Advertisements
Advertisements
प्रश्न
Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?
पर्याय
Mean and mode
Mean and Median
Mode and Median
Mean, Median and Mode
Advertisements
उत्तर
Mean and mode
Explanation:
Mean is defined as follows:
Mean = `"Sum of all the observations"/"Number of observations"`
So, if we remove the extreme values that both sum and total number of observations will change. Hence, the mean will also change.
Mode is that observation which occurs the most. So, if the extreme value of those values which occurs mostly than mode can affect it they are removed.
Median is the mid-value. So, if extreme values are removed then the mid-value remains the same. Hence, the median will not change.
APPEARS IN
संबंधित प्रश्न
Following table shows the points of each player scored in four games:
| Player | Game 1 | Game 2 | Game 3 | Game 4 |
| A | 14 | 16 | 10 | 10 |
| B | 0 | 8 | 6 | 4 |
| C | 8 | 11 | Did not play | 13 |
Now answer the following questions:
- Find the mean to determine A’s average number of points scored per game.
- To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?
- B played in all the four games. How would you find the mean?
- Who is the best performer?
The mean of five numbers is 50, out of which mean of 4 numbers is 46, find the 5th number:
Mean of 100 observations is 40. The 9th observation is 30. If this is replaced by 70 keeping all other observations same, find the new mean.
The average of integers between −10 to 10 is __________
The marks of 14 students in a science test out of 50 are given below. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45, 39 Find the minimum mark obtained
_______________ is a representative value of the entire data
The mean of first fifteen even numbers is ____________
Mean of the observations can be lesser than each of the observations.
The following are weights (in kg) of 12 people. 70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60. How many people weigh above the mean weight?
Find the mean of first six multiples of 4.
