Respuesta :
Answer:
(c) Skewed to the left
Step-by-step explanation:
To describe the distribution of the data determine the mean, median and mode.
The provided data arranged in ascending order is:
{69, 92, 97, 98, 100, 104, 111, 114, 121, 135, 135, 136, 138, 189}
- Mean:
[tex]Mean=\frac{Sum\ of\ observations}{Number\ of\ observations}\\ =\frac{69+92+97+ 98+ 100+ 104+ 111+ 114+ 121+ 135+ 135+ 136+ 138+ 189}{14} \\=117.07[/tex]
- Median: As the number of observations is even the median of the data will be the mean of the middle two values, when the data is arranged in ascending order.
[tex]Median=Mean (7^{th}, 8^{th}\ observation)\\=\frac{7^{th}\ obs.+8^{th}\ obs.}{2}\\ =\frac{111+114}{2}\\ =112.5[/tex]
- Mode of the data is the value with the highest frequency.
The value 135 has the highest frequency of 2.
[tex]Mode=135[/tex]
So Mean < Mode and Median < Mode.
For a distribution that is skewed to the left the mean and median is less than the mode of the data.
Thus, the data is left-skewed.
