1
Question
The heights (in ft) of eight orange trees are:
39, 40, 42, 39, 62, 41, 38, 39
What is the mode of the given data before and after ignoring the outlier, respectively?
The heights (in ft) of eight orange trees are:
39, 40, 42, 39, 62, 41, 38, 39
What is the mode of the given data before and after ignoring the outlier, respectively?
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Solution
The correct option is B 39, 39
To find the mode of the given data, we first arrange the data into an ordered list of heights and its frequency of occurrence:
38, 39, 39, 39, 40, 41, 42, 62
From the above list, we can see that 62 is the outlier as it is too big compared to the other values of the data set.
Data set including outlier:
Height of trees (in ft)
38
39
40
41
42
62
Frequency of occurence
1
3
1
1
1
1
From this, we can see that 39 is the mode of the data set including the outlier.
Data set excluding the outlier:
Height of the trees (in ft)
38
39
40
41
42
Frequency of occurence
1
3
1
1
1
Thus, from this, we can see that 39 is the mode of the data set excluding the outlier.
Hence, the mode remains the same before and after including the outlier value.
To find the mode of the given data, we first arrange the data into an ordered list of heights and its frequency of occurrence:
38, 39, 39, 39, 40, 41, 42, 62
From the above list, we can see that 62 is the outlier as it is too big compared to the other values of the data set.
Data set including outlier:
| Height of trees (in ft) | 38 | 39 | 40 | 41 | 42 | 62 |
| Frequency of occurence | 1 | 3 | 1 | 1 | 1 | 1 |
From this, we can see that 39 is the mode of the data set including the outlier.
Data set excluding the outlier:
| Height of the trees (in ft) | 38 | 39 | 40 | 41 | 42 |
| Frequency of occurence | 1 | 3 | 1 | 1 | 1 |
Thus, from this, we can see that 39 is the mode of the data set excluding the outlier.
Hence, the mode remains the same before and after including the outlier value.
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