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The following table gives the distribution of females in an Indian village. Determine the median age of graphically.
| Age group | No. of females (in ‘000) |
| 0 – 10 | 175 |
| 10 – 20 | 100 |
| 20 – 30 | 68 |
| 30 – 40 | 48 |
| 40 – 50 | 25 |
| 50 – 60 | 50 |
| 60 – 70 | 23 |
| 70 – 80 | 8 |
| 80 – 90 | 2 |
| 90 – 100 | 1 |
Concept: undefined >> undefined
Draw ogive for the Following distribution and hence find graphically the limits of weight of middle 50% fishes.
| Weight of fishes (in gms) | 800 – 890 | 900 – 990 | 1000 – 1090 | 1100 – 1190 | 1200 – 1290 | 1300 –1390 | 1400 – 1490 |
| No. of fishes | 8 | 16 | 20 | 25 | 40 | 6 | 5 |
Concept: undefined >> undefined
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Find graphically the values of D3 and P65 for the data given below:
| I.Q of students | 60 – 69 | 70 – 79 | 80 – 89 | 90 – 99 | 100 – 109 | 110 – 119 | 120 – 129 |
| No. of students | 20 | 40 | 50 | 50 | 20 | 10 | 10 |
Concept: undefined >> undefined
For a data set, sum of upper and lower quartiles is 100, difference between upper and lower quartiles is 40 and median is 50. Find the coefficient of skewness.
Concept: undefined >> undefined
For a data set with upper quartile equal to 55 and median equal to 42. If the distribution is symmetric, find the value of lower quartile.
Concept: undefined >> undefined
Obtain the coefficient of skewness by formula and comment on nature of the distribution.
| Height in inches | No. of females |
| Less than 60 | 10 |
| 60 – 64 | 20 |
| 64 – 68 | 40 |
| 68 – 72 | 10 |
| 72 – 76 | 2 |
Concept: undefined >> undefined
Calculate Skb for the following set of observations of yield of wheat in kg from 13 plots:
4.6, 3.5, 4.8, 5.1, 4.7, 5.5, 4.7, 3.6, 3.5, 4.2, 3.5, 3.6, 5.2
Concept: undefined >> undefined
For a frequency distribution Q3 – Q2 = 90 And Q2 – Q1 = 120, find Skb.
Concept: undefined >> undefined
Following table shows the classification of applications for secretarial and for sales positions according to gender. Calculate the value of χ2 Statistic.
|
Offered |
Denied | |
| Male | 75 | 150 |
| Female | 25 | 50 |
Concept: undefined >> undefined
200 teenagers were asked which take-out food do they prefer - French fries, burger, or pizza. The results were -
| French fries | Burger | Pizza | |
| Boys | 6 | 20 | 24 |
| Girls | 18 | 40 | 92 |
Compute χ2 Statistics.
Concept: undefined >> undefined
A sample of men and women who had passed their driving test either in 1st attempt or in 2nd attempt surveyed. Compute χ2 statistics.
| Passed in → |
First attempt | Second attempt |
| Men | 32 | 28 |
| Women | 8 | 12 |
Concept: undefined >> undefined
800 people were asked whether they wear glasses for reading with the following results.
| Age | Wear glasses | Do not wear glasses |
| ≤ 30 | 310 | 90 |
| > 30 | 290 | 110 |
Compute the X2 square statistic.
Concept: undefined >> undefined
Out of a sample of 120 persons in a village, 80 were administered a new drug for preventing influenza and out of them 18 were attacked by influenza. Out of those who were not administered the new drug, 10 persons were not attacked by influenza: Prepare to compute the χ2 square statistic.
Concept: undefined >> undefined
A box contains 11 tickets numbered from 1 to 11. Two tickets are drawn at random with replacement. If the sum is even, find the probability that both the numbers are odd.
Concept: undefined >> undefined
A card is drawn from a well-shuffled pack of 52 cards. Consider two events A and B as
A: a club 6 card is drawn.
B: an ace card 18 drawn.
Determine whether the events A and B are independent or not.
Concept: undefined >> undefined
A bag contains 4 blue and 5 green balls. Another bag contains 3 blue and 7 green balls. If one ball is drawn from each bag, what is the probability that two balls are of the same colour?
Concept: undefined >> undefined
Two cards are drawn one after the other from a pack of 52 cards with replacement. What is the probability that both the cards drawn are face cards?
Concept: undefined >> undefined
Determine graphically the value of median, D3, and P35 for the data given below:
| Class | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 | 40 – 45 |
| Frequency | 8 | 14 | 8 | 25 | 15 | 14 | 6 |
Concept: undefined >> undefined
The I.Q. test of 500 students of a college is as follows:
| I.Q. | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 | 70 – 80 | 80 – 90 | 90 – 100 |
| Number of students | 41 | 52 | 64 | 180 | 67 | 45 | 40 | 11 |
Find graphically the number of students whose I.Q. is more than 55 graphically.
Concept: undefined >> undefined
Draw an ogive for the following distribution. Determine the median graphically and verify your result by mathematical formula.
| Height (in cms.) | No. of students |
| 145 − 150 | 2 |
| 150 − 155 | 5 |
| 155 − 160 | 9 |
| 160 − 165 | 15 |
| 165 − 170 | 16 |
| 170 − 175 | 7 |
| 175 − 180 | 5 |
| 180 − 185 | 1 |
Concept: undefined >> undefined
