Question

The mean of 1,3,4,5,7,4 is m. The numbers 3,2,2,4,3,3,p have mean m-1 and median q. Then p+q=??? A)4, B)5, C)6, D)7 Please ans the ques fast and explain the ans i need it as soon as possible......

Answer 1

Hey,

Data set: 1, 7, 5, 3, 4, 4

mean is m: (1 + 7 + 5 + 3 + 4 + 4) ÷ 6 = 24 / 6 = 4

3,2,4,2,3,3, and p

m - 1 = (3 + 2 + 4 + 2 + 3 + 3 + p) / 7
4 - 1 = (17 + p)/7
3 * 7 = 17 + p
21 - 17 = p
4 = p

2, 2, 3, 3, 3, 4, 4 ⇒ median q is 3.

m = 4 ; p = 4 ; q = 3.

p+q=4+3=7

(D)7... ANSWER.

HOPE IT HELPS YOU:-))

Answer 2

Given:

A set of numbers 1, 3, 4, 5, 7, and 4 is (m). Another set of numbers 3, 2, 2, 4, 3, 3, and p have the mean m -1 and median q.

To Find:

The value of p + q is?

Solution:

1. The set of numbers 1, 3, 4, 5, 7, and 4 have the mean m.

2. Let X1, X2, X3, .., Xn be a set containing n numbers. The mean of the given set of numbers is calculated using the formula,

=> Mean = ( X1 + X2 + .. + Xn )/n.

3. The mean of the set of numbers 1, 3, 4, 5, 7, and 4 is,

=> Mean = m = ( 1 + 3 + 4 + 5 + 7 + 4 )/6,

=> Mean = m = 24/6,

=> Mean = m = 4.

∴ The value of m is 4.

4. The mean of the set of numbers 3, 2, 2, 4, 3, 3, and p is m - 1,

=> The mean of the set of numbers 3, 2, 2, 4, 3, 3, and p is 3,

=> Mean = 3 = ( 3 + 2 + 2 + 4 + 3 + 3 + p )/7,

=> 3 x 7 = 17 + p,

=> 21 = 17 + p,

=> 21 - 17 = p,

=> p = 4.

∴ The value of p is 4.

5. The median is defined as the middlemost value of a set of numbers after arranging them either in ascending order (or) descending order.

=> For an odd number of terms, the median is the middlemost value after rearranging in ascending or descending order.

=> For an even number of terms, the median is the average of the two middlemost values after rearranging in ascending or descending order.

=> The median of the set of numbers 3, 2, 2, 4, 3, 3, and p is q.

=> The median of the set of numbers 3, 2, 2, 4, 3, 3, and 4 is q.

=> Arrange the numbers in ascending order,

=> 2, 2, 3, 3, 3, 4, and 4. ( Number of terms = 7 )

=> The number of terms is odd, Hence the median is the middlemost value.

=> Middlemost value = Median = q = 3.

6. The value of p and q are 4 and 3 respectively.

=> The value of p + q is 7.

Therefore, the value of p + q is 7. Option D is the correct answer.