Stem-and-Leaf Analysis Quiz � Center & Spread (6.SP.B.4)

1) What should be used as the stems for this data set?

2

3

4

0

The data set has values between 20 and 42, so the stems should be 20, 30, and 40.

Explanation

The data set has values between 20 and 42, so the stems should be 20, 30, and 40.

2) How many leaves should appear in the stem '3' row?

4

6

5

7

The stem '3' corresponds to values 23, 31, 28, 35, 27, 33, 29, 38, 41, 34, 37. There are 6 leaves.

Explanation

The stem '3' corresponds to values 23, 31, 28, 35, 27, 33, 29, 38, 41, 34, 37. There are 6 leaves.

3) In a properly constructed stem-and-leaf plot, the leaves in each row should be arranged:

From smallest to largest

From largest to smallest

In the order they appear in the data set

In random order

In a proper stem-and-leaf plot, leaves should always be arranged from smallest to largest.

Explanation

In a proper stem-and-leaf plot, leaves should always be arranged from smallest to largest.

4) How many stems are needed for this data set?

0

1

2

3

The values range from 7 to 16, so 2 stems are needed: 0 for 7-9 and 1 for 10-16.

Explanation

The values range from 7 to 16, so 2 stems are needed: 0 for 7-9 and 1 for 10-16.

5) Which leaf appears most frequently in the stem '1' row?

1

8

2

5

The most frequent leaf in the stem '1' row is '8'.

Explanation

The most frequent leaf in the stem '1' row is '8'.

6) What would the complete stem '0' row look like (stem | leaves)?

0 | 7 9

0 | 7 8 8 9

0 | 8 8 7 9

0 | 7 8 9

The complete stem '0' row should include the values 7, 8, 8, 9.

Explanation

The complete stem '0' row should include the values 7, 8, 8, 9.

7) Which stems should be used for this data set?

7

8

9

10

The stems for test scores should be 70, 80, and 90, as the scores range from 72 to 95.

Explanation

The stems for test scores should be 70, 80, and 90, as the scores range from 72 to 95.

8) What mistake did the student make?

Used the wrong stems

Forgot to label the plot

Used too many leaves

Did not arrange the leaves in order

The mistake is that the leaves are not arranged in order.

Explanation

The mistake is that the leaves are not arranged in order.

9) Why is it important to include a key with a stem-and-leaf plot?

To show what the stems and leaves represent

To make the plot look more professional

To list all possible values

To calculate the mean

A key is important to explain what the stems and leaves represent.

Explanation

A key is important to explain what the stems and leaves represent.

10) What is the first leaf (smallest value) that should appear in the stem '2' row?

3

5

6

8

The smallest value in the 20s is 23, represented by the leaf '3'.

Explanation

The smallest value in the 20s is 23, represented by the leaf '3'.

11) In the stem '1' row, how many leaves should there be?

8

6

7

5

There should be 7 leaves in the stem '1' row, corresponding to the values 10-16.

Explanation

There should be 7 leaves in the stem '1' row, corresponding to the values 10-16.

12) What is the largest value in this data set?

59

65

63

68

The largest value in this set is 68.

Explanation

The largest value in this set is 68.

13) When creating a stem-and-leaf plot, the 'stem' typically represents:

The ones digit

All digits except the last one

The largest digit

The average of the numbers

The stem represents all digits except the last one, which is the leaf.

Explanation

The stem represents all digits except the last one, which is the leaf.

14) What would be the correct leaves for stem '8' in order?

5 8 3 2 9 7 0

0 3 5 2 7 8 9

5 3 8 2 7 9 0

0 2 3 5 7 8 9

The correct leaves for stem '8' in order are 0, 2, 3, 5, 7, 8, 9.

Explanation

The correct leaves for stem '8' in order are 0, 2, 3, 5, 7, 8, 9.

15) How many data values fall in the 90s?

1

2

3

4

There are 3 values in the 90s: 91, 95, and 93.

Explanation

There are 3 values in the 90s: 91, 95, and 93.

16) What is the smallest value that would appear in this stem-and-leaf plot?

72

74

76

70

The smallest value in the data set is 70.

Explanation

The smallest value in the data set is 70.

17) What would be an appropriate key for this stem-and-leaf plot?

3 | 4 means 34

3 | 4 means 34 cm

Stem | Leaf

34 means 3 and 4

The correct key is '3 | 4 means 34 cm', which explains the plot.

Explanation

The correct key is '3 | 4 means 34 cm', which explains the plot.

18) In the completed stem-and-leaf plot, which stem would have the most leaves?

4

3

Both would be equal

C

Stem 3 has the most leaves with the data set ranging from 34 to 43.

Explanation

Stem 3 has the most leaves with the data set ranging from 34 to 43.

19) What should the stems be for the data: 105, 112, 108, 115, 110, 107, 113?

10

11

12

10

The correct stems are 10 and 11 because the data is in the 100s.

Explanation

The correct stems are 10 and 11 because the data is in the 100s.

20) What is the main advantage of using a stem-and-leaf plot instead of just listing data?

It uses less space

It’s easier to create

It organizes data while preserving individual values

It works for any type of data

The main advantage is that it organizes data while preserving individual values.

Explanation

The main advantage is that it organizes data while preserving individual values.

Creating Stem-and-Leaf Plots from Data

1) What should be used as the stems for this data set?

2) How many leaves should appear in the stem '3' row?

3) In a properly constructed stem-and-leaf plot, the leaves in each row should be arranged:

4) How many stems are needed for this data set?

5) Which leaf appears most frequently in the stem '1' row?

6) What would the complete stem '0' row look like (stem | leaves)?

7) Which stems should be used for this data set?

8) What mistake did the student make?

9) Why is it important to include a key with a stem-and-leaf plot?

10) What is the first leaf (smallest value) that should appear in the stem '2' row?

11) In the stem '1' row, how many leaves should there be?

12) What is the largest value in this data set?

13) When creating a stem-and-leaf plot, the 'stem' typically represents:

14) What would be the correct leaves for stem '8' in order?

15) How many data values fall in the 90s?

16) What is the smallest value that would appear in this stem-and-leaf plot?

17) What would be an appropriate key for this stem-and-leaf plot?

18) In the completed stem-and-leaf plot, which stem would have the most leaves?

19) What should the stems be for the data: 105, 112, 108, 115, 110, 107, 113?

20) What is the main advantage of using a stem-and-leaf plot instead of just listing data?