Question

$\large\red{\frak{Question}}$
The mean of 1,3,4,5,7and 10 is m. The observation 3,2,4,2,3,3 and p have mean (m-2) and median q. Find q​

Answer 1

Step-by-step explanation:

The mean of the number 1, 3, 5, 4 is m

The mean of the number 3, 2, 2, 4, 3, 3, p is m -1 

Formula used:

Mean = Sum of all the numbers/Total numbers

Median of odd number = ((n + 1)/2)th term

Concept used:

For finding the term in the median first, arrange the given terms in the ascending order

Calculation:

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

⇒ 24/6 = m

⇒ m = 4      ----(1)

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

⇒ (17 + p)/7 = m - 1

⇒ 17 + p = 3 × 7      ----(From eq (1))

⇒ p = 4

Arranging the given data in the ascending order then,

2, 2, 3, 3, 3, 4, 4 

Here, number of terms, (n) = 7

Median = {(7 + 1)/2}th term = 4th term

4th term in the above data is 3 

Medain = 3 = q

Now, p + q = 4 + 3 = 7

Answer 2

Answer:

The mean of the number 1, 3, 5, 4 is m

The mean of the number 3, 2, 2, 4, 3, 3, p is m -1

Formula used:

Mean = Sum of all the numbers/Total numbers

Median of odd number = ((n + 1)/2)th term

Concept used:

For finding the term in the median first, arrange the given terms in the ascending order

Calculation:

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

⇒ 24/6 = m

⇒ m = 4 ----(1)

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

⇒ (17 + p)/7 = m - 1

⇒ 17 + p = 3 × 7 ----(From eq (1))

⇒ p = 4

Arranging the given data in the ascending order then,

2, 2, 3, 3, 3, 4, 4

Here, number of terms, (n) = 7

Median = {(7 + 1)/2}th term = 4th term

4th term in the above data is 3

Medain = 3 = q

Now, p + q = 4 + 3 = 7