Question

21, 32, 44, 52, 44, 52, 46, 42, x-5, 45. For the given data set mode is is 44, then find the value of 'x'.
1. 40
2. 45
3. 49
4. 54

Answer 1

Correct Answer - Option 3 : 49

Formula used :

Mode = Value that occurs maximum times in data set 

Calculations :

According to the question 

Mode = 44 

Arranged data set = (21, 32, 42, 44, 44, 45, 46, 52, 52, x-5)

In the arranged data set we can see 44 and 52 occurred 2 times each but we know mode is 44 so it has occurred maximum times 

So, 

⇒ x - 5 = 44 

⇒ x = 49  

∴ The value of 'x' must be 49