The measure that best describes the data is the median and the measure that might mislead the data is the mode
How to determine the mean, median and mode?
The mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{20* 2 + 50 * 3 + 60 * 6 + 70 * 3 + 80 * 4 + 90 * 4 + 100 * 2 + 130 * 1}{25}[/tex]
This gives
[tex]\bar x = \frac{1770}{25}[/tex]
[tex]\bar x = 70.8[/tex]
So, the mean is 70.8
The median is the middle number, and the position is calculated using
Median = (n + 1)/2 th
This gives
Median = (25 + 1)/2 th
Median = 13th
The 13th element is 70
So, the median is 70
The mode is the data element with the highest frequency.
So, the mode is 60
The measure that best describes the data
The line plot has outliers at 20 and 130.
This is so because 20 and 130 are far from other data values
When a dataset has an outlier, the best measure is the median
Hence, the measure that best describes the data is the median.
The measure that might mislead the data
The measure that might mislead the data is the mode
This is so the highest occurring value does not necessarily represent the dataset
Read more about mean, median and mode at:
https://brainly.com/question/14532771
#SPJ1
