Question 5 - Figure it out (Page 93-100) - Chapter 4 Class 6 - Data Handling and Presentation (Ganita Prakash)

Transcript

Question 5 (a) Faiz prepared a frequency distribution table of data on the number of wickets taken by Jaspreet Bumrah in his last 30 matches: (a) What information is this table giving? The table shows how many matches Jaspreet Bumrah played where he took a certain number of wickets, over his last 30 matches. Question 5 (b) (b) What may be the title of this table? "Number of Wickets Taken by Jaspreet Bumrah in his Last 30 Matches" Question 5 (c) (c) What caught your attention in this table? Answers will vary, but one might notice that the most frequent outcome was taking 3 wickets in a match – which is very consistent Question 5 (d) (d) In how many matches has Bumrah taken 4 wickets?In 3 matches, Bumrah has taken 4 wickets Question 5 (e) (e) Mayank says, “If we want to know the total number of wickets he has taken in his last 30 matches, we have to add the numbers 0, 1, 2, 3 …, up to 7.” Can Mayank get the total number of wickets taken in this way? Why?No, Mayank is incorrect. This method only sums the categories, not the total wickets. Question 5 (f) (f) How would you correctly figure out the total number of wickets taken by Bumrah in his last 30 matches, using this table?We need to multiply the wickets taken by the number of matches for each row and then add them all together: Total wickets = (0 × 2) + (1 × 4) + (2 × 6) + (3 × 8) + (4 × 3) + (5 × 5) + (6 × 1) + (7 × 1) = 0 + 4 + 12 + 24 + 12 + 25 + 6 + 7 = 90 wickets.