Mathematics
Assertion (A): A survey was conducted by a group of student as a part of their environment awareness program in which they collected the following data regarding the number of plants in 10 houses in a locality.
| Number of plants | Number of houses |
|---|---|
| 2 - 4 | 2 |
| 4 - 6 | 3 |
| 6 - 8 | 1 |
| 8 - 10 | 3 |
| 10 - 12 | 1 |
The mean of the data is 6.9.
Reason (R): If the observation x1, x2, x3,………, xk has frequencies f1, f2, f3, …….., fk, then mean =
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Measures of Central Tendency
3 Likes
Answer
| Number of plants | Class mark(xi) | Number of houses(fi) | fi.xi |
|---|---|---|---|
| 2 - 4 | 3 | 2 | 6 |
| 4 - 6 | 5 | 3 | 15 |
| 6 - 8 | 7 | 1 | 7 |
| 8 - 10 | 9 | 3 | 27 |
| 10 - 12 | 11 | 1 | 11 |
| Total | Σfi = 10 | Σfixi = 66 |
Mean =
∴ Reason (R) is true.
Mean = = 6.6
∴ Assertion (A) is false.
∴ Assertion (A) is false, but Reason (R) is true.
Hence, option 2 is the correct option.
Answered By
1 Like
Related Questions
The median of the following observations arranged in ascending order is 64. Find the value of x :
27, 31, 46, 52, x, x + 4, 71, 79, 85, 90
60
61
62
66
Assertion (A): Mean of the prime number lying between 5 and 20 is 13.4.
Reason (R): Mean =
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Assertion (A): The number of goals scored by a football team in a series of matches are 3, 1, 0, 7, 5, 3, 3, 4, 1, 2, 0, 2
The median of the data is 2.5.
Reason (R): Median of an ungrouped data is the variate which has maximum frequency.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
For the given 25 variables : x1, x2, x3,………, x25.
Assertion (A): To find median of the given data, the variate need to be arranged in ascending or descending order.
Reason (R): The median is the central most term of the arranged data.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).