Stem and leaf plot

Question

Use the following stem and leaf plot, representing the starting salary (in thousands of dollars) of ten friends after college graduation, to complete the problems. 

 

1. 7 8

2. 0 1 4 4

3. 0 2 4

4. 0

Key 1| 7 = 17

 

List the values from stem and leaf plot in numerical order 

 

what is the mode of this distribution?

 

what is the mean of this distribution 

 

explain in how you would find the median. What is the median for this set?

 

explain how you would find the lower quartile. What is the lower quartile for this set?

 

explain how you would find the upper quartile. What is the upper quartile for this set?

 

draw a box and whisker plot for this distribution 

10         20           30        40

 |    |      |      |      |     |    | 

(It goes on to 50)

 

draw a histogram of the data using the grid below

 

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5-

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4-

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3-

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2-

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1-

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|____|_____|_____|____|

          15-19

 

Answer 1

List the values from stem and leaf plot in numerical order  17, 18, 20, 21, 24, 24, 30, 32, 34, 40

what is the mode of this distribution? the most frequently occurrng value is 24 (mode)

what is the mean of this distribution? 26, i.e. the average, or total scores ÷ 11, the number of scores.

explain in how you would find the median. What is the median for this set? The median is the one in the middle, in this case the 6th datum, which is 24.