mean, median, and mode in terms of their
sensitivity to extreme scores.
3. Your younger brother comes home one day after taking a
science test. He says that some- one at school told him that ā60%
of the students in the class scored above the median test grade.ā
What is wrong with this statement? What if he had said ā60% of the
students scored above the mean?ā
4. Make up three data sets with 5 numbers each that have: a. the
same mean but different standard deviations. b. the same mean but
different medians. c. the same median but different means.
5. Compute the population mean and population standard deviation
for the following scores (remember to use the Sum of Squares
table): 5, 7, 8, 3, 4, 4, 2, 7, 1, 6
6. For the following problem, use the following scores: 5, 8, 8,
8, 7, 8, 9, 12, 8, 9, 8, 10, 7, 9, 7, 6, 9, 10, 11, 8 a. Create a
histogram of these data. What is the shape of this histogram? b.
How do you think the three measures of central tendency will
compare to each other in this dataset? c. Compute the sample mean,
the median, and the mode d. Draw and label lines on your histogram
for each of the above values. Do your results match your
predictions?
7. Compute the range, sample variance, and sample standard
deviation for the following scores: 25, 36, 41, 28, 29, 32, 39, 37,
34, 34, 37, 35, 30, 36, 31, 31
8. Using the same values from problem 7, calculate the range,
sample variance, and sample standard deviation, but this time
include 65 in the list of values. How did each of the three values
change?
9. Two normal distributions have exactly the same mean, but one
has a standard deviation of 20 and the other has a standard
deviation of
10. How would the shapes of the two distributions compare? 10.
Compute the sample mean and sample standard deviation for the
following scores: -8, -4, -7, -6, -8, -5, -7, -9, -2, 0