Question
If a dataset has a strongly skewed distribution , which
measure of central tendency is most appropriate to represent the data?Solution
Explanation: The median is the most robust measure of central tendency for skewed distributions because it represents the middle value when data is ordered, unaffected by extreme values. Unlike the mean, which can be disproportionately influenced by outliers, the median provides a more accurate representation of the dataset's central point in such cases. For example, in income distributions where a few individuals earn significantly more than others, the median reflects the typical earning level better than the mean. Option A: The mean is sensitive to outliers and fails to represent the central tendency accurately in skewed distributions. Option C: While the mode indicates the most frequent value, it is less informative in representing the dataset's overall central tendency. Option D: Standard deviation measures variability, not central tendency. Option E: Range only highlights the spread between maximum and minimum values, providing no insight into central tendency.
In a certain code language, 'DESIGN' is coded as 8-10-38-18-14-28 and 'FOREST' is coded as 12-30-36-10-38-40. How will 'PLAYER' be coded in the same lan...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance...
Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Select the option that represents the letters that, when placed from left to right in the blanks below, will complete the letter series.
_ T M _ ...
a) Either he is happy or he is poor.
b) He is happy.
Inference : He is poor.
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–‘ are interchanged and ‘×’ and ‘÷’ are interchanged?<...
Select the option that represents the letters that, when placed from left to right in the following blanks, will complete the letter-series.
G _ ...
If + means divide, × means -, ÷ means multiply and – means plus, then find the value of 9 + 3 ÷ 4 - 8 × 2
In a certain code language, 'YATCH' is coded as 67 and 'DINE' is coded as 40. How will 'MANGO' be coded in that language?
Statements:
1. All papers are stationery.
2. Some stationery are books.
3. No book is a pen.
Conclusions :
I. Some...