Question

if the mode of the following data is 14 find the value of x 10 12 14 15 15 14 52 14 15 x 16 14 16

Answer 1

The value of x is 14 because we know that mode is the highest frequency, so if we get 14 as value of x then we can say 14 became 5 times.

Hope it will help you buddy.

Answer 2

The value of x can be either 10 or 12 or 14 or 16 or 52.

• Given mode of data is 14.

• Tabulating the given data, we get

           x :  10   12   14   15   16  52

           f :    1     1      4    3    2     1

• We know that mode of an ungrouped data is the observation with highest frequency.
• If value of x is taken as 15, it's frequency becomes 4(equal to that of 14).
• But value of mode is given as 14, so value of x cannot be 15.
• Therefore, value of x can be either 10 or 12 or 14 or 16 or 52(as they don't affect value of mode) but not 15.