11th class statistics,100% guess of full book long questions, inter class ics part 1 statistics,guess in pdf,2021,alp smart syllabus

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   Title: 11th class statistics,100% guess of full book long questions, inter class ics part 1 statistics,guess in pdf,2021,alp smart syllabus

   
   
    

   i. What is the importance of statistics in different fields?

2. The following are the number of flowers on different branches of a tree. Make an appropriate frequency distribution. 2, 3 ,5, 8, 10, 4, 5, 3, 0, 7, 6, 7, 1, 5, 4, 5, 8, 1, 2, 3, 6, 9, 5, 7, 4

3. The data given below shows the diameter in inches of ball-bearing manufactured by a company.

73.1, 78.3, 56.6, 78.5, 84.9, 74.7, 63.1, 73.8, 74.7, 70.8, 84.2, 84.1, 80.1, 86.4, 66.9, 64.2, 61.3, 58.4, 67.8, 78.0, 64.5, 84.0, 71.2, 56.3,

74.2, 72.4, 83.4, 94.2, 58.2, 70.4, 84.6, 77.2, 93.7, 82.1, 39.3, 74.6, 84.7, 72.1, 72.0, 54.4, 48.1, 78.1, 64.2, 94.0, 78.3, 66.0, 77.5, 71.5,

70.4, 51.0.

Prepare a frequency distribution using the following groups: 35 - 39.9, 40 - 44.9, ..........

4. Draw frequency polygon and frequency curve for the following data:

5. A survey was conducted to know the most common size of shoes. Twenty randomly selected shopkeepers of a certain shoe market of Lahore reported following sizes of shoes they sold on the particular day of survey.

2, 4, 5, 5.5, 5.0, 6.0, 6.5, 4.5, 6.0, 7.0, 7.5, 5.5, 6.0, 7.0, 4.5, 8.5, 9.5, 10.0, 4.5, 6.0, 6.5, 7.5, 7.5, 8.0, 5.0, 5.5, 7.0, 4.5, 7.5, 6.5, 6.5, 7.0,

5.0, 5.5, 7.5, 8.0, 9.5, 10.5, 6.5, 7.0, 8.5, 9.0, 9.5, 10.5, 10.0, 7.5, 8.5, 7.0, 8.5, 8.0, 9.0.

Make an appropriate frequency table showing the size of shoes.

6. Tabulate the following marks in a frequency distribution taking 10 as the class interval and 45 as the lowest limit: 109, 74, 49, 103, 95, 90, 118, 52, 88, 101, 69, 72, 56, 64, 110, 97, 59, 52, 96, 82, 65, 85, 105, 116, 91

7. In an experiment measuring the percent shrinkage on dyeing, 20 plastic clay test specimens gave the following results. 19.3, 19.5, 15.2, 16.8, 16.1, 17.1, 13.9, 17.8, 18.2, 16.5, 18.4, 16.3, 18.5, 16.9, 15.5, 19.4, 13.5, 18.6, 14.6, 17.5

Group these values into a frequency distribution taking 1.00 as the size of class interval e.g. 13.5 - 14.4, 14.5 - 15.4, etc. and determine the class boundaries.\

8. The table given below shows the quantity in hundreds tons of three commodities A, B and C produced by certain firm during the year 2001 to 2004

1. Construct a component bar chart to illustrate this data.

2. For each year, express the figure for each year as a percentage of annual total and hence construct a percentage bar chart.

9. Draw percentage sub-divided rectangles diagram for the following data:

Item	Family A	Family B
Food	240	350
Clothing	120	130
Housing	140	200
Fuel	80	100
Education	100	120
Misc.	120	100
Total	800	1000

10. In a certain office establishment 200 employees were asked to express their opinion on how they feel the office chief is performing his duties. The responses are classified as follows:

Draw a pie chart for the data.

11. Draw the histogram and polygon of the following data:

Classes	2 – 4	4 – 6	6 – 8	8 – 10	10 – 12	12 – 14
f	4	10	15	12	6	2

12. The following frequency distribution gives the weight of 35 objects, measured to the nearest kg:

Weight (kg)	6 – 8	9 – 11	12 – 17	18 – 20	21 – 29
Frequency	4	6	10	3	12

13. Scores on a reading speed test were grouped into the following distribution:

Marks	f
10 – 19	5
20 – 29	25
30 – 39	40
40 – 49	20
50 – 59	10
Year	A	B	C
2001	18	85	52
2002	24	76	60
2003	28	80	62
2004	31	95	74
Disapprove Strongly	Disapprove	Approve	Approve Strongly
94	52	43	11

Draw

more than cumulative frequency polygon.

