An elevator has a capacity of 401 kg . A total of 9 people enter it on the ground floor. Their weights in kg are tabulated below: A B C D E F G H I 60 20 88 42 73 20 98 13 91 Find the maximum number of persons who should exit for the elevator to work.

From the given, An elevator has a capacity of 401 kg . A total of 9 people enter it at the ground floor. As we can see the above given data, if we want the maximum number of persons who should exit for the elevator to work is 4 , and they are H , B , F and D , as they are people with the lowest weights. H's weight + B's weight + F's weight + D's weight = 13 kg + 20 kg + 20 kg + 42 kg = 95 kg The maximum number of persons who should exit for the elevator to work = ( The total weight of 9 persons) - ( H ' s weight + B ' s weight + F ' s weight + D ' s weight ) = 495 kg - 95 kg = 400 kg 400 kg < 401 kg → Maximum weight lift can carry. Thus, If we want the maximum number of persons who should exit for the elevator to work; i.e. H , B , F and D .

An elevator has a capacity of 401 kg . A total of 9 people enter it on the ground floor. Their weights in kg are tabulated below: A B C D E F G H I 60 20 88 42 73 20 98 13 91 I f the lift should carry maximum weight, who should exit?

From the given, An elevator has a capacity of 401 kg . A total of 9 people enter it at the ground floor. As we can see the above given data if we want the lift should carry maximum weight, persons who should exit for the elevator are H and I . Lift's maximum capacity = 401 kg The total weight of 9 persons = 495 kg Weight needed to be loaded off = ( The total weight of 9 persons) - ( Lift's maximum capacity ) ⇒ 495 kg - 401 kg = 94 kg Hence, if the lift should carry maximum weight then H and I should be needed to exit.

The following table shows the points scored out of 10 by each player in 4 trials: Player Trial 1 Trial 2 Trial 3 Trial 4 Sujoy 8 . 6 9 7 9 Devika 9 0 8 7 Jessica 9 . 3 8 . 3 9 Did not play Find the mean score of each player and identify the player whose performance is the best.

From the given, Player Trial 1 Trial 2 Trial 3 Trial 4 Sujoy 8 . 6 9 7 9 Devika 9 0 8 7 Jessica 9 . 3 8 . 3 9 Did not play We know that, Arithmetic mean is calculated by adding all the numbers in a given data set and then dividing it by the total number of items within that set. Mean = Sum of all observation Total number of observation Mean = Trial 1 + Trial 2 + Trial 3 + Trial 4 4 Mean score of Sujoy = 8 . 6 + 9 + 7 + 9 4 = 33 . 6 4 = 8 . 4 Mean score of Devika = 9 + 0 + 8 + 7 4 = 24 4 = 6 Mean score of Jessica = 9 . 3 + 8 . 3 + 9 3 = 26 . 6 3 = 8 . 86 Hence, the obtained mean of Sujoy's score is 8 . 4 , Devika's score is 6 and Jessica's score is 8 . 86 .

The following table shows the points scored out of 10 by each player in 4 trials: Player Trial 1 Trial 2 Trial 3 Trial 4 Sujoy 8 . 6 9 7 9 Devika 9 0 8 7 Jessica 9 . 3 8 . 3 9 Did not play If instead of mean, the value of median is taken as the criterion to decide the best player, will the result change?

We know that, Arithmetic mean is calculated by adding all the numbers in a given data set and then dividing it by the total number of items within that set. Mean = Sum of all observation Total number of observation Mean score of Sujoy = 8 . 6 + 9 + 7 + 9 4 = 33 . 6 4 = 8 . 4 Mean score of Devika = 9 + 0 + 8 + 7 4 = 24 4 = 6 Mean score of Jessica = 9 . 3 + 8 . 3 + 9 3 = 26 . 6 3 = 8 . 86 Median: The value of the middle-most observation obtained after arranging the data in ascending order is called the median of the data. Median of sujoy's score : 7 , 8 . 6 , 9 , 9 n = 4 which is even Median = 1 2 n 2 + n 2 + 1 th term Median = 1 2 4 2 + 4 2 + 1 th term = 1 2 2 nd term + 3 rd term ⇒ 1 2 8 . 6 + 9 = 17 . 6 2 = 8 . 8 Median of Devika's score: 0 , 7 , 8 , 9 n = 4 which is even ⇒ 1 2 7 + 8 = 15 2 = 7 . 5 Median of Jessica's score 8 . 3 , 9 , 9 . 3 ⇒ 9 Hence, the medians are 8 . 8 , 7 . 5 and 9 respectively. Therefore, Jessica still remains the best player.

