HARD
10th Telangana Board
IMPORTANT
Earn 100

The following table gives the distribution of the lifetime of 400 neon lamps

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

If the median lifetime of a lamp is k hours, find k (correct up to two places of decimal).

50% studentsanswered this correctly

Important Questions on Statistics

HARD
10th Telangana 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 alphabet 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 Telangana Board
IMPORTANT

The distribution below gives the weights of 30 students of a class. If the median weight of the students is k kg, find k (correct up to two places decimal).

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

 

HARD
10th Telangana Board
IMPORTANT

The following distribution gives the daily income of 50 workers of a factory.

Daily income (in Rupees) 250-300 300-350 350-400 400-450 450-500
Number of workers 12 14 8 6 10

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

HARD
10th Telangana 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
Less than 40
Less than 42
Less than 44
Less than 46
Less than 48
Less than 50
Less than 52
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Draw a less than type ogive for the given data. Hence, obtain the median weight from the graph and verify the result by using the formula.

HARD
10th Telangana Board
IMPORTANT

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

Production yield (Qui/Hec) 50-55 55-60 60-65 65-70 70-75 75-80
Number of farmers 2 8 12 24 38 16

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