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Which of the following variables are quantitative and which are qualitative. Classify the
quantitative as discrete or continuous and qualitative as nominal or ordinal:
a. Annual income (dollar)
b. Body temperature (degree Celsius)
c. White blood cells per deciliter of whole blood.
d. Presence of type II diabetes mellitus (yes or no)
e. Infant’s condition: Excellent, Good, and Poor
you have to make 44 out of 6;7;8;and 9 each number has to exactly once and you are allowed only with the four basic operations (addition,substrction,multiplication,and division)you may use the same operators more than once
in a triangle ABC the lengths of the sides, in cm, are AB=c BC=a AC=b the angle ACB=120 show that c^2=a^2+b^2+ab
23 Let A and B be subsets of a universal set U. Prove the following.
(a). A\B = (U\B) \(U\A)
Q2. (a) Under what circumstances would you consider the coefficient of variation to be
more useful than the standard deviation in comparing variability of two or more distributions?
(b) You run businesses in different parts of the World. Data available to you indicate that your businesses in Japan, USA, and Nigeria are underperforming. You have become so risk-averse that you plan to close two of the three businesses in Japan, USA and Nigeria.
Which of the two will you close if all the data available to you is as shown below?
Monthly Profits of My Businesses in Three Countries
Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Japan (¥’000)
12
108
-18
25
37
270
370
190
28
25
15
10
USA ($’000)
-20
291
10
5
120
110
12
-50
21
-29
-37
5
Nigeria (N’000)
-110
-105
20
49
100
150
60
38
20
10
10
2
Q1. The following scores were obtained by 70 students in a Statistics Examinations
77 68 70 84 68 38 72 82 86 22
66 90 87 53 13 39 28 16 7 38
39 23 50 33 30 64 10 84 49 17
15 79 37 92 8 30 96 8 62 64
25 87 45 96 78 69 40 89 48 41
60 28 99 19 15 95 96 49 8 6
49 14 57 96 97 81 13 55 95 89
(a) Using Sturge’s Approximation, the number of classes K, of the above data is estimated to the nearest integer by the formula:
Use this to construct a grouped frequency distribution with the least lower limit of 5 for the data above.
(b) Draw a histogram for the distribution and use it to determine: (i) the mode
(ii) the three quartiles and hence an appropriate coefficient of skewness.
(c) Use the frequency distribution in (b) to calculate the:
(i) mean (ii) mode
(iii) median
(iv) standard deviation
(v) coefficient of variation
WELL THE QUESTION IS (USING "A SQUARE +B SQUARE+C SQUARE" ,FIND THE LENGTH OF THE HYPOTENUSE OF THE TRIANGLE BELOW. SO, THE TRIANGLE HAS A=120 ,B=90 AND C=? SO WHAT THE ANSWER WOULD BE "C"?
|v-2| =-5
A problem of statistics is given to 3 students A,B & C whose chances of solving it are 1/2,1/3 & 1/4 respectively.what is the probabilty that the problem can be solved?
differentiate f(x)=e^((1/2)x+cosx)
