Statistics_8

Q 12(a): BLE Exam

1. In a given data, if \( \sum x = 150 \) and number of items \( n = 15 \), find the value of \( \bar{X} \).[1U]
2. How many terms have sum 228 and mean 19?[1U]
3. In the given data, if \( \sum x = 50 \) and average \( (\bar{X}) = 10 \), find the number of items.[1U]
4. If the sum of the terms is \( \sum fx \), and sum of the frequencies is \( \sum f \), write down the formula to calculate mean \( (\bar{X}) \).[1K]
5. Write down the formula to find the mean of individual series where 'x' is variate value, 'n' the number of items and '\(\bar{X}\)' the mean.[1K]
6. In a data, if the sum of the terms is \( (\sum x) \) and number of terms is (n), then write down the formula to find arithmetic mean \( (\bar{X}) \).[1K]
7. If \( \sum fx = 100 \) and \( N = 20 \), find the mean \( (\bar{X}) \).[1U]
8. Which term will be the median of an ascending series containing 7 terms?[1K]
9. If seven workers are receiving daily wages of Rs. 350, 325, 350, 375, 350, 325, 350, find the mode wage.[1U]
10. Which is the modal letter in the word "curriculum"?[1K]
11. Find out the mode value of the given data: 2, 4, 6, 4, 3, 4, 5, 6, 4.[1K]
12. Find out the mode of the given data: d, f, e, f, e, d, f, d, e, f.[1K]
13. If the mode of the following data is 7, find the value of x: 3, 4, 1, 3, 7, 5, 6, 3, 7, x, 7, 2.[1K]
14. Find the range from the given data: 32 cm, 45 cm, 13 cm, 18 cm, 23 cm, 20 cm, 19 cm.[1K]
15. Find the range from the following data: 16 cm, 12 cm, 18 cm, 9 cm, 6 cm, 10 cm.[1K]
16. Find the range in given data: 28, 35, 21, 17, 10, 12, 3, 9, 34.[1U]
17. If \( \sum x = 42 \) and \( n = 6 \), find mean \( (\bar{X}) \).[1U]
18. The ages of Hari, Mohan, Sudip, Jiban and Niranjan are 12, 18, 13, 16 and 6 years respectively. Find their average age.[1U]
19. Find the average value \( (\bar{X}) \) from the given data: 2, 7, 9, 12 and 15.[1U]
20. Find the arithmetic mean of the given data: 10, 16, 14, 20, 22, 26.[1U]
21. Find the arithmetic mean of given data: 7, 5, 3, 4, 7, 10, 8, 13, 7, 6, 7, 5.[1U]
22. Find the median of the given data: 5, 10, 25, 20, 15.[1U]
23. Find the median from the given data: 11, 17, 9, 10, 14, 20, 16.[1U]
24. Find the range from the following given data: 62, 64, 60, 62, 64, 61, 65, 67, 63.[1U]
25. If the mean of 4, 10, 3, 6, a, 9 and 10 is 7, find the value of a.[1A]
26. If 7 is the mean of 3, 6, a, 9 and 10, find their median.[1A]
27. If the following numbers are in ascending order and median is 7, then find the value of x: 4, 6, x - 2, 9, 13.[1A]
28. The average age of 5 students is 9 years. Out of them the ages of 4 students are 5, 7, 8 and 15 years. What was the age of the remaining student?[1HA]
29. In the adjoining pie chart, the total number of students of class 6 to 9 is 600. How many students are there in class 8?[1HA]
30. Following numbers are in ascending order of magnitude. If their median is 36, then find the value of a: a + 2, a + 4, a + 6, a + 8, a + 10.[1HA]

Q 12(b): BLE Exam

1. 50 students in a school pay Rs. 1500 per month on an average, what is total yearly income of the school?[1U]
2. Find the mean from the given data:
   

   प्राप्तांक (Marks obtained):	10	15	20	25	30	35
   विद्यार्थी सङ्ख्या (No. of students):	2	4	7	5	4	3

   [2A]
3. Find the mean:
   

   प्राप्तांक (Marks obtained):	30	31	32	33	34
   विद्यार्थी सङ्ख्या (No. of students):	8	10	15	8	9

   [2A]
4. If the mean of the following data is 17, find the value of \( f_1 \):
   

