Answer:
Mean = 31
Median = 34
Mode = 37
Step-by-step explanation:
The stem-and-leaf plots translates to the numbers:
16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46 (in ascending order)
1. Mean:
To get mean, we add up all the numbers and divide by the number of numbers (in this case we have 11 numbers).
Mean = [tex]\frac{16+18+23+25+26+34+37+37+40+41+46}{11}=\frac{343}{11}=31.18[/tex]
Rounded to the nearest whole number, we have:
Mean = 31
2. Median:
The median is the "middle" number. Median is given as the:
Median = [tex]\frac{n+1}{2}[/tex] th number, where [tex]n[/tex] is the total number of numbers [in our case [tex]n=11[/tex]]. So we have:
Median = [tex]\frac{11+1}{2}=\frac{12}{2}=6[/tex]th number. So,
Median = 34
3. Mode:
Mode is the number that occurs the most.
- If there are more than 1 number that occurs the most and same numbers of time, the mode is all of them.
- If there is no number that occurs more times than others, there is no mode.
Looking at the list we see that 37 occurs 2 times and no other number does, so 37 is the mode.
Mode = 37