 

14. Mark obtained by students of a class are as follows:

35, 39, 54, 10, 21, 51, 52, 12, 43, 48, 26, 36, 48, 22, 39, 36, 34, 19, 10, 17, 47, 38, 13, 30, 60, 59, 15, 7, 18, 40, 49, 51, 55, 32, 41, 22,

30, 35, 53, 25

Construct a frequency table with class interval "07".

15. Tabulate the following marks into a frequency distribution taking 10 as the class interval size and 35 as the lowest limit.

96, 109, 74, 103, 95, 90, 118, 52, 88, 86, 37, 103, 65, 38, 51, 90, 98, 101, 57, 103, 114, 109, 70, 75, 46, 105, 72, 56, 64, 110, 97, 59, 62,

96, 82, 65, 85, 105, 116, 91, 83, 99, 52

16. Draw a cumulative frequency polygon from the following midpoints.

Mid value	3.95	4.95	5.95	6.95	7.95	8.95	9.95
f	1	4	5	10	12	19	13

17. Make a frequency distribution taking the classes 60 - 62, 62 - 64 and so on from the following data: 62, 65, 63, 64, 71, 67, 70, 67, 65, 64, 69, 66, 65, 66, 65, 70, 64, 69, 69, 68, 72, 65, 61, 70, 60

18. The following data indicate no. of flowers on different branches of a big tree: 1, 0, 3, 2, 3, 3, 4, 5, 6, 7, 3, 2, 1, 5, 6, 4, 5, 6, 7, 8, 5, 3, 4, 9, 4

Make the frequency distribution of above data using class interval as one.

Type of Disability    No. of Persons

19. The following table shows disability in sample population: simple bar chart.

20. The number of letters in each word are:

Blind Deaf and Dumb

Crippled Other handicapped

13

26

41

33

Draw

5, 3, 4, 10, 2, 4, 2, 1, 5, 9, 5, 2, 12, 3, 10, 2, 3, 8, 4, 7, 8, 14,6, 9, 8, 2, 3, 2, 3, 2, 4, 5, 8, 6, 9, 9, 3, 8, 2, 8, 2 and 2

Make a discrete frequency distribution.

21. For following frequency distribution draw a histogram.

22. Tabulate the following marks into a frequency distribution taking 10 as the class interval size and 35 as the lowest limit.

96, 109, 74, 49, 103, 95, 90, 118, 52, 88, 86, 37, 103, 65, 38, 51, 90, 98, 101, 57, 103, 114, 109, 70, 75, 46, 105, 72, 56, 64, 110, 97, 59,

62, 96, 82, 65, 85, 105, 116, 91, 83, 99, 52

23. Draw a cumulative frequency polygon from the following midpoints.

Mid Value	3.95	4.95	5.95	6.95	7.95	8.95	9.95
f	1	4	5	10	12	19	13

24. (a) The marks of 60 students are given below. Make a frequency distribution taking a class interval of 10:

40, 29, 14, 37, 17, 20, 25, 7, 10, 47, 36, 6, 36, 23, 24, 28, 19, 60, 5, 16, 23, 6, 29, 9, 28, 18, 15, 24, 11, 25, 54, 12, 3, 22, 47, 57, 10, 31,

22, 44, 50, 30, 29, 15, 19, 13, 33, 52, 22, 8, 58, 20, 45, 16, 32, 38, 43, 36, 40, 5.

(b) Construct a histogram for part (a).

25. Find the geometric mean of 50,67,39,40,36,60,54,43.

26. The given table shows the distribution of the maximum load in shot tons supported by certain cables produced by a company. Determine Mean, Mode and Median.

Classes	24 – 27	27 – 30	30 – 33	33 – 36	36 – 39	39 – 42	42 – 45
Frequency	3	17	30	20	13	11	4
x	14	16	18	20	22	24
f	10	22	30	25	13	4
Maximums Loads	No. of cables
9.3 - 9.7	2
9.8 - 10.2	5
10.3 - 10.7	12
10.8 - 11.2	17
11.3 - 11.7	14
11.8 - 12.2	6
12.3 - 12.7	3
12.8 - 13.2	1

27. Compute Mean, Median, Mode, 6th Decile, and 74th percentile for the data given in the table.

Classes	Frequency
0.7312 - 0.7313	10
0.7314 - 0.7315	15
0.7316 - 0.7317	20
0.7318 - 0.7319	25
0.7320 - 0.7321	30
0.7322 - 0.7323	8
0.7324 - 0.7325	2

