Exercise 7.2
1. Long jumps by 7 students of a team are 98cm, 125cm, 140cm, 155cm, 174cm, 140cm and 155cm. Find the mode of the data.
Solution:
Given that,
Long jumps by 7 students of a team are 98cm, 125cm, 140cm, 155cm, 174cm, 140cm and 155cm.
We have to find the mode of the data.
The mode = Observations which occurs more number of times.
The mode =
The mode = 155 cm
2.Ages of players in a cricket team are 25, 26, 25, 27, 28, 30, 31, 27, 33, 27, 29.
(i) Find the mean and mode of the data.
Solution:
Given that,
Ages of players in a cricket team are 25, 26, 25, 27, 28, 30, 31, 27, 33, 27, 29.
We have to find the mean and mode of the data.
The mode = Observations which occurs more number of times.
The mode =
mode =
Now,
Mean =
Mean =
Mean =
(ii) Find the minimum number of players to be added to the above team so that mode of the data changes and what must be their ages.
Solution:
At least 2 players should be added, aged
3.Find the mode of the following data.
12, 24, 36, 46, 25, 38, 72, 36, 25, 38, 12, 24, 46, 25, 12, 24, 46, 25, 72, 12, 24, 36, 25, 38 and 36.
Solution:
The mode = Observations which occurs more number of times.
From above data,
Observation
Mode =
4.Decide whether mean or mode is a better representative value in the following situations
(i)
(i) A shop keeper, who sells tooth paste tubes of different sizes, wants to decide which size is to be ordered more
Solution:
(ii)
(ii) An invigilator wants to bring sufficient number of additional papers to the examination hall.
Solution:
Here, we find mean of all students in examination hall who requires additional papers.
(iii)
(iii) Preparation of the number of laddus for a marriage.
Solution:
Here, we find mean of all people who present to marriage for eat laddus.
(iv)
(iv) For finding the favourite cricketer in a class
Solution: