Question

Study the graph and answer the questions that follow:

1. Make a frequency table for the information provided in the graph.
2. The number of students whose height is less than 150 cm.
3. The total number of students.
4. The modal height.
5. The difference in the modal height and the mean height, if the average height of the students is 145.5 cm.

Answer 1

a.

Class	Frequency (f)	Cumulative frequency (c.f.)
120 – 130	6	6
130 – 140	29	35
140 – 150	34	69
150 – 160	22	91
160 – 170	12	103

b. From the above table,

The number of students whose height is less than 150 cm = 69.

c. From the above table,

The total number of students = 103.

d. From graph,

The modal height = 143 cm.

e. Mean height = Average height = 145.5

Difference in the modal height and the mean height :

145.5 – 143 = 2.5 cm

Hence, difference between modal height and the mean height = 2.5 cm.