Question

7 التاريخ الموضوع: Q11 select the correct answers 6 A students final grades in mathematics Physics English and Chemistry are respectively 82 86 90 and 70 If the respective Credits recived for these courses are 3, 5, 3 and 1 determine the mode & Select one 86 b. 90 c 7o e 82 f - so g. 78 d-87 = @ for the above data determine the Standerd deviation & select one a 4.8 b-6 с 5 d. 4.9 e 5.5 f st 6.2 . Determine the quartile (03) of the set 12.6 115, lo, 18, 5, 5, 6,6. 3, 6, 10, 61716 Select one c-3.9 f-9.3 g 44 5.4 7 POCOPHONE SHOT ON POCOPHONE F1

Answer 1

1.

The grades in Mathematics, Physics, English and Chemistry are respectively 82,86, 90 and 70

Respective credits received for this course is are 3, 5, 3 and 1

Here credits received for grade 86 is 5 which is maximum so it is mode of the data

Mode = 86

Ans.:- a. 86

2.

The actual data can be returned as

82, 82, 82, 86, 86, 86, 86, 86, 90, 90, 90,70

It is sample data so standard deviation is given by

Standard deviation = $\sqrt{\frac{1}{n-1}*\sum{(X_{i}-\bar{X})^{2}}}$

Here n= 12

$\bar{X}= \frac{1}{n}*\sum{X_{i}} = \frac{1}{12}*\sum{(82+82+ . . . + 70)}$

$\bar{X}= 8.6667$

Standard Deviation =  $=\sqrt{\frac{1}{11}*\sum{[(82-84.6667)^{2}+(82-84.6667)^{2}+...+(70-84.6667)^{2}]}}$

Standard Deviation =

V30.060606

Standard Deviation = 5.48 = 5.5

Ans.:- e. 5.5

3.

The data set is,

12, 6, 15, 10, 18, 5, 5, 6, 6, 3, 6, 10, 6, 7, 6

The given data in ascending order,

3 , 5, 5, 6, 6, 6, 6, 6, 6, 7, 10, 10, 12, 15, 18

Quartile(Q3) = 10-(3/4)= 10 - 0.75 = 9.25 = 9.3

Ans.:- f. 9.3