   X	5	10	15	20	25	30
   f	2	5	10	\( f_1 \)	4	2

   [2A]
5. If the arithmetic mean of the data is 41, find the value of 'x':
   

   x	20	30	40	50	60	70
   f	3	4	x	4	1	2

   [2A]
6. Find the value of y when the average mark is 18 in the table given below:
   

   x	5	10	15	20	25	30
   f	7	y	8	4	5	10

   [2A]
7. Find the median:
   

   प्राप्तांक (Marks obtained):	26	30	35	40	45	50	55	65
   विद्यार्थी सङ्ख्या (No. of students):	2	3	6	10	12	13	3	4

   [2A]
8. Find the median:
   

   X	19	20	22	25	30	31	33
   f	7	9	8	11	5	6	7

   [2A]
9. The total monthly income of a family is Rs. 3600. The sources of income are shown in the given pie chart. Then find:
   (क) What is the income of the family from business?
   (ख) What is the income from agriculture?[1A]
10. The monthly expenditure of a family is given in the table. Represent it in a pie chart.
    

    शीर्षक (Headings):	खाना (Food)	कपडा (Clothing)	शिक्षा (Education)	स्वास्थ्य (Health)	बचत (Saving)
    खर्च रु. (Expenditure Rs.):	2000	3000	4000	2500	6500

    [2A]
11. Show the annual budget of a family as given below in a pie chart.
    

    शीर्षक (Items):	खाना (Food)	कपडा (Clothing)	शिक्षा (Education)	औषधी (Medicines)
    खर्चरु. (Expenditures):	Rs. 150000	Rs. 50000	Rs. 100000	Rs. 60000

    [2A]
12. The monthly expenditure of Ram's family is Rs. 3600. Represent the given information in pie chart.
    

    खर्च (Expenditure):	खाना (Food)	कपडा (Clothing)	शिक्षा (Education)	अन्य (Other)
    रकम रु. (Amount in Rs.):	1200	1500	x	300

    [2A]
13. Represent each of the following data in a pie chart.
    

    ग्यासहरू (Gases):	नाइट्रोजन (Nitrogen)	अक्सिजन (Oxygen)	अन्य (Others)
    प्रतिशत (Percentage):	78%	20%	2%

    [2A]
14. The monthly budget of a family is given below. Represent it in pie chart.
    

    खाना (Food)	शिक्षा (Education)	स्वास्थ्य (Health)	कपडा (Clothing)	अन्य (Others)
    Rs. 5000	Rs. 2000	Rs. 3000	Rs. 4000	Rs. 4000

    [2A]
15. The number of students studying from class 5 to class 8 in the Darbar High School is given in the table below.
    

    कक्षा (Class)	5	6	7	8
    विद्यार्थी सङ्ख्या (No. of students)	50	60	55	35

    
    (a) Represent the above data in a pie chart.
    (b) Find the mean of the data.[1A]
16. Annual expenditure of Arun's family is given below. Represent this information in a pie chart.
    

    शीर्षक (Title)	शिक्षा (Education)	स्वास्थ्य (Health)	लताकपडा (Clothing)	खाना (Food)
    खर्च रु. (Expenditure (Rs.))	96,000	40,000	64,000	1,20,000

    [2A]
17. In a data, if \( \sum x = 77 + m \), \( n = 10 \) and mean \( (\bar{X}) = 8 \), find the value of \( m \).[1A]
18. The monthly expenditure of a family is given in the table below.
    

    शीर्षक (Title)	खाना (Food)	शिक्षा (Education)	लताकपडा (Clothing)	अन्य खर्च (Other expenses)
    खर्च रकम (Expenditure amount)	Rs. 18,000	Rs. 10,000	Rs. 5,000	Rs. 3,000

    
    (a) Show the above data in a pie chart.
    (b) Find the median of the data given below: 10, 12, 8, 9, 17, 16, 18, 20, 22, 15, 13.[2A]
19. Marks obtained by 30 students of a class in the first term examination in Mathematics are given in the table below.
    

    प्राप्तांक (Marks)	20	25	30	35	40	45	50
    विद्यार्थी सङ्ख्या (No. of students)	3	4	5	8	5	4	1

    
    (a) Find the average marks in Mathematics.
    (b) Find the median.[2A]