The numbers 52,53, 54, 54, (2x+1), 55, 55, 56,57 are arranged in ascending order and their median is 55. Find the mode of the given data.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

54.5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
55

There are 9 observations and they are arranged in ascending order. The 5th term is the median.

$2 x + 1 = 55 \Rightarrow x = 27$

Hence, the numbers are 52,53, 54, 54, 55, 55, 55, 56,57

Hence, mode is 55 as it occurs 3 times

Suggest Corrections

Similar questions

The numbers 52,53, 54, 54, (2x+1), 55, 55, 56,57 have been arranged in an ascending order and their median is 55. Find the value of x and hence find the mode of the given data.

Q. The following data has been arranged in ascending order. If their median is

63

, find the value of

x

34, 37, 53, 55, x, x + 2, 77, 83, 89

and

100

There are 10 observations arranged in ascending order as given below.

45, 47 ,50 ,52, x, x+2, 60,62,63,74. The median of these observations is 53.

Find the value of x. Also find the mean and the mode of the data.

Q. The marks of

10

students of a class in an examination arranged in ascending order is as follow.

13, 35, 47, 46, x, x + 4, 55, 61, 71, 80

.
If the median marks is

48

, find the value of

x

. Hence find the mode of the given data.

Q. While determining median of a data set from stem and leaf plot, the numbers in the leaf column are arranged in ascending order by -

Join BYJU'S Learning Program

The numbers 52,53, 54, 54, (2x+1), 55, 55, 56,57 are arranged in ascending order and their median is 55. Find the mode of the given data.

The correct option is B 55 There are 9 observations and they are arranged in ascending order. The 5th term is the median. 2x+1=55⇒x=27 Hence, the numbers are 52,53, 54, 54, 55, 55, 55, 56,57 Hence, mode is 55 as it occurs 3 times

The correct option is B
55

There are 9 observations and they are arranged in ascending order. The 5th term is the median.

$2 x + 1 = 55 \Rightarrow x = 27$

Hence, the numbers are 52,53, 54, 54, 55, 55, 55, 56,57

Hence, mode is 55 as it occurs 3 times