Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?
(a) Mean and mode
(b) Mean and Median
(c) Mode and Median
(d) Mean, Median and Mode
Solution:
We have to determine which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed.
Mean, median and mode are the representative values of a group of observations. They are also called the measures of central tendency of the data.
Mean = Sum of all observations/Number of observations
If the extreme values are removed, the sum of observations will change.
Therefore, the mean will get affected.
When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.
If the extreme values are removed, the mid value will remain the same.
Therefore, the median will not get affected.
Mode is the observation that occurs most frequently in the data.
If the extreme values are removed, the frequently occurring data may be removed.
Therefore, the mode will get affected.
✦ Try This: The cards bearing letters of the word “TRANSVERSAL” are placed in a bag. A card is taken out from the bag without looking into the bag (at random). What is the probability of getting any consonant
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 3
NCERT Exemplar Class 7 Maths Chapter 3 Problem 3
Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed? (a) Mean and mode (b) Mean and Median (c) Mode and Median (d) Mean, Median and Mode
Summary:
Mean and mode are the measures of central tendency that get affected if the extreme observations on both the ends of a data arranged in descending order are removed
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