Respuesta :
Answer:
see explanation
Step-by-step explanation:
The minimum = 40 ( lowest value )
The maximum = 97 ( largest value )
The median is the middle value of the data, in ascending order
Since there are 11 data values, the median is the sixth value
median = 61
The first quartile is the middle value of the data below the median, the third value
first quartile = 43
The third quartile is the middle value of the data above the median, the sixth value
third quartile = 65
The five-number summary of the data presented on the stem-and-leaf plot are:
- The minimum data value is: 40
- The first quartile is: 43
- The median data value is: 61
- The third quartile is: 65
- The maximum data value is: 97
The data is presented in a stem and leaf plot.
To determine the five-number summary, first, we need to list out all the data point for the weight of each dog.
For the first row: 4 | 0 1 3
- The weights are: 40, 41, 43
For the second row: 5 | 0 8
- The weights are: 50, 58
For the third row: 6 | 1 2 3 5
- The weights are: 61, 62, 63, 65
For the fourth row: 7 | 8
- The weight is: 78
For the last row: 9 | 7
- The weight is: 97
Thus, all the data for the weights are:
- 40, 41, 43, 50, 58, 61, 62, 63, 65, 78, 97
We can now determine the five-number summary as follows:
The minimum data value is: 40
- (40,) 41, 43, 50, 58, 61, 62, 63, 65, 78, 97
The first quartile is: 43
- 40, 41, (43,) 50, 58, 61, 62, 63, 65, 78, 97
The median data value is: 61
- 40, 41, 43, 50, 58, (61,) 62, 63, 65, 78, 97
The third quartile is: 65
- 40, 41, 43, 50, 58, 61, 62, 63, (65,) 78, 97
The maximum data value is: 97
- 40, 41, 43, 50, 58, 61, 62, 63, 65, 78, (97)
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