Question

During medical examination of students, height of 70 students in a particular class is recorded.

Data gathered is as follow.

Height (in

cm)

150 160 158 155 164 168

No. of

Students

10 14 8 15 7 16

a) The probability of students having height 164 cm is

i) 1

10

ii) 164

70

iii) 164

7

iv) 70

7

[1 M]

b) Akshay and his friend circle (among the 70 students) is taller in class and have heights greater than

162cm. The probability value is

i)

7

16

ii) 23

70

iii) 16

70

iv) 7

70​

Answer 1

Answer:

Given

a

2

=13 and a

5

=25

We know that

a

n

=a+(n−1)d

∴a

2

=a+(2−1)d

⇒13=a+(2−1)d

⇒a+d=13 ...(i)

and a

5

=a+(5−1)d

⇒25=a+4d

⇒a+4d=25 ...(ii)

Now, subtracting (i) from (ii), we get

3d=12

⇒d=4

Now a+d=13 [from (i)]

⇒a=9

Hence, a

7

=a+6d=9+6(4)

⇒a

7

=33

Step-by-step explanation:

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