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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?
विकल्प
Mean and mode
Mean and Median
Mode and Median
Mean, Median and Mode
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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.
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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 is one of the numbers in a data.
The mean of 35 observations is 20, out of which mean of first 18 observations is 15 and mean of last 18 observation is 25. Find the 18th observation.
If `barx` is the mean of x1, x2 ............xn and `bary` is the mean of y1, y2, …….yn and `barz` is the mean of x1, x2 ............xn, y1, y2, ……….yn then `barz` =?
In a research laboratory scientists treated 6 mice with lung cancer using natural medicine. Ten days later, they measured the volume of the tumor in each mouse and given the results in the table
| Mouse marking | 1 | 2 | 3 | 4 | 5 | 6 |
| Tumor Volume (mm3) | 145 | 148 | 142 | 141 | 139 | 140 |
Find the mean
The average of integers between −10 to 10 is __________
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Find the mean and mode of 6, 11, 13, 12, 4, 2
The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers?
