Answer:
The possible values of c = 6, 7 and 8.
Step-by-step explanation:
We can find the possible values of c by creating the inequalities system using the given conditions:
Condition #1: "median is 3":
- Number of students that are less than 3 = 8 + 7 = 15
- Number of students that are more than 3 = 9 + 1 = 10
Since 15 > 10, then the total number of students has to be more than (2×15)
[tex]8+7+c+9+1 > 2\times15[/tex]
[tex]c+25 > 30[/tex]
[tex]\bf c > 5[/tex]
Condition #2: "mode is 4":
That means: [tex]\bf c < 9[/tex]
By combining condition #1 & #2, we can conclude that:
[tex]\bf 5 < c < 9[/tex], so the possible answer is = [tex]\bf\{6, 7,8\}[/tex]
