STATISTICAL DATA EXERCISE

STATICAL DATA EXERCISE :

Exercise 1 :

15 students estimated the area of the rectangle shown below.

The estimates , in square centimetres , were

 

                                                                  45 44 50 50 48 

24 50 46 43 50

48 20 45 49 47 

(i)                 Work out ,

a.       the mode                     b. the mean                              c. the median

Working :

(i)                 a. mode = 50

20 , 24 , 43 ,44, 45 , 45 , 46 , 47 , 48 , 48 ,  49 , 50 , 50 , 50 , 50.           

b.      Mean = 43.9

20 + 24 + 43 + 44 + 45 + 45 + 46 + 47 + 48 + 48 + 49 + 50 + 50 + 50 + 50.

                                                            15

           

c.       Median =  47

20 , 24 , 43 ,44, 45 , 45 , 46 , 47 , 48 , 48 ,  49 , 50 , 50 , 50 , 50

Exercise 2 :

The list show marks in an examination taken by a class of 10 students

65 , 51 , 35 , 34 , 12 , 51 , 50 , 75 , 48 , 39.

(i)                 Write down the mode.

(ii)              Work out the median.

(iii)            Calculate the mean.

Working :

(i)                 Mode = 51.

65 , 51 , 35 , 34 , 12 , 51 , 50 , 75 , 48 , 39.

(ii)              Median = 49

12 , 34 , 35 , 39 , 48 , 50 , 51 , 51 , 65 , 75.

48 + 50 = 49

     2

(iii)            Mean = 46

65 + 51 + 35 + 34 + 12 + 51 + 50 + 75 + 48  +39 = 460

460  = 46

        10