Question

A 100 m race was organised in a school sports meet.The time was recorded with the help of stopwatch.
The table shown describes the time in which race was finished by the number of students
Time(in sec ) 0-20. 20-40. 40-60 60-80 80-100
No of students 6 13 10 3 8
1) what will be the lower limit of modal class?
2)the average time taken by the student to finish the race?
The cumulative frequency table is constructed to determine??​

Answer 1

Step-by-step explanation:

Given:

A 100 m race was organised in a school sports meet.The time was recorded with the help of stopwatch.

The table shown describes the time in which race was finished by the number of students.

$\begin{array}{|c|c|}</p><p>\cline{1-2} Time(in\:sec)&No.\:of\:students\\</p><p>\cline{1-2}0-20&6\\</p><p>\cline{1-2}20-40&13\\</p><p>\cline{1-2}40-60&10\\</p><p>\cline{1-2}60-80&3\\</p><p>\cline{1-2}80-100&8\\</p><p>\cline{1-2}\end {array}$

To find:

1) what will be the lower limit of modal class?

2)the average time taken by the student to finish the race?

3)The cumulative frequency table is constructed to determine?

Solution:

1) what will be the lower limit of modal class?

Ans: Highest frequency class is being modal class.

Highest frequency is 13.

Modal class is 20-40.

Lower limit of modal class is 20.

2)The average time taken by the student to finish the race?

Ans:

$\begin{array}{|c|c|c|c|}</p><p>\cline{1-4} Time(in sec)&No.\:of\:students& x_i&x_if_i\\</p><p>\cline{1-4}0-20&6& 10&60\\</p><p>\cline{1-4}20-40&13& 30&390\\</p><p>\cline{1-4}40-60&10&50&500\\</p><p>\cline{1-4}60-80&3&70&210\\</p><p>\cline{1-4}80-100&8&90&720\\</p><p>\cline{1-4}Total&40&&1880\\</p><p>\cline{1-4}\end {array}$

$\boxed{Average = \frac{ \Sigma \: x_if_i}{ \Sigma \: f_i} }\\ \\ Average = \frac{1880}{40} \\ \\ \bold{Average = 47\:seconds}$

3)The cumulative frequency table is constructed to determine?

Ans: The cumulative frequency table is constructed to determine median of the data.

Hope it helps you.

To learn more on brainly:

1)Find the mean of the following distribution:

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20

25

Frequency

1

8

12

11

7

3

https://brainly.in/question/18376694

Answer 2

Step-by-step explanation:

100 m Race was organized in a school sports meet. The time was recorded with the

help of a stopwatch.

A table shown below describes the time in which the race was finished by the number of

students -

Based on the above data answer the questions-:

i) What will be the lower limit of the modal class?

a) 30 b) 40 c) 60 d) 20

ii) The average time taken by the student to finish the race is –

a)40 b)47 c) 50 d)30

iii) The cumulative frequency table is constructed to determinea) Mean b) Mode c) Median d) All of the above

iv)

v)

How many students finished the race within 1 minutea)30 b) 40 c)19 d)29

The empirical relationship between the measures of central

tendency isa)3 Median = 2 Mean + 2 Mode b) 3 Median = Mode

c) 3 Median = 2 mean + mode d) Median = Mean + Mode