Question

10. [AS1] If x1, x2 and x3 are three consecutive numbers and their median is 29,
then the value of x2 is _
(A) 29
(C)93
(B) 87
(D) None of these​

Answer 1

Answer:

The required value of x${}_2$ is 29.

Step-by-step explanation:

The word usually defines the middle term of given observations.

Here,

given observations are x${}_1$ , x${}_2$ and x${}_3$.

If these terms are arranged in ascending or descending order, middle term will be x${}_2$ in both the case.

Given that the terms are consecutive numbers, it means that are either arranged in ascending or descending order, so x${}_2$ is the median of the given observations, also given that the value of median is 29, which means that the value of x${}_2$ is 29.

Method 2

Given that the terms are consecutive numbers, it means that are either arranged in ascending or descending order.

And from the properties of statics :

• Median = ( n + 1 ) / 2 th term, where n describes the total number of terms and they are in odd number.

In this question, number of terms are 3.

So,

= > Median = ( 3 + 1 ) / 2 nd term

= > 29 = ( 4 / 2 )nd term

= > 29 = 2nd term

= > 29 = x${}_{2}$ { Here, 2nd term is x${}_{2}$ }

Hence the required value of x${}_2$ is 29.

Answer 2

Answer:

29

Step-by-step explanation:

Here,

Given observations = x¹ , x² and x³

The median of the given data is the middle observation when the data is arranged in an ascending or descending order.

As there are 3 terms in the given data, therefore, the median of this data will be the 2nd observation.

Hence, median x².

So, x² is the median of the given observations, also given that the value of median is 29, which means that the value of x² is 29.