MEDIUM
10th Assam Board
IMPORTANT
Earn 100

The following table gives the distribution of the life time of 400 neon lamps :

Lifetime (in hours) Number of lamps
1500 - 2000 14
2000 - 2500 56
2500 - 3000 60
3000 - 3500 86
3500 - 4000 74
4000 - 4500 62
4500 - 5000 48

Find the median lifetime of a lamp.

Important Questions on Statistics

HARD
10th Assam Board
IMPORTANT

100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

Number of letters 1 - 4 4-7 7-10 10-13 13-16 16-19
Number of surnames 6 30 40 16 4 4

Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames.

HARD
10th Assam Board
IMPORTANT
The distribution below gives the weights of 30 students of a class. Find the median weight of the students.
Weight
(in kg)
40-45 45-50 50-55 55-60 60-65 65-70 70-75
Number of students 2 3 8 6 6 3 2
EASY
10th Assam Board
IMPORTANT
The following distribution gives the daily income of 50 workers of a factory.
Daily income 100-120 120-140 140-160 160-180 180-200
Number of workers 12 14 8 6 10

Convert the above distribution to a less than type cumulative frequency distribution, and draw its ogive.

MEDIUM
10th Assam Board
IMPORTANT

During the medical check-up of 35 students of a class, their weights were recorded as follows:

Weight (in kg) Number of students
Less than 38 0
Less than 40 3
Less than 42 5
Less than 44 9
Less than 46 14
Less than 48 28
Less than 50 32
Less than 52 35


Draw a less than type ogive for the given data. Hence, obtain the median weight from the graph verify the result by using the formula.

MEDIUM
10th Assam Board
IMPORTANT

The following table gives production yield per hectare of wheat of 100 farms of a village.

Production yield (in kg/ha) 50-55 55-60 60-65 65-70 70-75 75-80
Number of farms 2 8 12 24 38 16

Change the distribution to a more than type distribution and draw ogive.