Question

8) The median is equal to what quartile

a)Q1

b)Q3

c)None of these

d)Q2

22) Find the regression line for the given data. Make sure you use LinReg(a+bx) on your calculator.

x	1.2	1.4	1.6	1.8	2
y	54	53	55	54	56

a)Y=2x - 50.4

b)Y=50.4

c)Y=2.5x + 45

d)None of these

7) The number of cups of coffee sold in the library on nine consecutive days are below. Find the median.

85 79   110 98   68   94   122   10   86

a)72

b)70

c)24.5

d)55

e)86

Answer 1

Here the answer is given below,

8) The median of data set is Equal to second Quartile Q2.

Explanation : The median is the perticular value that divide the data into exactly two parts i.e 50% data to right and 50% data to left. Similarly second Quartile Q2 is divided data into two parts.

22) From the given data we computed the linear regression equation as below,

The independent variable is XX, and the dependent variable is YY. In order to compute the regression coefficients, the following table needs to be used:

	X	Y	X*Y	X2	Y2
	1.2	54	64.8	1.44	2916
	1.4	53	74.2	1.96	2809
	1.6	55	88	2.56	3025
	1.8	54	97.2	3.24	2916
	2	56	112	4	3136
Sum =	8	272	436.2	13.2	14802

Based on the above table, the following is calculated:

This is the calculation of regression equation with steps. As you can see the linear regression equation the correct option is D. None of these.

7) The median is calculated as below,

To calculate media first we have arrange the data in ascending order,

10 68 79 85 86 94 98 110 122

The formula for median is,

Median = (n+1)/2 th Obs.

= (9+1)/2 th obs

= 5th Obs.

Median = 86.

Option e is correct.

Thank you.