Question

(b) Table 1.1 shows the frequency distribution of time taken, to the nearest minutes, by all 25 children in completing an animal block jigsaw puzzle. Table 1.1 Time taken (minutes) | Number of children 5 - 9 | 3 10 - 14 | 6 15 - 19 | 7 20 - 24 | 5 25 - 29 | 4 (i) Calculate the mean and interpret it. (3 marks) (ii) Prepare a cumulative frequency table and draw a "less than" ogive for this distribution. (5 marks) (iii) From the ogive drawn in Q1. (b) (ii), estimate the median. (2 marks) (iv) Given that the mode is 16.2 minutes, comment on the skewness of the distribution and justify your answer. (2 marks) (v) If 20% of the children take more than y minutes to complete the animal block jigsaw puzzle, find the value of y. (3 marks)

          (b) Table 1.1 shows the frequency distribution of time taken, to the nearest minutes, by all 25 children in completing an animal block jigsaw puzzle.

Table 1.1
Time taken (minutes) | Number of children
5 - 9 | 3
10 - 14 | 6
15 - 19 | 7
20 - 24 | 5
25 - 29 | 4

(i) Calculate the mean and interpret it. (3 marks)
(ii) Prepare a cumulative frequency table and draw a "less than" ogive for this distribution. (5 marks)
(iii) From the ogive drawn in Q1. (b) (ii), estimate the median. (2 marks)
(iv) Given that the mode is 16.2 minutes, comment on the skewness of the distribution and justify your answer. (2 marks)
(v) If 20% of the children take more than y minutes to complete the animal block jigsaw puzzle, find the value of y. (3 marks)

(b) Table 1.1 shows the frequency distribution of time taken, to the nearest minutes, by all 25 children in completing an animal block jigsaw puzzle.

Table 1.1
Time taken (minutes) | Number of children
5 - 9 | 3
10 - 14 | 6
15 - 19 | 7
20 - 24 | 5
25 - 29 | 4

(i) Calculate the mean and interpret it. (3 marks)
(ii) Prepare a cumulative frequency table and draw a "less than" ogive for this distribution. (5 marks)
(iii) From the ogive drawn in Q1. (b) (ii), estimate the median. (2 marks)
(iv) Given that the mode is 16.2 minutes, comment on the skewness of the distribution and justify your answer. (2 marks)
(v) If 20% of the children take more than y minutes to complete the animal block jigsaw puzzle, find the value of y. (3 marks)

Added by Francisca C.

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