Chapter 1. Tutorial 1.3: Creating and interpreting stemplots and histograms

Question 1

First we will create a stemplot for the heights. This will require the following four values for the stems: --------6,7,8, and 95,6,7, and 97,7,8, and 875,77,81, and 79.

Question 2

In this stemplot, 7|6 represents a height of inches.

Question 3

First assume we do not split the stems, so all leaves for a stem will appear on one row. Then the row for the 7 stem in this stemplot should appear as:

A.

7|456789

B.

7|45679

C.

7|455677999

D.

7|4-9

E.

7|45566779

Question 4

Complete the stemplot correctly by typing in the values on the remaining rows. Notice that no spaces or commas are needed, since each data point is a single digit.

Question 5

Based on this stemplot, the peak of the data set is:

A.

in the 60s

B.

in the 70s

C.

in the 80s

D.

in the 90s

Question 6

Next we want to create a stemplot for the heights with split stems, so that there are two rows for each stem. Give the value of the leaf for each of the following heights, and tell in which row the leaf should be placed (first or second row of the stem).

The value 70 would have leaf and would be placed in the --------firstsecond row of the 7 stem.

The value 82 has leaf and should be placed in the --------firstsecond row of the 8 stem.

The value 75 has leaf and should be placed in the --------firstsecond row of the 7 stem.

The value 69 has leaf and should be placed in the --------firstsecond row of the 6 stem.

The value 78 would have leaf and would be placed in the --------firstsecond row of the 7 stem.

Question 7

Complete the stemplot with split stems correctly by typing in the values on each row:

Question 8

The following features of the data set are more apparent in the stemplot with the split stems than they were in the original stemplot. Select all that apply.

A. The peak of the data set is in the 70s.

B. The largest value in the data set is probably an outlier.

C. Most of the player heights are in the high 70s and low 80s.

D. The smallest height is 69 inches and the largest is 96.

Question 9

Now we are interested in constructing a histogram of the height data. The stemplots can be viewed as “rough drafts” of two possible histograms. Fill in the blanks with the appropriate values:

The stemplot with split stems corresponds to a histogram with bin size , and the original histogram without split stems corresponds to a histogram with bin size .

Question 10

Which choice describes the histogram above?

A.

Bin size 4, minimum value 68

B.

Bin size 4, minimum value 69

C.

Bin size 10, minimum value 60

D.

Bin size 10, minimum value 68

E.

Bin size 12, minimum value 68

F.

Bin size 15, minimum value 60

Question 11

Which choice describes the histogram above?

A.

Bin size 4, minimum value 68

B.

Bin size 4, minimum value 69

C.

Bin size 10, minimum value 60

D.

Bin size 10, minimum value 68

E.

Bin size 12, minimum value 68

F.

Bin size 15, minimum value 60

Question 12

Which choice describes the histogram above?

A.

Bin size 4, minimum value 68

B.

Bin size 4, minimum value 69

C.

Bin size 10, minimum value 60

D.

Bin size 10, minimum value 68

E.

Bin size 12, minimum value 68

F.

Bin size 15, minimum value 60

Question 13

Which choice describes the histogram above?

A.

Bin size 4, minimum value 68

B.

Bin size 4, minimum value 69

C.

Bin size 10, minimum value 60

D.

Bin size 10, minimum value 68

E.

Bin size 12, minimum value 68

F.

Bin size 15, minimum value 60

Question 14

Which choice describes the histogram above?

A.

Bin size 4, minimum value 68

B.

Bin size 4, minimum value 69

C.

Bin size 10, minimum value 60

D.

Bin size 10, minimum value 68

E.

Bin size 12, minimum value 68

F.

Bin size 15, minimum value 60

Question 15

Which choice describes the histogram above?

A.

Bin size 4, minimum value 68

B.

Bin size 4, minimum value 69

C.

Bin size 10, minimum value 60

D.

Bin size 10, minimum value 68

E.

Bin size 12, minimum value 68

F.

Bin size 15, minimum value 60

Question 16

Which of the following statements are consistent with the distribution shown in this histogram? Select all that apply.

A. All values in the data set shown are larger than 68.

B. All values in the data set shown are smaller than 98.

C. The distribution is symmetric.

D. The distribution is skewed to the left.

E. The distribution is skewed to the right.

F. The histogram strongly suggests a high outlier.

G. The histogram strongly suggests a low outlier.

H. There is a gap in the histogram.

I. The distribution shown is bimodal.