Is there any change in mode, if one or two or more observations, equal to mode are included in the data?

A data having two modes is

Arithmetic mean of 7 observations was found to be 32. If one more observation 48 was to be added to the data what would be the new mean of the data?

Two triangles are congruent, if two. Angles and the included side of one triangle are equal to two angles and the included side of the other triangle.

The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data, is

Does the mode change , if another observation is added to the data in Example ? Comment .

Is the mode always at the centre of the data ?

If the median and mode of 4 observations are 4,6 and the sum of square of the observation is 48, then standard deviations is

Find the mode of the following data

Find the mode of the following data