Question 18 of 22intermediate🔍 AnalyzeShort Answer6 marks

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?

Answer

This table gives information about the number of wickets taken by Jaspreet Bumrah in each of his last 30 cricket matches. It shows how many matches he took 0 wickets, 1 wicket, 2 wickets, and so on up to 7 wickets.

(b)

What may be the title of this table?

Answer

A suitable title for this table would be 'Number of Wickets Taken by Jaspreet Bumrah in His Last 30 Matches' or 'Bumrah's Wicket-Taking Performance in Last 30 Matches'.

(c)

What caught your attention in this table?

Answer

Several observations can catch attention: Bumrah took 3 wickets most frequently (8 matches), he took 5 or more wickets in 7 matches which shows excellent performance, and he never went wicketless in most matches (only 2 matches with 0 wickets). His performance appears consistent with a preference for taking 2-3 wickets per match.

(d)

In how many matches has Bumrah taken 4 wickets?

Answer

Bumrah has taken 4 wickets in 3 matches.

(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?

Answer

No, Mayank cannot get the total number of wickets by simply adding 0+1+2+3+4+5+6+7. This would give the sum of different wicket-taking possibilities, not the actual total wickets. To find the total wickets, we need to multiply each wicket number by its frequency and then add: (0×20 \times 2) + (1×41 \times 4) + (2×62 \times 6) + (3×83 \times 8) + (4×34 \times 3) + (5×55 \times 5) + (6×16 \times 1) + (7×17 \times 1).

(f)

How would you correctly figure out the total number of wickets taken by Bumrah in his last 30 matches, using this table?

Answer

To find the total wickets: Multiply each wicket count by its frequency and add all products. Total = (0×20 \times 2) + (1×41 \times 4) + (2×62 \times 6) + (3×83 \times 8) + (4×34 \times 3) + (5×55 \times 5) + (6×16 \times 1) + (7×17 \times 1) = 0 + 4 + 12 + 24 + 12 + 25 + 6 + 7 = 90 wickets in 30 matches.

Explanation

(a) The frequency distribution table shows the relationship between wickets taken (categories) and number of matches (frequency). (b) A good title clearly describes what data the table contains. (c) This question encourages students to analyze and interpret data patterns, noticing trends and notable features in the frequency distribution. (d) Reading directly from the table, the frequency corresponding to 4 wickets is 3 matches. (e) The chapter emphasizes understanding what frequency tables represent. Each row shows a category (wickets) and its frequency (matches). The total wickets requires multiplying each wicket count by the number of matches where that count occurred. (f) This is the correct method: sum of (value × frequency) for all categories. This gives the total count of the variable across all observations.