Answer:
1: 22
2: 4.9 and 6
Step-by-step explanation:
Question 1:
Step 1: Remove the outlier (the outlier is a data point that's significantly different from the other data points.)
- [tex]21, 23, 19, 25, 83, 23, 21[/tex]
- [tex]21, 23, 19, 25, 23, 21[/tex]
Step 2: Find the mean (add all the data points together and then divide them by the number of data points there is.)
- [tex]\frac{21+23+19+25+23+21}{6}[/tex]
- [tex]\frac{132}{6}[/tex]
- [tex]22[/tex]
Therefore, the answer to question #1 is 22.
Question 2:
1. (Calculate the mean)
- [tex]\frac{4+6+7+9+10+4+6+5+4}{9}[/tex]
- [tex]\frac{55}{9}[/tex]
- [tex]6.111...[/tex] ≈ [tex]\frac{55}{9}[/tex]
2. Find the values less than [tex]\frac{55}{9}[/tex].
- 8.1 > 55/9 (not less than)
- 4.9 < 55/9 (less than)
- 6 < 55/9 (less than)
- 6.2 > 55/9 (not less than)
- 7 > 55/9 (not less than)
Therefore, the answer to question #2 is 4.9 and 6.
