Question

Question three

The results in Management examinations at ICU were as shown below:

63

65

67

68

69

70

71

72

74

75

x

If the mean of this data is 69

Calculate:

1. The value of x (2 marks)
2. Interquartile range (4 marks)
3. The intelligence of student was measured and using the ranking of 5 as excellent, 4 Very good, 3 Good 2 Average and 1 below average

The table below shows distribution of intelligence with grades:

Grades	63	65	67	68	69	70	71	72	74	75
Intelligence	1	1	1	1	3	3	4	4	5	5

4. Using Pearson’s product moment correlation coefficient determine the relation between grades and intelligence consider intelligence as independent variable (12 marks)
5. Define statistics (2 marks)

   Question three

   The results in Management examinations at ICU were as shown below:

   63

   65

   67

   68

   69

   70

   71

   72

   74

   75

   x

   If the mean of this data is 69

   Calculate:

6. The value of x (2 marks)
7. Interquartile range (4 marks)
8. The intelligence of student was measured and using the ranking of 5 as excellent, 4 Very good, 3 Good 2 Average and 1 below average

9. The table below shows distribution of intelligence with grades:

   Grades	63	65	67	68	69	70	71	72	74	75
   Intelligence	1	1	1	1	3	3	4	4	5	5

10. Using Pearson’s product moment correlation coefficient determine the relation between grades and intelligence consider intelligence as independent variable (12 marks)
11. Define statistics (2 marks)

Answer 1

SOI?:) Value of x ! - Mean = sum of all observations Total no. of obseri 69 = 63+ 65 +67+68+69+ 70- +74+75+7 : 69 = 69472 11 2 = 759 - 694 :. * - 65] i Interquartile Range. Arranging Data in order 68, 65, 67, 68, 69, 70, 71, 72, 74, 75, 63, 65, 65, 67, 68, 69, 70 ,71,72,74,75 - lower half n upper half The first quartile Q = 65 & the third quartile Q3 = 72 Interquartile Range (03-Q.) = 72-65 = 7

N = Ey qax = X = 699 69.4. - 23 - lo x= Grade Y = Intelligence.. x 491 229 ny y @ L !!ī ī. -ammus x= x - x y=Y-I 1 - 64 -1.8 150,94 3,24/ 1152 -4,4 -1.3 liq,221 3,25 7,92 -2.4 -los 15.76/3-24 4.32 - 1.4.1-1.8 1.96 3.24 12.52 Tuon 0.2 0.16 0.05 -0.03 0.6 0.210361 0.04 0.12 1.6 1.2 2.56 1.44 1.92 1.2 6.76/1145 | 3.12 4.6 1 2.2 21.164.89 1 10.12 1. 5.6 12.2./31.36 4.89 1.12.32 71 72 216 5 24 75 15

» Correlation wefficient rla,y) is VEz? 53.8 √130. 4 √25.6 53.8 (1):4192) (5,0596) = 0.931) Since r(wy) -0.9311 , the varicebles X and Y are positively correlated ie the relation between grades and intelligence are positiudy correlated.