Set having values is countable.
A set is said to be countable if its elements can either be listed in a sequence or there is a one-to-one correspondence between the elements of the set and the __________ _________ _______ _________ ____.
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___ ____ ______ ______ __________.
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State whether the following statements are True or False. Give reason in support of your answer.
(a) Between any two different rational numbers there is another rational number.
(b)
(c) 210 is 51st term of the sequence 10, 15, 20, 25, ...
(e) The range of the data shown in the following frequency distribution is 350.
| Classes | 200-250 | 250-300 | 300-350 | 350-400 | 400-450 | 450-500 | 500-550 |
| Frequencies | 0 | 7 | 3 | 8 | 4 | 0 | 0 |
If four cards are chosen from a pack of 52 playing cards then find the number of ways that all four cards are:
a) of same suit
b) red
c) face cards
d) king
e) of different suit
If in a hall there are 10 randomly selected students then how many numbers of ways are there such that all of them have different birthday. Assume that all of them have their birthday in non-leap years.
Write whether the following data are discrete or continuous. Give reason in support of your answer.
i) Number of children in a family in a colony of 100 families.
Number of pages in each of the 50 books having some mistake.
Height of students of IGNOU who enrolled in 2021.
iv) Waiting time of metro when a person reaches metro station.
v) Monthly income of the family.
Draw a box plot with whisker, +ve sign and outliers for the following data:
42, 37, 28, 23, 32, 25, 26, 39, 38, 41, 22, 38, 21, 31, 26, 36, 42, 52, 50, 47, 24, 53, 28
Discuss the continuity and differentiability of the following function at x = 2/3:
Write any 10 principles of data visualisation.