Respuesta :
Answer:
3
Step-by-step explanation:
Mean refers to the average value of the set of data.
It is the central value of the set of data.
Another word for Mean is average.
Given scores:7, 9, 6, 3, 7, 8, 4, 10, 7, 9
Solution:
Sum of observations = [tex]7+ 9+ 6+ 3+ 7+ 8+ 4+ 10+ 7+ 9=70[/tex]
Number of observations = 10
Mean = Sum of observations/Number of observations = [tex]\frac{70}{10}=7[/tex]
If observation 3 is removed:
Sum of observations = [tex]7+ 9+ 6+ 7+ 8+ 4+ 10+ 7+ 9=67[/tex]
Number of observations = 9
Mean = Sum of observations/Number of observations = [tex]\frac{67}{9}=7.44[/tex]
If observation 4 is removed:
Sum of observations = [tex]7+ 9+ 6+ 3+ 7+ 8+ 10+ 7+ 9=66[/tex]
Number of observations = 9
Mean = [tex]\frac{66}{9}=7.3[/tex]
If observation 6 is removed:
Sum of observations = [tex]7+ 9+ 3+ 7+ 8+ 4+ 10+ 7+ 9=64[/tex]
Number of observations = 9
Mean = [tex]\frac{64}{9}=7.1[/tex]
If observation 7 is removed:
Sum of observations = [tex]9+ 6+ 3+ 8+ 4+ 10+ 9=49[/tex]
Number of observations = 7
Mean = [tex]\frac{49}{7}=7[/tex]
If observation 8 is removed:
Sum of observations = [tex]7+ 9+ 6+ 3+ 7+ 4+ 10+ 7+ 9=62[/tex]
Number of observations = 9
Mean = [tex]\frac{62}{9}=6.9[/tex]
If observation 9 is removed:
Sum of observations = [tex]7+ 6+ 3+ 7+ 8+ 4+ 10+ 7=52[/tex]
Number of observations = 8
Mean = [tex]\frac{52}{8}=6.5[/tex]
If observation 10 is removed:
Sum of observations = [tex]7+ 9+ 6+ 3+ 7+ 8+ 4+ 7+ 9=60[/tex]
Number of observations = 9
Mean = [tex]\frac{60}{9}=6.7[/tex]
Therefore, mean of this distribution of scores would be changed the most if a score 3 was removed from the data set.
