Question

c) Below is a stem and leaf diagram of the heights of a number of people in inches
Stem Leaf
13 6 9 9 Key
14 2 3 3 3 3 4 13 6=136
14 6 7 7 8 9
15 1 3 4
15 6 7
16 2 4

i. How many people were sampled (2 Marks)
ii. What is the modal height (2 Marks)
iii. What is the range of the height (2 Marks)
iv. List all the heights of the people sampled (3 Marks)

Answer 1

Answer on Question #85454 – Math – Statistics and Probability

Question

c) Below is a stem and leaf diagram of the heights of a number of people in inches

Stem Leaf

13 6 9 9 Key

14 2 3 3 3 3 4 13 6=136

14 6 7 7 8 9

15 1 3 4

15 6 7

16 2 4

i. How many people were sampled (2 Marks)

ii. What is the modal height (2 Marks)

iii. What is the range of the height (2 Marks)

iv. List all the heights of the people sampled (3 Marks)

Solution

i. $n = 3 + 6 + 5 + 3 + 2 + 2 = 21$.

ii. Mode = 143.

iii. Range = 164 – 136 = 28.

iv. 136,139,139, 142, 143, 143, 143, 143, 144, 146, 147, 147, 148, 149, 151, 153, 154, 156, 157, 162, 164.

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