Find the mode of the following data:

i) 74, 81, 62, 58, 77, 74.

ii) 55, 51, 62, 71, 50, 32.

iii) 43, 36, 27, 25, 36, 66, 20, 25.

vi) 24, 20, 27, 32, 20, 28, 20.

i) GIVEN: the values are 74, 81, 62, 58, 77, 74

Mode = the value having maximum no of terms

⇒ As we can see

In the above values

Only value 74 is repeated twice

And all other are having only one term in data

∴ 74 is mode of data

CONCLUSION: The Mode of the data is 74.

ii) GIVEN: the values are 55, 51, 62, 71, 50, 32

Mode = the value having maximum no of terms

⇒ As we can see

In the above values

None of the value is repeated

And all values are having only one term in data

∴ There is NO mode of data

CONCLUSION: There is NO mode of data.

iii) GIVEN: the values are 43, 36, 27, 25, 36, 66, 20, 25

Mode = the value having maximum no of terms

⇒ As we can see

In the above values

25 and 36 are the values which are repeated twice in data

And all other values are having only one term in data

∴ 25 and 36 are mode of above data

CONCLUSION: Mode of data are 25 and 36

iv) GIVEN: the values are 24, 20, 27, 32, 20, 28, 20

Mode = the value having maximum no of terms

⇒ As we can see

In the above values

20 is the values which is repeated thrice in data

And all other values are having only one term in data

∴ 20 is mode of above data

CONCLUSION: Mode of data is 20