Question

Use the stem-and-leaf plot below to find the mean, median, and mode of the data set. Round to the nearest whole

number
Stem Leaf
5 2, 2, 2.
8. 1,5,9
9. 3,4,6
1. 2,7

Answer 1

The mean is 65.72 , median is 81 and mode is 52

Explanation:

Stem Leaf

5 2, 2, 2.

8. 1,5,9

9. 3,4,6

1. 2,7

Number : 52,52,52,81,85,89,93,94,96,12,17

Arrange in ascending order :

12,17,52,52,52,81,85,89,93,94,96

`Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean =(12+17+52+52+52+81+85+89+93+94+96)/(11)`

Mean =65.72

`Median = (n+1)/(2) \text{th term}=(11+1)/(2)=6 \text{th term} = 81`

Mode = most occurring number = 52

Hence The mean is 65.72 , median is 81 and mode is 52