Case Study Based- 4

100m RACE

A stopwatch was used to

find the time that it took a

group of students to run 100 m.

 

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  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 20 Case Study Based- 4 100m RACE A stopwatch was used to find the time that it took a group of students to run 100 m. (a) Estimate the mean time taken by a student to finish the race. (i) 54 (ii) 63 (iii) 43 (iv) 50 Mean(๐‘ฅ ฬ…) = (โˆ‘โ–’๐’‡๐’Š๐’™๐’Š)/(โˆ‘โ–’๐’‡๐’Š) = 1720/40 = 43 Mean time is 43 (b) What wiil be the upper limit of the modal class ? (i) 20 (ii) 40 (iii) 60 (iv) 80 Modal class is class with highest frequency โˆด 40 โˆ’ 60 is the modal class And Upper limit = 60 (c) The construction of cummulative frequency table is useful in determining the (i) Mean (ii) Median (iii) Mode (iv) All of the aboveCummulative frequency table is used to find the Median (d) The sum of lower limits of median class and modal class is (i) 60 (ii) 100 (iii) 80 (iv) 140 Modal class is class with highest frequency โˆด 40 โˆ’ 60 is modal class To find Median Class, We find cummulative freqeuncy ๐‘›/2=40/2 = 20 โˆด 40 โˆ’ 60 has cummulative frequency greater than 20 Thus, 40 โˆ’ 60 is the Median Class โˆด Sum of Lower Limits of Median class and Modal class = 40 + 40 = 80 (e) How many students finished the race within 1 minute? (i) 18 (ii) 37 (iii) 31 (iv) 8 Students finished the race within 1 minute = Students between 0 โˆ’ 20 + Students between 20 โˆ’ 40 + Students between 40 โˆ’ 60 = 8 + 10 + 13 = 31

About the Author

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.