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
उत्तर
Mean and mode
Explanation:
Mean is defined as follows:
Mean = `"Sum of all the observations"/"Number of observations"`
So, if we remove the extrema values 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
The enrolment in a school during six consecutive years was as follows:
1555, 1670, 1750, 2013, 2540, 2820
Find the mean enrolment of the school for this period.
The calculated mean of 50 observations was 80. It was later discovered that observation 19 was recorded by mistake as 91. What was the correct mean?
The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions.
| Electricity used (units) `bb(x_i)` |
No. of Families (frequency) `bb(f_i)` |
`bb(f_ix_i)` |
| 30 | 7 | _________ |
| 45 | 2 | __________ |
| 60 | 8 | __________ |
| 75 | 5 | __________ |
| 90 | 3 | __________ |
| N = _________ | `sum f_ix_i` = ______ |
- How many families use 45 units electricity?
- State the score, the frequency of which is 5.
- Find N, and `sum f_ix_i`
- Find the mean of electricity used by each family in the month of May.
Find the mean of first six multiples of 3.
A batsman scored the following number of runs in six innings: 36, 35, 50, 46, 60, 55. Calculate the mean runs scored by him in an inning.
The mean weight of 4 members of a family is 60 kg. Three of them have the weight 56 kg, 68 kg and 72 kg respectively. Find the weight of the fourth member
Ages of 15 students in 8th standard is 13, 12, 13, 14, 12, 13, 13, 14, 12, 13, 13, 14, 13, 12, 14. Find the mean age of the students
Mean of the data is always from the given data.
Mean can never be a fraction.
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?
