Question

Use the stem-and-leaf plot below to match each term with the correct value. (Round to the nearest whole number.)

Mean =

Median =

Mode =

Answer 1

Mean - 343/11=31
Median - 34
Mode - 37

Answer 2

Mean = 31

Median = 34

Mode = 37

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 =
`(16+18+23+25+26+34+37+37+40+41+46)/(11)=(343)/(11)=31.18`

Rounded to the nearest whole number, we have:

Mean = 31

2. Median:

The median is the "middle" number. Median is given as the:

Median =
`(n+1)/(2)` th number, where
`n` is the total number of numbers [in our case
`n=11`]. So we have:

Median =
`(11+1)/(2)=(12)/(2)=6`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