If the 'less than' type ogive and 'more than' type ogive intersect each other at $(20.5,15.5)$ then the median of the given data is
- A36.0
- ✓20.5
- C15.5
- D5.5
Answer: B.
View full solution →Question types
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81
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5
Question groups
5
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01
M.C.Q (1 Marks)
30 Q→021 Marks Question
4 Q→032 Marks Questions
13 Q→043 Marks Question
18 Q→055 Marks Questions
16 Q→Sample Questions
Stastics questions
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Relationship among mean, median and mode is:
- A3 Median = Mode + 2 Mean
- B3 Mean $=$ Median +2 Mode
- C3 Mode $=$ Mean $=2$ Median
- DMode $=3$ Mean -2 Median
If the mode of some data is $7$ and their mean is also $7$ , then their median is:
- A$10$
- B$9$
- C$8$
- ✓$7$
Answer: D.
View full solution →The mode of the numbers $2,3,3,4,5,4,4,5,3,4,2,6,7$ is:
- A2
- B3
- ✓4
- D5
Answer: C.
View full solution →For the following frequency distribution
The upper limit of median class is
| Classes: | $0-5$ | $5-10$ | $10-15$ | $15-20$ | $20-25$ |
| Frequency: | $8$ | $10$ | $19$ | $25$ | $8$ |
- A$15$
- B$10$
- ✓$20$
- D$25$
Answer: C.
View full solution →Write an empirical relationship between the three measures of central tendency i.e. mean, median and mode.
Monthly pocket money of 50 students of a class are given in the following distribution:
Find modal class and also give class rank of the modal class.
| Monthly pocket money (in Rs) | 0-50 | 50-100 | 100-150 | 150-200 | 200-250 | 250-300 |
| Number of students | 2 | 7 | 8 | 30 | 12 | 1 |
Find modal class and also give class rank of the modal class.
The following are the ages of 300 patients getting medical treatment in a hospital on a particular day.Write the above distribution as less than type cumulative frequency distribution.
| Age (in years) | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| Cumulative frequency | 60 | 42 | 55 | 70 | 53 | 20 |
Find the class marks of the classes $20-50$ and $35-60$.
View full solution →In a class test, $50$ students obtained marks are as follows. Find the modal class and the median class.
View full solution →| Marks | $0-20$ | $20-40$ | $40-60$ | $60-80$ | $80-100$ |
| Numbers | $4$ | $6$ | $25$ | $10$ | $5$ |
Given below is a frequency distribution table showing daily income of 100 workers of a factory:
Convert this table to a cumulative frequency distribution table of more than type'.
| Daily income of workers (in Rs) | 200-300 | 300-400 | 400-500 | 500-600 | 600-700 |
| Number of workers | 12 | 18 | 35 | 20 | 15 |
Convert this table to a cumulative frequency distribution table of more than type'.
Find the mode of the following frequency distribution:
| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
| Frequency | 3 | 8 | 9 | 10 | 3 |
The following are the ages of 300 patients getting medical treatment in a hospital on a particular day
Form'less than type' cumulative frequency distribution.
| Age(in years) | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| Number of patients | 60 | 42 | 55 | 70 | 53 | 20 |
Form'less than type' cumulative frequency distribution.
Convert the following distribution to a 'more than type' cumulative frequency distribution:
| Class | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
| Frequency | 4 | 8 | 10 | 12 | 10 |
Heights of 50 students of class X of a school are recorded and following data is obtained:
Find the median height of the students.
| Height (in cm): | 130-135 | 135-140 | 140-145 | 145-150 | 150-155 | 155-160 |
| Number of Students: | 4 | 11 | 12 | 7 | 10 | 6 |
Find the median height of the students.
Find the mean of the following data using assumed mean method:
| Class: | 0-5 | 5-10 | 10-15 | 15-20 | 20-25 |
| Frequency: | 8 | 7 | 10 | 13 | 12 |
The mean of the following frequency distribution is $25$. Find the value of $f.$
View full solution →| Class: | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ |
| Frequency: | $5$ | $18$ | $15$ | $f$ | $6$ |
Calculate the mode of the following distribution:
| Class: | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 |
| Frequency: | 4 | 7 | 20 | 8 | 1 |
Find the mean of the data by step deviation method.
View full solution →| $C.I$ | $15-25$ | $25-35$ | $35-45$ | $45-55$ | $55-65$ | $65-75$ | $75-85$ | $85-95$ |
| Frequency | $6$ | $11$ | $7$ | $4$ | $4$ | $2$ | $1$ | $10$ |
250 apples of a box were weighed and the distribution of masses of the apples is given in the following table:
| Mass (in grams) | 80-100 | 100-120 | 120-140 | 140-160 | 160-180 |
| Number of apples | 20 | 60 | 70 | x | 60 |
(i)Find the value of X and the mean mass of the apples.
(ii) Find the model mass of the apples.
The distribution below gives the weight of $30$ students of a class. Find the median weight of the students:
View full solution →| Weight in kg | $40-45$ | $45-50$ | $50-55$ | $55-60$ | $60-65$ | $65-70$ | $70-75$ |
| Number of Students | $2$ | $3$ | $8$ | $6$ | $6$ | $3$ | $2$ |
The houses in a row are numbered consecutively from 1 to 49. Show that there exists a value of X such that sum of houses preceding the house numbered X is equal to sum of the numbers of houses following X.
Weights of new born babies in a hospital are as follows:
If the mode of the data is 2.2 kg, find the unknown frequency x.
| Weight (in kg) | 1.3-1.5 | 1.5-1.7 | 1.7-1.9 | 1.9-2.1 | 2.1-2.3 | 2.3-2.5 | 2.5-2.7 | 2.7-2.9 |
| Number of new born babies | 1 | 4 | 6 | 9 | 10 | x | 8 | 3 |
If the mode of the data is 2.2 kg, find the unknown frequency x.
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