Frequency Distribution Problems


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Question 11

Question:   Find the mean of the following frequency distribution:

Answer:   


Mean = 25

Question 12

Question:   The data on number of patients in a hospital in a month are given below. Find the average number of patients attending the hospital in a day.

Answer:   


Mean = 28.67

Question 13

Question:   Find the missing frequency (p) in the following distribution, whose mean is 54.

Answer:   

Given Mean = 54


Cross - multiplying, we get
54(92 + p) = 5160 + 30p
4968 + 54p = 5160 + 30p
54p - 30p = 5160 - 4968
24p = 192

p = 8

Question 14

Question:   A TV station broadcasts hours each day on an average. A programme analysis shows.

Represent the above data by (a) a bar chart (b) a pie chart.

Answer:    (a) Bar chart



(b) Pie chart
Calculation of Angles.
Drama:Angle at the centre

Documentary: Angle

Sports: Angle

News: Angle


Others: Angle




Question 15

Question:   The total votes polled (to the nearest 100) in a certain by - election were distributed among the various candidates as follows:

Represent the above data by (a) a bar graph, (b) a pie graph

Answer:    (a) Bar graph



(b) Pie Graph
Calculation of Angles:
A: Angle at the centre
B: Angle at the centre
C: Angle at the centre
D: Angle at the centre
E: Angle at the centre




Question 16

Question:   The daily average price of Rank Xerox's share is listed below for a week.

Represent the data by a bar graph.

Answer:   



Question 17

Question:   The rainfall over an island for a year is recorded below.

Present this information by a bar chart.

Answer:   

Question 18

Question:   The monthly expenses of two families are as follows:


Illustrate the data by 'double bar' graph

Answer:   

Question 19

Question:   Areas in million square km of oceans of the world are:

Draw (a) a bar graph (b) a pie chart

Answer:   
(a) Bar graph





(b) Pie chart
Working:









Question 55

Question:   Three coins are tossed simultaneously 250 times with the following frequencies of different out comes.


If these coins are tossed gain what is the probability of getting 2 heads?

Answer:    Let E denote the event of getting 2 heads.



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