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Data Handling

Question
CBSEENMA7000784

Find the range of heights of any ten students of your class.

Solution

Let the heights (in cm) of 10 students of our class be

125, 127, 132, 133, 134, 136,138, 141, 144, 146

Highest value among these observations = 146

Lowest value among these observations = 125

Range = Highest value − Lowest value

= (146 − 125) cm

= 21 cm

Question
CBSEENMA7000785

Find the mean of the first five whole numbers.

Solution

First five whole numbers are 0, 1, 2, 3, and 4.

Mean =0+1+2+3+45 = 105 = 2

Therefore, the mean of first five whole numbers is 2.

Question
CBSEENMA7000786

A cricketer scores the following runs in eight innings:

58, 76, 40, 35, 46, 45, 0, 100

Find the mean score.

Solution

Runs scored by the cricketer are 58, 76, 40, 35, 46, 45, 0, and 100.

Mean score = Total runs scored in all the inningsTotal number of the innings

Mean score = 58+76+40+35+46+45+0+1008 = 4008 = 50

Therefore, mean score is 50.

Question
CBSEENMA7000787

Following table shows the points of each player scored in four games:

Player

Game 1

Game 2

Game 3

Game 4

A

14

16

10

10

B

0

8

6

4

C

8

11

Did not play

13

Now answer the following questions:

(i) Find the mean to determine A’s average number of points scored per game.

(ii) To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?

(iii) B played in all the four games. How would you find the mean?

(iv) Who is the best performer?

Solution

(i) A’s average number of points =14+16+10+104 = 504=12.5

(ii) To find the mean number of points per game for C, we will divide the total points by 3 because C played 3 games.

(iii) Mean of B’s score =0+8+6+44=184=4.5

(iv) The best performer will have the greatest average among all. Now we can observe that the average of A is 12.5 which is more than that of B and C. Therefore, A is the best performer among these three.