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1. The arithmetic average of a set of data is the _______________.
mean
2. The middle score of an ordered distribution is the _________________.
median
3. The most frequently occurring score in a distribution is the ________________.
mode
4. An _____________ is an extreme score that is either very high or very low in comparison with the rest of the scores in the sample.
outlier
5. A distribution with more than two modes is called a _________________ distribution.
multimodal
6. The measure of central tendency most likely to be distorted by outliers is the ____________.
mean
7. A frequency distribution that is bell-shaped, symmetrical, and unimodal is _______________.
normal
8. Negative and positive refer to the ___________ of a distribution.
skew
1. Scores on the GRE (Graduate Record Examination) given to a large sample of undergraduate college students.
A) normal
2. Distribution of time spent waiting (in minutes) by students visiting a doctor at the UCSC Health Center during flu season
3. Distribution of annual income (in dollars) of residents in Santa Cruz County.
B) positively skewed
4. Distribution of scores on a fair statistics exam in which half the students did their homework and attended class and half did neither.
D) bimodal
1. In a distribution that is skewed by a few extreme outliers, what would be the best choice for a measure of central tendency?
A) median
2. In a perfectly normal distribution:
B) the mean, median, and mode are equal to one another
3. Given a set of scores for which the mean is 20, the median is 15, and the mode is 12, describe the skew of the distribution.
C) positive
1a. What is the mean number of hours of television watched per week for this sample of six students? Round your answer to the nearest hundredth.
7.67
1b. What is the median number of hours of television watched per week for this sample of 6 students?
7
2a. Mean
4.3
2a. Median
6
2a. Mode
7
2b. Which measure of central tendency would most likely be reported in a sensationalist media headline to indicate that UCSC is a “party” school? Why?
Mode. Indicator of central tendency with the highest value.
2c. Which measure of central tendency would a student most likely report to his or her parents to dispel their concerns that UCSC is a “party” school? Why?
Mean. Indicator of central tendency with the lowest value.
2d. Which measure of central tendency should one perhaps use to accurately describe the “typical” weekly drinking habits of UCSC students? Why?
Median. While data is not terribly skewed (small sample size), there is some indication of a slight negative skew. mean < median < mode. Less sensitive to the presence of extreme scores, so most likely the best indicator.