Question

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Answer 1

Answer:

answer

Step-by-step explanation:

The given observations in ascending order are

42,43,44,44,(2x+3),45,45,46,47

Here, number of observations is 9 which is odd. So there will be one median class i.e. (

2

n+1

) th term

Median = Value of (

2

n+1

) th term

(

2

9+1

) th term = 5 th term

⇒ Median =2x+3

But Median =45 (given)

45=2x+3

⇒2x=42

⇒x=21

The observations are 42,43,44,44,45,45,46,47.

The number 4 occurs most frequently i.e. 3 times.

Hence, Mode of the above data is 45.

Hence, x=21 and Mode =45.