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)
<u>1. Mean:</u>
To get mean, we add up all the numbers and divide by the number of numbers (in this case we have 11 numbers).
Mean = ![\frac{16+18+23+25+26+34+37+37+40+41+46}{11}=\frac{343}{11}=31.18](https://tex.z-dn.net/?f=%5Cfrac%7B16%2B18%2B23%2B25%2B26%2B34%2B37%2B37%2B40%2B41%2B46%7D%7B11%7D%3D%5Cfrac%7B343%7D%7B11%7D%3D31.18)
Rounded to the nearest whole number, we have:
Mean = 31
<u>2. Median:</u>
The median is the "middle" number. Median is given as the:
Median =
th number, where
is the total number of numbers [in our case
]. So we have:
Median =
th number. So,
Median = 34
<u>3. Mode:</u>
Mode is the number that occurs the most.
- <u>If there are more than 1 number that occurs the most and same numbers of time, the mode is all of them</u>.
- <u>If there is no number that occurs more times than others, there is no mode.</u>
Looking at the list we see that 37 occurs 2 times and no other number does, so 37 is the mode.
Mode = 37