28. Find the value Q3,D5,P5 and mode for the following data:

Groups	Frequency	Groups	Frequency
0 – 4.9	3	25 – 29.9	13
5 – 9.9	4	30 – 34.9	13
10 – 14.9	9	35 – 39.9	5
15 – 19.9	11	40 – 44.9	2
20 – 24.9	15	45 – 49.9	1

29. Arithmetic Mean of 15 values is 20 and by adding 3 more values, the mean remains 20. Find the new three values if ration is a:b:c::3:2:1

30. Find semi-inter quartile range ( Quartile Deviation ) from the following data. 3,24,5,18,6,15,7,12, and 10.
    

31. Find lower quartile, upper quartile & quartile deviation from the given data.

Groups	Frequency
70 – 74	2
75 – 79	5
80 – 84	12
85 – 89	18
90 - 94	7
Y	Frequency
9.5	2
10	5
10.5	12
11	17
11.5	14
12	6
12.5	3
13	1

32. Calculate median & mean deviation from the following data.

33. Calculate variance & standard deviation from the following data. 102,104,106,108,110

34. Calculate mean, variance & standard deviation from the following data ( using short cut method ) : 102,104,106,108,110

35. Calculate variance & standard deviation from the following data using short-cut method.

Y	32.5	37.5	42.5	47.5	52.5	57.5
Frequency	12	18	29	32	16	8

36. Given the following results, find the combined co-efficient of variation. n1 = 100    S1 = 2.4    Y1 = 12.6

n2 = 120    S2 = 4.2    Y2 = 15.8

n3 = 150    S3 = 3.7    Y3 = 10.5

37. Calculate first four moments about the mean for the following set. 45,32,37,46,39,36,41,48 and 36

38. Find Karl Pearson's co-efficient of skewness from the following data.

Mid Point	22	27	32	37	42	47	52
Cumulative Frequency	1	5	13	24	39	48	50

39. First Four central moments are 0,45,81,43,74 & 49,17,37. Find a3 , b1 & b2 xl) Find index number using:

(1) 1977 as base    (2) average of the price as base:

Years	Prices	Years	Prices	Years	Prices
1977	22.5	1980	30	1983	37.5
1978	25	1981	35	1984	47.5
1979	27.5	1982	32.5	1985	45

xli) Construct index numbers of prices for the following data taking 1960 as base:

Years	Prices	Years	Prices
1960	50	1965	72
1961	51	1966	73
1962	52	1967	75
1963	53	1968	71
1964	62	1969	70

xlii) The prices is Rs. Per maund of coal sold during the year 1953-58 as given below.

Years	Prices	Years	Prices	Years	Prices
1953	14.95	1955	15.10	1957	16.28
1954	14.95	1956	15.65	1958	16.28

xliii) Construct chain indices for the following years, taking 1940 as base.

Item	Years
	1940	1941	1942	1943	1944
Wheat	2.80	3.40	3.60	4.0	4.20
Rice	2.95	3.60	3.90	2.75	2.75
Maize	3.10	3.50	3.40	4.50	3.70

xliv) Construct index numbers for 1963 assuming 1953 as base period by.

(1) Laspeyre's formula (2) Paasches's formula

Commodities	1953		1963
	Price	Quantity	Price	Quantity
A	2	50	10	40
B	3	10	8	5
C	4	5	4	5

xlv) Compute the weighted index numbers for 1964 from the following data with 1960 as base.

Commodities	Years
	1960	1964	1960	1964
Milk	3.95	4.25	97.75	104.36
Cheese	34.80	38.90	78	83
Butter	61.56	59.70	118	116

xlvi) Calculate Fisher's Ideal index from the following data.

Commodities	1965		1970
	Price	Quantity	Price	Quantity
A	4.6	102	9.50	96
B	3.7	15	7.36	28
C	10.2	17	8.42	21
D	8.9	19	9.87	13

xlvii) Calculate Laspeyre's Paache's and Fisher's ideal index for the following data.

Item	Average Price ( Rs )		Quantity ( Units )
	1992	1993	1992	1993
Wheat flour	4.38	4.57	20 Kg	16 Kg
Rice	14.15	15.58	10 Kg	12 Kg
Moong pulse	18.67	17.28	1 Kg	1 Kg
Gram pulse	10.41	16.36	1Kg	1 Kg

xlviii) Determine of the probability for the following events:

1. The sum 8 appears in a single toss of a pair of fair dice.

2. A sum 7 or 11 comes up in a single toss of a pair of fair dice.

xlix) A,B and C take turns in throwing a die for a prize to be given to one who first obtains 6. Compare their chances of success.

12. A can hit target 4 times in 5 shots, B can hit 2 times in 5 shots and C can hit 2 times in 4 shots. Find the probability that.

1. 2 shots hit    2) At least two shots hit.

    

    

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