find the mean, median, mode of the data

Question

following the stem - and leaf- leaf plot. The leaf represents the ones digit. round to one decimal if necessary

 

0           6

1          45

2         2338

3          4

 

mean?

median?

mode ?

* how do you locate these?

Answer 1

So the data are 6 14 15 22 23 23 28 34 Mode is 23 Median 22.5 Mean 165 / 8 = 20.625

Answer 2

The mean is the average of the data:

(6+45+2338+4)/4 = 2392/4 = 598.2

 

The median is the midpoint of the values arranged in order smallest to largest:

4,6,45,2338

since the number of data is positive the median is the average of 6 and 45:

or (6+45)/2 = 25.5

 

mode is the value that occurs the most:

since all values occur once the mode is all values

4,6,45,2338

Answer 3

The mean is the sum of terms divided by the number of terms.  Based on your stem & leaf plot, you have 8 terms.  Add the 8 terms and divide the result by 8.

 

To find the median, we set the terms in order from least to greatest. 

 

6, 14 , 15, 22, 23, 23, 28 , 34

 

So the two middle terms are 22 and 23.  The number directly between 22 and 23 is 22.5

 

 

The mode is the terms that occurs the most.  By looking at the plot, stem that has repeating digits in its leaf is 2.  Therefore, the mode is 23.