Question

57771298
How would the mode change if the number 5 were added to the set?

Answer 1

The mode of this list of numbers would still be
`7` (the mode did not change) after "
`5`" was added to the list.

Explanation:

The mode of a list of elements is the member that appears the most frequently.

The original list of numbers in this question
`[5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8]` included the following members:

`\begin{array}c \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 1\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}`.

The member "
`7`" appeared more often than any other member of this list. Thus, the mode of the original list was "
`7\!`".

Adding "
`5`" to the original list would give the list
`[5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8,\, 5]`. Members of this list are:

`\begin{array}c \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 2\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}`.

The member "
`7`" still appeared more often than any other member of this list. Thus, the mode of the new list would also be "
`7\!`".