Page 108 - Ganit Kaushal

Ex 4. Faiz prepared a frequency distribution table of data on the number of wickets taken by Jaspreet Bumrah
in his last 30 matches: (NCERT)
(a) In how many matches has Bumrah taken 4 wickets? Wickets taken Number of matches
(b) In how many matches has Bumrah taken 4 or more wickets? 0 2
(c) In how many matches did Bumrah go wicketless? 1 4
(d) In any match where he took 5 or more wickets, he was declared 2 6
‘man of the match’. In how many matches has Bumrah been 3 8
the man of the match? 4 3
(e) Mayank says, “If we want to know the total number of wickets 5 5
he has taken in his last 30 matches, we have to add the numbers 6 1
0, 1, 2, 3 …, up to 7.” Can Mayank get the total number of 7 1
wickets Bumrah has taken in this way? Why?
(f) How would you correctly figure out the total number of wickets taken by Bumrah in his last 30
matches, using this table?
Sol. (a) Jaspreet Bumrah has taken 4 wickets in 3 matches.
(b) Bumrah has taken 4 or more wickets in 3 + 5 + 1 + 1 = 10 matches.
(c) In 2 matches, Jaspreet Bumrah went wicketless.
(d) In 5 + 1 + 1 = 7 matches, Bumrah has been the man of the match.
(e) No, the way Mayank is finding the total number of wickets taken by Bumrah in his last 30 matches
is wrong. The given wickets in the table are for only 1 match each.
(f) To find the total number of wickets, we need to first multiply the wickets taken and the corresponding
no. of matches, and then add, i.e.,
0 × 2 + 1 × 4 + 2 × 6 + 3 × 8 + 4 × 3 + 5 × 5 + 6 × 1 + 7 × 1
= 0 + 4 + 12 + 24 + 12 + 25 + 6 + 7 = 90 wickets
Ex 5. Following is the choice of sweets of 30 students of class VI.
Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi,
Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi,
Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.
(a) Arrange the names of sweets in a table using tally marks.
(b) Which sweet is preferred by the most students?

Sol. (a) Let us prepare a table using tally marks for the names of sweets as given in the figure.
Name of sweets Tally marks Number of students
Ladoo |||| |||| | 11
Barfi ||| 3
Jalebi |||| || 7
Rasgulla |||| |||| 9
Total 30

(b) Ladoos are preferred by the most students.
Ex 6. Shella threw a dice 40 times and noted the number appearing each time as shown below:

1 3 5 6 6 3 5 4 1 6
2 5 3 4 6 1 5 5 6 1
1 2 2 3 5 2 4 5 5 6
5 1 6 2 3 5 2 4 1 5

106 Mathematics-6