Chapter 3, Measures of Central Tendency and Spread Video Solutions, An Introduction to Psychological Statistics

Problem 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?

Aparna Shakti

Numerade Educator

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Problem 2

Compare the mean, median, and mode in terms of their sensitivity to extreme scores.

Tanvi Garg

Numerade Educator

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Your younger brother comes home one day after taking a science test. He says that some- one at school told him that “60% of the students in the class scored above the median test grade.” What is wrong with this statement? What if he had said “60% of the students scored above the mean?”

Donna Densmore

Numerade Educator

02:09

Problem 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.

Nick Johnson

Numerade Educator

03:04

Problem 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

Sanchit Jain

Numerade Educator

01:45

Problem 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?

Sheryl Ezze

Numerade Educator

07:25

Problem 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

Khalida Dawar

Numerade Educator

01:16

Problem 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?

Lynn Larson

Numerade Educator

00:55

Problem 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?