One hundred children were each asked to complete the jigsaw puzzle 'Swan Lake'. The time, taken to the nearest minute, by each child to complete the puzzle was recorded. Time (minutes) 1 – 4 5 – 8 9 – 12 13 – 16 17 – 20 21 – 24 25 – 28 Frequency 9 7 16 30 20 12 6 (a) Draw a histogram to represent these data. (b) A child was chosen at random. What is the probability that the: (i) Child completes the puzzle within 4 minutes? (ii) The child takes more than 20 minutes to complete the puzzle? (iii) The child takes 9 to 16 minutes? (c) What is the modal class of the distribution? (d) What is the median class of the distribution? (e) Estimate the mean time taken by the children to complete the puzzle.
Answers
Given : One hundred children were each asked to complete the jigsaw puzzle 'Swan Lake'. The time, taken to the nearest minute, by each child to complete the puzzle was recorded.
To find : (i) Child completes the puzzle within 4 minutes? (ii) The child takes more than 20 minutes to complete the puzzle? (iii) The child takes 9 to 16 minutes? (c) What is the modal class of the distribution? (d) What is the median class of the distribution?
Solution:
1 - 4 9 9
5 - 8 7 16
9-12 16 32
13-16 30 62
17-20 20 82
21-24 12 94
25 - 28 6 100
Total 100
probability that Child completes the puzzle within 4 minutes = 9/100 = 0.09
probability that Child takes more than 20 minutes = (12 + 6)/100 = 18/100 = 0.18
probability that Child takes 9 to 16 minutes = ( 16 + 30)/100 = 46/100 = 0.46
13 - 16 is Modal class highest frequency 30
13-16 median class (100/2 = 50 lies in 32 to 62)
as median & mode both are in 13 - 16 class
hence estimated mean is in 13 - 16
approx 14.5
Histogram: a graphical display of data using bars of different heights. It is similar to a Bar Chart, but a histogram groups numbers into ranges
Learn more:
in statistic if mode= 25,mean=25 then median =? - Brainly.in
https://brainly.in/question/2999272
prepare(1) a histogram and (2) frequency polygon based on the ...
https://brainly.in/question/8092254