The formula to find mean by step deviation method is
- A$\frac{\sum f_i u_i}{\sum f_i}$
- B$A+\bar{d}$
- C
- DNone of these
Question types
P-1 Statistics question types
208 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
208
Questions
5
Question groups
5
Question types
01
M.C.Q (1 Marks)
26 Q→022 Marks Questions
12 Q→03Complete the following activities and rewrite it ( 3 marks)
36 Q→043 Marks Question
14 Q→054 Marks Questions
120 Q→Sample Questions
P-1 Statistics questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The formula of mode is
- ✓$L+\left[\frac{f_1-f_0}{2 f_1-f_0-f_2}\right] \times h$
- B$L-\left[\frac{f_1-f_0}{2 f_1-f_0-f_2}\right] \times h$
- C$L+\left[\frac{f_1-f_0}{2 f_1-f_0+f_2}\right] \times h$
- D$L-\left[\frac{f_1-f_0}{2 f_1-f_0-f_2}\right] \times \frac{1}{h}$
Answer: A.
View full solution →If $\Sigma f_id_i=1885$ and $\Sigma f_i=100$, then the value of $\bar{d}$ is
- A1.885
- ✓18.85
- C188.5
- D1885
Answer: B.
View full solution →The value of lower limit ( L ) in the above example to calculate median is
- A$0$
- B10
- ✓20
- D30
Answer: C.
View full solution →The median class for the following frequency distribution is
| Class interval | 0-10 | 10-20 | 20-30 | 30-40 |
| Frequency | 5 | 7 | 13 | 18 |
- A$0-10$
- B$10-20$
- ✓$20-30$
- D$30-40$
Answer: C.
View full solution →The following table shows the income of farmers in a grape season. Find the mean of their income.
The age group and number of persons, who donated blood in a blood donation camp is given below. Draw a pie diagram from it.
Find the correct answer from the alternatives given.
The above data is to be shown by a frequency polygon. The coordinates of the points to show number of students in the class 4-6 are . . . .
A. (4, 8)
B. (3, 5)
C. (5, 8)
D. (8, 4)
The above data is to be shown by a frequency polygon. The coordinates of the points to show number of students in the class 4-6 are . . . .
A. (4, 8)
B. (3, 5)
C. (5, 8)
D. (8, 4)
Find the correct answer from the alternatives given.The median of the distances covered per litre shown in the above data is in the group $. . . . .$
- A$12-14$
- B$14-16$
- ✓$16-18$
- D$18-20$
Answer: C.
View full solution →Find the correct answer from the alternatives given.
The formula to find mean from a grouped frequency table is $\bar{x}=A \frac{\sum f_i u_i}{\sum f_i} \times h g$
In the formula $u_i$ =……
A. $\frac{X_1+A}{g}$
B. $(x,-A)$
C. $\frac{X_1-A}{g}$
D. $\frac{A-X_i}{g}$
View full solution →The formula to find mean from a grouped frequency table is $\bar{x}=A \frac{\sum f_i u_i}{\sum f_i} \times h g$
In the formula $u_i$ =……
A. $\frac{X_1+A}{g}$
B. $(x,-A)$
C. $\frac{X_1-A}{g}$
D. $\frac{A-X_i}{g}$
The weekly wages of 120 workers in a factory are shown in the following frequency distribution table. Find the mean of the weekly wages.
The loans sanctioned by a bank for construction of farm ponds are shown in the following table. Find the mean of the loans.
The following frequency distribution table gives the ages of 200 patients treated in a hospital in a week. Find the mode of ages of the patients.
Grouped frequency distribution of supply of milk to hotels and the number of hotels is given in the following table. Find the mode of the supply of milk.
Electricity used by some families is shown in the following table. Find the mode for use of electricity.
The adjoining pie-diagram shows the percentage distribution of the expenditure incurred in publishing a book. Study the diagram and answer the questions:
(a) If for certain quantity of books, the publisher has to pay ₹ 30,600 as printing, then what will be the amount of royalty to be paid for these books?
(b) What is the central angle of the sector corresponding to the expenditure incurred on Royalty?
(a) If for certain quantity of books, the publisher has to pay ₹ 30,600 as printing, then what will be the amount of royalty to be paid for these books?
(b) What is the central angle of the sector corresponding to the expenditure incurred on Royalty?
The following table shows the ages of 300 patients getting medical treatment in a hospital on a particular day.
Find the median age of patients.
Age in years | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| No. of patients | 60 | 42 | 55 | 70 | 53 | 20 |
The mean of the following frequency distribution is 62.8 and the sum of all frequencies is 50. Complete the missing frequencies $f_1$ and $f_2$
View full solution →Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 |
| Frequency | 5 | $f_1$ | 10 | $f_2$ | 7 | 8 |
Rainfall (in mm) recorded in 50 cities in a partial region on a particular day is given below.
Find the mean rainfall on that day in a city by Assumed Mean method.
| Rainfall in mm | 36-39 | 40-43 | 44-47 | 48-51 | 52-55 | 56-59 | 60-63 |
| No. of cities | 6 | 7 | 10 | 7 | 7 | 9 | 4 |
The following table gives the distribution of total household expenditure (in rupee) of workers in a city.
Find the mean expenses per household by step deviation method.
| Expenditure (in rupees) | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 | 350-400 | 400-450 |
| No. of workers | 24 | 40 | 33 | 28 | 30 | 22 | 16 |
The annual investments of a family are shown in the adjacent pie diagram. Answer the following questions based on it.
(1) If the investment in shares is Rs 2000/, find the total investment.
(2) How much amount is deposited in bank?
(3) How much more money is invested in immovable property than in mutual fund?
(4) How much amount is invested in post?
(1) If the investment in shares is Rs 2000/, find the total investment.
(2) How much amount is deposited in bank?
(3) How much more money is invested in immovable property than in mutual fund?
(4) How much amount is invested in post?
The pie diagram in figure 6.13 shows the proportions of different workers in a town.
Answer the following questions with its help.
(1) If the total workers is 10,000; how many of them are in the field of construction?
(2) How many workers are working in the administration?
(3) What is the percentage of workers in production?
Answer the following questions with its help.
(1) If the total workers is 10,000; how many of them are in the field of construction?
(2) How many workers are working in the administration?
(3) What is the percentage of workers in production?
The following table shows the percentages of demands for different fruits registered with a fruit vendor. Show the information by a pie diagram.
In a tree plantation programme, the number of trees planted by students of different classes is given in the following table. Draw a pie diagram showing the information.
The marks obtained by a student in different subjects are shown. Draw a pie diagram showing the information.
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