A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data.
No. of cars
Frequency
0-10
7
10-20
14
20-30
13
30-40
12
40-50
20
50-60
11
60-70
15
70-80
8

44.7

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45.9

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46.7

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42.9

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Solution

The correct option is A 44.7

No of cars Frequency(Fi)

0-10 7

10-20 14

20-30 13

30-40 12

40-50 20

50-60 11

60-70 15

70-80 8

$T h e m o d a l r a n g e l i e s w h e r e t h e f r e q i s h i g h e s t = 40 - 50 T h e m o d e o f t h e c o n t i n u o u s r a n g e = L + \frac{(f m - f m - 1)}{((f m - f m - 1) + (f m - f m + 1))} \times H W e h a v e, L = 40, f m = 20, f m - 1 = 12, f m + 1 = 11, H = 10 M o d e = 40 + \frac{(20 - 12)}{((20 - 12) + (20 - 11))} \times 10 = 44.70588235 = 44.7$

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No. of cars	Frequency
0-10	7
10-20	14
20-30	13
30-40	12
40-50	20
50-60	11
60-70	15
70-80	8

No of cars	Frequency(Fi)
0-10	7
10-20	14
20-30	13
30-40	12
40-50	20
50-60	11
60-70	15
70-80	8

A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data.No. of carsFrequency0-10710-201420-301330-401240-502050-601160-701570-808

A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data.
No. of cars
Frequency
0-10
7
10-20
14
20-30
13
30-40
12
40-50
20
50-60
11
60-70
15
70-80
8