Answer:
False ;
False ;
False
Explanation:
In a perfectly symmetric distribution, the mean and Median values are the same. But for skewed distributon, the median is greater than the mean (negatively skewed or left skewed data). Hence, the assertion is false.
The sign of the correlation Coefficient does not give information about how good a line fits. The sign attached to the correlation Coefficient gives information about the slope and hence, the type of relationship between the variables.
Positive (+) sign = positive relationship between variables ; negative (-) sign = negative relationship between variables.
C.)
The value of the range is not always higher Than the value of the interquartile range. The IQR might have the same value as the value of the range.
For instance :
Given the data :
1, 1, 1, 2, 2, 3, 4, 4, 4
Range = maximum - minimum
Range = 4 - 1 = 3
Interquartile range (IQR) :
IQR = Q3 - Q1
Q3 = 3/4(n+1)th term
Q3 = 3/4(10) = 7.5th term
Q3 = (7th + 8th) / 2 = (4+4)/2 = 4
Q1 = 1/4(10) = 2.5th term
Q1 = (2nd + 3rd) / 2
Q1 = (1 + 1) /2 = 1
Q3 - Q1 = 4 - 1 = 3