,1. Five students received the following test scores: 7, 11, 5, 6, and 11. Calculate the mode,
median, mean, and range of this distribution of scores. Which measure of central
tendency would change the most if an additional test score of 2 were included in the
distribution?
2. The table lists the scores of eight students on a test to measure anxiety, as well as the
typical number of cigarettes each person smokes daily. Scores on the anxiety test can
range anywhere from a low of 0 (indicating very low anxiety) to a high of 30 (indicating
very high anxiety).
Anxiety Cigarettes
Student Test Score Smoked Daily
1 8 11
2 9 3
3 15 11
4 14 16
5 21 26
6 12 10
7 22 24
8 17 18
Construct a scatterplot to represent the correlation between smoking and anxiety.
Describe the direction of the correlation and give two possible explanations for it.
3. At Michigan State University, 32 students are enrolled in class A, 48 students are
enrolled in class B, and 16 students are enrolled in class C. For which of these three
classes is there the greatest probability that more than 75 percent of the students have
blond hair? Explain your answer and indicate why this explanation has relevance for
generalizing appropriately from samples to the larger populations in which you are
interested.
Page 1
,Answer Key
1.
2.
3.
Page 2
, 1. The average price for different brands of toothpaste could be visually displayed
in a(n)
A) correlation coefficient.
B) scatterplot.
C) standard deviation.
D) bar graph.
2. When you read a bar graph, it is most important for you to
A) mentally transform the data into a normal curve.
B) identify the value of the standard deviation.
C) note the range and size of the scale values.
D) remember that correlation facilitates prediction.
3. The most frequently occurring score in a distribution of scores is the
A) mode.
B) median.
C) standard deviation.
D) mean.
4. In a group of five individuals, two report annual incomes of $10,000, and the
other three report incomes of $14,000, $15,000, and $31,000, respectively. The
mode of this group's distribution of annual incomes is
A) $10,000.
B) $15,000.
C) $16,000.
D) $31,000.
5. The mean of a distribution of scores is the
A) most frequently occurring score.
B) arithmetic average of all the scores.
C) least frequently occurring score.
D) score exceeded by 50 percent of all the scores.
6. Which measure of central tendency is used to calculate the average of your
school grades?
A) standard deviation
B) median
C) mean
D) mode
Page 1
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