FINDING QUARTILES FROM STEM AND LEAF WORKSHEET

Problem 1 :

quartiles-from-stem-and-leafq1.png

For set of values, find

a) Minimum value           b) Maximum value

c)  the median      d)  the lower quartile

e)  the upper quartile    f)  the range

g)  the interquartile range

Solution

Problem 2 :

The weight in kilograms of a particular brand of bags of fire wood is stated to be 20 kg, however some bags weight more than this and some weigh less. A sample of bags is carefully weighed and their weights are given in the ordered stem and leaf shown. 

quartiles-from-stem-and-leafq2.png

a) Locate the median, upper and lower quartiles and maximum and minimum weights for the sample.

b) Find interquartile range and range.

Solution

Problem 3 :

quartiles-from-stem-and-leafq3.png

For set of values, find

a) Minimum value           b) Maximum value

c)  the median      d)  the lower quartile

e)  the upper quartile    f)  the range

g)  the interquartile range

Solution

Problem 4 :

The heights of 20 ten year olds are recorded in the following stem and leaf plot.

a) Find 

i) Median height

ii)  Upper and lower quartiles of the data.

quartiles-from-stem-and-leafq4.png

Solution

Answer Key

1)  a) Minimum value  = 20

b) Maximum value = 58

c)  Median = 40

d)  the lower quartile Q1 = 30

e)  the upper quartile Q3 = 49

f)  the range = 38

g)  the interquartile range = 19

2)  

Median = 20.2

Lower quartile (Q1) = 19.8

Upper quartile (Q3) = 20.1

b) Interquartile range = 0.3

Range = 3.5

3)  a) Minimum value  = 3

b) Maximum value = 42

c)  the median = 20

d)  the lower quartile Q1 = 13

e)  the upper quartile Q3 = 29

f)  the range = 39

g)  the interquartile range = 16

4)  Median = 124, Q1 = 114, Q3 = 131

Problem 1 :

max-and-min-of-stem-and-leaf-q3.png

a)  Determine the minimum value, maximum value and range of the data.

b)  How many values are greater than 190?

c)  How many values are less than 151?

Solution

Problem 2 :

max-and-min-of-stem-and-leaf-q4.png

a)  Determine the minimum value, maximum value and range of the data

b)   How many values are greater than 163?

c)  How many values are less than 177?

Solution

Problem 3 :

For the following sample of weights (in kg) of year 10 students, find

a) the minimum weight

b) the maximum weight

c) the percentage of students with a weight less than 48 kg.

max-and-min-of-stem-and-leaf-q5.png

Solution

Problem 4 :

max-and-min-of-stem-and-leaf-q6.png

For the data set given, find

a) the minimum value    b)  the maximum value

c) the median    d)  The lower quartile

e) the upper quartile   f) the range

g) the interquartile range.

Solution

Answer Key

1)  a) Minimum value = 136

Maximum value = 228

Range = 92

b) There are 7 values greater than 190.

c) 5 values are lesser than 151.

2)  a) Minimum value = 121

Maximum value = 218

Range = 97

b) There are 18 values greater than 163.

c) 12 values are lesser than 177.

3)  

a) Minimum weight = 32

b) Maximum weight = 91

c) 20%

4) 

a) the minimum value = 3

b)  the maximum value = 42

c) the median = 20

d)  Lower quartile = 13

e) upper quartile = 29

f) Range = 39

g) the interquartile range = 16

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