True or false: a set of data can have no mode?

ANSWER

True

EXPLANATION

The mode of a data set refers to the most occurring number.

In other words, the mode is the number with the highest frequency.

So if a given data set has none of the numbers occurring most, then the data set has no mode.

The following data set has no mode.

{2,3,47,14,7}

Hence it is true that, a set of data can have no mode.

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)