Page 299 - Start Up Mathematics_7

(a) Find the mean score of each player and identify the player whose performance is the best.

(b) If instead of mean, the value of median is taken as the criterion to decide the best player,
will the result change?
(c) Can there be another method to find the best player? Discuss.

(d) What is the mean score of the players in the third trial?

Values and Life Skills

1. Rohan exercises each day of the week. The duration of exercise in minutes is 30, 25, 40, 20,
25, 35, 56. Find the average number of minutes he exercises per day.
What is the importance of exercise in our daily routine?

2. An architect has 6 weeks to prepare a design and outlay the plan of a mall. He spends 19, 22,
21, 14, 16 and 10 hours over the period of 6 weeks. What is the average number of hours per
week the architect spends on his work?
What is the importance of time management in completing a task?

Some NCERT Textbook Questions

1. Organise the following marks in a class assessment, in a tabular form.
4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

(i) Which number is the highest? (ii) Which number is the lowest?
(iii) What is the range of the data? (iv) Find the arithmetic mean.
2. 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?
3. The heights of 10 girls were measured in cm and the results are as follows:

135, 150, 139, 128, 151, 132, 146, 149, 143, 141.
(i) What is the height of the tallest girl? (ii) What is the height of the shortest girl?

(iii) What is the range of the data? (iv) What is the mean height of the girls?
(v) How many girls have heights more than the mean height.

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