Question

LA Student noted the number of cars passing through a spot on a
road for 100 periods
each summarised
the table
given
find the mean and mode of the data:
it in
belown
Number of cars
40 - 20
20-30
30-40| 48-50 50-60 60-70 70-80
20
15
8
14
2
$2
13
frequency​

Answer 1

Step-by-step explanation:

From the given data, it can be observed that the maximum class frequency is 20, belongings to 40−50 class intervals.

We know,

Mode=l+

2f−f

1

−f

2

f−f

1

×h

l= lower limit of the modal class

h= size of the class intervals

f= frequency of the modal class

f

1

= frequency of the class preceding the modal class

f

2

= frequency of the class succeed in the modal class.

⇒ Modal class =40−50.

⇒ l=40,f=20,f

1

=12,f

2

=11,h=10

⇒ Mode=40+

2×20−12−11

20−12

×10

⇒ Mode=40+

17

80

⇒ Mode=40+4.71=44.7cars