Question

50 home run club there were 43 major league baseball players (as of a recent year) who have hit 50 or more home runs in one season. shown are the number of home runs each player: 50 51 52 54 59 51 53 54 50 58 51 54 53 56 58 56 70 54 52 58 54 64 52 73 57 50 60 56 50 66 54 52 51 58 63 57 52 51 50 61 52 65 50 send data to excel construct a stem and leaf plot and analyze the data. use two stems for each first digit: one will have leaves 0–4 and the second 5–9. do not separate the answers with commas. if there are no leaves, enter none.

Explanation:

Step1: Identify stems and group leaves (0 - 4)

Stem 5 (leaves 0 - 4): We look for data points where the tens digit is 5 and the units digit is 0 - 4. The values are 50, 51, 52, 54, 51, 53, 54, 50, 51, 54, 53, 54, 52, 54, 50, 52, 51, 52, 51, 50, 52, 50. Extracting the units digits: 0,1,2,4,1,3,4,0,1,4,3,4,2,4,0,2,1,2,1,0,2,0. Sort them: 0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4.

Step2: Identify stems and group leaves (5 - 9)

Stem 5 (leaves 5 - 9): Data points with tens digit 5 and units digit 5 - 9. Values: 59, 58, 58, 56, 56, 58, 57, 56, 58, 57. Units digits: 9,8,8,6,6,8,7,6,8,7. Sort them: 6,6,6,7,7,8,8,8,8,9.

Step3: Stem 6 (leaves 0 - 4)

Stem 6 (leaves 0 - 4): Data points with tens digit 6 and units digit 0 - 4. Values: 60, 63, 61. Units digits: 0,3,1. Sort them: 0,1,3.

Step4: Stem 6 (leaves 5 - 9)

Stem 6 (leaves 5 - 9): Data points with tens digit 6 and units digit 5 - 9. Values: 64, 66, 65. Units digits: 4? Wait no, 64: units 4 (but 0 - 4 is separate), wait no, 64: tens 6, units 4 (so in 0 - 4), 66 (units 6), 65 (units 5). Wait correction: stem 6, leaves 0 - 4: 60 (0), 61 (1), 63 (3), 64 (4) → units 0,1,3,4. Stem 6, leaves 5 - 9: 65 (5), 66 (6) → units 5,6. Wait original data: 64, 60, 66, 63, 61, 65. So stem 6, leaves 0 - 4: 60 (0), 61 (1), 63 (3), 64 (4) → sorted 0,1,3,4. Stem 6, leaves 5 - 9: 65 (5), 66 (6) → sorted 5,6.

Step5: Stem 7 (leaves 0 - 4)

Stem 7 (leaves 0 - 4): Data points with tens digit 7 and units digit 0 - 4. Value: 70 (0), 73 (3). Units digits: 0,3. Sort: 0,3.

Step6: Stem 7 (leaves 5 - 9)

Stem 7 (leaves 5 - 9): Data points with tens digit 7 and units digit 5 - 9. No values, so "None".

Now, constructing the stem - leaf plot as per the two - stem per first digit (leaves 0 - 4 and 5 - 9):

• Stem 5, leaves 0 - 4: 0000011111222223344444 (wait, let's count the sorted units digits for stem 5 (0 - 4): 0 (5 times: 50 appears 5 times? Wait original data for stem 5 (tens digit 5) with units 0 - 4: let's list all numbers with tens digit 5 and units 0 - 4:

50, 51, 52, 54, 51, 53, 54, 50, 51, 54, 53, 54, 52, 54, 50, 52, 51, 52, 51, 50, 52, 50. Let's count the units digits:

0: 50 appears 5 times (50,50,50,50,50) → 5 zeros.

1: 51 appears 5 times (51,51,51,51,51) → 5 ones.

2: 52 appears 5 times (52,52,52,52,52) → 5 twos.

3: 53 appears 2 times (53,53) → 2 threes.

4: 54 appears 5 times (54,54,54,54,54) → 5 fours.

So sorted units digits: 0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4.

• Stem 5, leaves 5 - 9: units digits from numbers with tens digit 5 and units 5 - 9: 59 (9), 58 (8), 58 (8), 56 (6), 56 (6), 58 (8), 57 (7), 56 (6), 58 (8), 57 (7). So units digits: 6,6,6,7,7,8,8,8,8,9 (sorted).

• Stem 6, leaves 0 - 4: numbers with tens digit 6 and units 0 - 4: 60 (0), 61 (1), 63 (3), 64 (4). Units digits: 0,1,3,4 (sorted).

• Stem 6, leaves 5 - 9: numbers with tens digit 6 and units 5 - 9: 65 (5), 66 (6). Units digits: 5,6 (sorted).

• Stem 7, leaves 0 - 4: numbers with tens digit 7 and units 0 - 4: 70 (0), 73 (3). Units digits: 0,3 (sorted).

• Stem 7, leaves 5 - 9: None.

Answer:

For stem 5 (leaves 0 - 4): 0000011111222223344444
For stem 5 (leaves 5 - 9): 6667788889
For stem 6 (leaves 0 - 4): 0134
For stem 6 (leaves 5 - 9): 56
For stem 7 (leaves 0 - 4): 03
For stem 7 (leaves 5 - 9): None

(Note: The stem - leaf plot is structured as:
5 | 0000011111222223344444 (leaves 0 - 4)
5 | 6667788889 (leaves 5 - 9)
6 | 0134 (leaves 0 - 4)
6 | 56 (leaves 5 - 9)
7 | 03 (leaves 0 - 4)
7 | None (leaves 5 - 9))