Math 116 - Chapters 2 and 3 – Thinking about it

1)All questions on this page are related to the boxplots shown below

Part I – Complete the following:

a) The minimum value of data set I is ______

b) The range of data set II is ______

c) The median of data set I is ______

d) The interquartile range of data set II is ______

e) The third quartile of data set I is ______

f) The first quartile of data set II is ______

g) List the five-number-summary for data set I ______

Part II – Circle the correct choice:

a) TRUE OR FALSE? In data set I there are more data values between the first quartile and the median than between the median and the third quartile

b) TRUE OR FALSE? About 75% of the values in data set I are smaller than or equal to about 75% of the values in data set II

c) TRUE OR FALSE? The median of data set I is higher than the median of data set II

d) Circle the choice that describes the shape of the distribution

DATA SET I

Left SkewedClose to SymmetricRight Skewed

DATA SET II

Left SkewedClose to SymmetricRight Skewed

2) THINK AND ANSWER – DON’T WASTE TIME CALCULATING

The quizzes scores of 15 students enrolled in an Elementary Algebra class were recorded in ascending order as follows:

4, 7, 7, 9, 10, 11, 13, 15, 15, 15, 17, 17, 19, 19, 20

After calculating the mean, median, and mode, an error is discovered: one of the 15’s is really a 17.

The measures of central tendency which will change are:

(a)the mean only

(b)the mode only

(c)the median only

(d)the mean and mode

(e)the median and mode

(f)all three measures

3) Consider the distribution of heights of all the NBA players. What would you expect the shape of the distribution to be?

SymmetricRight SkewedLeft SkewedUniform

4) Consider the distribution of mathematics SAT scores of students in honors calculus at a liberal arts college. What would you expect the shape and variation of the distribution to be?

SymmetricRight SkewedLeft SkewedUniform

5) Consider again the situation in problem (4); will you say that there is

Little variation among the scores orconsiderable variation among the scores

6) The mathematics SAT scores of the seven students in a mathematics seminar are 524, 559, 580, 586, 615, 628, and 636. Suppose that the student with the score 524 drops the seminar and is replaced by a student with a score of 782. What will happen to the mean and the median scores of the class?

a) Neither the mean nor the median will change.

b) The mean will increase; the median will be unchanged.

c) Both the median and the mean will increase.

d) The median will increase; the mean will be unchanged.

7) All questions on this page are related to the histogram shown below

The histogram shows the distribution of weights (in pounds) for two hundred 18-24 year old males who visited a certain clinic during the month of March.

Use the graph to answer:

a) Describe in words the population and variable (include units)

b) Is this an observational studyor an experiment? (circle one)

c) Is this an example of inferential statisticsordescriptive statistics? (circle one)

e) To describe the variable, circle all that apply.

qualitative or quantitative? (circle one)

discreteorcontinuous? (circle one)

f) According to the graph,

(i) What are the lower and upper limits of the second class?

(ii Give the class width

(iii) What is the midpoint of the second class?

(iv) What are the class boundaries of the last class?

(v) What is the class with the highest frequency?

(vi) What is the relative frequency of the first class?

g) How many players weight between ______and ______? MUST SHOW HOW YOU CALCULATE THIS

h) What percentage of players have weights of 259 lb or higher?