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The numbers of home runs that Sammy Sosa hit in the first 15 years of his major league baseball career are listed below. Make a stem-and-leaf plot for this data. What can you conclude about the data?
4 15 10 8 33 25 36 40 36 66 63 50 64 49 40

Respuesta :

Answer:

Stem     Leaf

______________

0        |  4  8

1         |  0  5

2        |  5

3        |  3  6  6

4        |  0  0  9

5        |  0  

6        |  3  4  6

______________

Notation : 0|4 means 04 or 4 , 4|9 means 49/

For this case we can conclude that the distribution is approximately symmetrical.

For the 5 number summary we have

Minimum = 4 , Q1= 20 , Median =36, Q3= 49.5 , Maximum = 66

The mean for this case is Mean= 35.93

And as we can see since the mean is similar to the the median

The mode is 40 and 36 (bimodal distribution) with frequency of 2

Step-by-step explanation:

Data given:

4 15 10 8 33 25 36 40 36 66 63 50 64 49 40

For this case the first step is order the dataset on increasing way and we got:

4  8 10 15 25 33 36 36 40 40 49 50 63 64 66

Now we can construct the stem leaf plot like this:

Stem     Leaf

______________

0        |  4  8

1         |  0  5

2        |  5

3        |  3  6  6

4        |  0  0  9

5        |  0  

6        |  3  4  6

______________

Notation : 0|4 means 04 or 4 , 4|9 means 49/

For this case we can conclude that the distribution is approximately symmetrical.

For the 5 number summary we have

Minimum = 4 , Q1= 20 , Median =36, Q3= 49.5 , Maximum = 66

The mean for this case is Mean= 35.93

And as we can see since the mean is similar to the the median

The mode is 40 and 36 (bimodal distribution) with frequency of 2

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