LESSON 1

The weights of 30 children in a class, to the nearest kilogram, were as follows.

50 45 61 53 55 47 52 49 46 51

60 52 54 47 57 59 42 46 51 53

56 48 50 51 44 52 49 58 55 45

Construct a stem and leaf diagram to illustrate the data.

LESSON 2

The birth weights in kilograms of 24 babies are shown, in ascending order.

2.60 2.68 2.79 2.82 2.82 2.88 2.93 2.96 3.06 3.06 3.12 3.14

3.16 3.20 3.24 3.26 3.26 3.30 3.32 3.32 3.32 3.42 3.44 3.44

(i) Construct a stem and leaf diagram to illustrate this data.

(ii) State the mode.

(iii) Calculate the mean weight.

LESSON 3

The birth weights in kilograms of 24 babies are shown, in ascending order.

2.60 2.68 2.79 2.82 2.82 2.88 2.93 2.96 3.06 3.06 3.12 3.14

3.16 3.20 3.24 3.26 3.26 3.30 3.32 3.32 3.32 3.42 3.44 3.44

(i) Construct a stem and leaf diagram to illustrate this data.

(ii) State the mode.

(iii) Calculate the mean weight.

Quartiles

LESSON 1

34 males took part in a 400 m race and the time taken, in seconds, by each student is recorded

50 54 54 55 57 58 59 60 61 61 61

62 63 64 65 66 68 71 71 72 72 72 73

75 76 78 82 82 83 84 85 87

(a) Construct a stem and leaf diagram to represent the times taken by the students.

(b) Determine

(i) the range,

(ii) the median time,

(iii) the lower quartile,

(iv) the upper quartile,

(v) the inter-quartile range.

LESSON 2

32 males took part in a 400 m race and the time taken, in seconds, by each student was recorded. The results were placed in the stem and leaf diagram below.

Determine

(i) the median time

(ii) the lower quartile

(iii) the upper quartile

(iv) the inter-quartile range.

Back to Back Stem and Leaf Diagrams

LESSON 1

The weights in kilograms of two groups of 17 – year – old males from country P and country Q are displayed in the following back-to-back stem – and – leaf diagram. In the third row of the diagram, ...4|7|1... denotes weights of 74 kg for a male in country  and 71 kg for a male in country .

Find the median and quartile weights for country P and country Q.