The following table shows the points scored out of 10 by each player in 4 trials: Player Trial 1 Trial 2 Trial 3 Trial 4 Sujoy 8 . 6 9 7 9 Devika 9 0 8 7 Jessica 9 . 3 8 . 3 9 Did not play Can there be another method to find the best player? Discuss.

From the given, Player Trial 1 Trial 2 Trial 3 Trial 4 Sujoy 8 . 6 9 7 9 Devika 9 0 8 7 Jessica 9 . 3 8 . 3 9 Did not play We can decide the best player by comparing their scores obtained in each trial. Hence, yes, by comparing their highest scores can decide the best player.

Rahul Sofat Solutions for Chapter: Data Handling, Exercise 4: THINKING SKILLS

Author:Rahul Sofat

Rahul Sofat Mathematics Solutions for Exercise - Rahul Sofat Solutions for Chapter: Data Handling, Exercise 4: THINKING SKILLS

Attempt the free practice questions on Chapter 16: Data Handling, Exercise 4: THINKING SKILLS with hints and solutions to strengthen your understanding. START UP MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Rahul Sofat Solutions for Chapter: Data Handling, Exercise 4: THINKING SKILLS with Hints & Solutions

MEDIUM

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 16 - Data Handling>THINKING SKILLS>Q 3

An elevator has a capacity of $401 kg$ . A total of 9 people enter it on the ground floor. Their weights in $kg$ are tabulated below:

A	B	C	D	E	F	G	H	I
$60$	$20$	$88$	$42$	$73$	$20$	$98$	$13$	$91$

Find the mean to determine A's average number of points scored per game. (in $Kg$ ).

MEDIUM

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 16 - Data Handling>THINKING SKILLS>Q 3

An elevator has a capacity of $401 kg$ . A total of $9$ people enter it on the ground floor. Their weights in $kg$ are tabulated below:

A	B	C	D	E	F	G	H	I
$60$	$20$	$88$	$42$	$73$	$20$	$98$	$13$	$91$

If the lift should carry the maximum number of persons, who should exit?

MEDIUM

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 16 - Data Handling>THINKING SKILLS>Q 3

An elevator has a capacity of $401 kg$ . A total of $9$ people enter it on the ground floor. Their weights in $kg$ are tabulated below:

A	B	C	D	E	F	G	H	I
$60$	$20$	$88$	$42$	$73$	$20$	$98$	$13$	$91$

Find the maximum number of persons who should exit for the elevator to work.

MEDIUM

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 16 - Data Handling>THINKING SKILLS>Q 3

An elevator has a capacity of $401 kg$ . A total of $9$ people enter it on the ground floor. Their weights in $kg$ are tabulated below:

A	B	C	D	E	F	G	H	I
$60$	$20$	$88$	$42$	$73$	$20$	$98$	$13$	$91$

If the lift should carry maximum weight, who should exit?

MEDIUM

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 16 - Data Handling>THINKING SKILLS>Q 4

The following table shows the points scored out of $10$ by each player in $4$ trials:

Player	Trial $1$	Trial $2$	Trial $3$	Trial $4$
Sujoy	$8.6$	$9$	$7$	$9$
Devika	$9$	$0$	$8$	$7$
Jessica	$9.3$	$8.3$	$9$	Did not play

Find the mean score of each player and identify the player whose performance is the best.

HARD

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 16 - Data Handling>THINKING SKILLS>Q 4

The following table shows the points scored out of $10$ by each player in $4$ trials:

Player	Trial $1$	Trial $2$	Trial $3$	Trial $4$
Sujoy	$8.6$	$9$	$7$	$9$
Devika	$9$	$0$	$8$	$7$
Jessica	$9.3$	$8.3$	$9$	Did not play

If instead of mean, the value of median is taken as the criterion to decide the best player, will the result change?

EASY

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 16 - Data Handling>THINKING SKILLS>Q 4

The following table shows the points scored out of $10$ by each player in $4$ trials:

Player	Trial $1$	Trial $2$	Trial $3$	Trial $4$
Sujoy	$8.6$	$9$	$7$	$9$
Devika	$9$	$0$	$8$	$7$
Jessica	$9.3$	$8.3$	$9$	Did not play

Can there be another method to find the best player? Discuss.

MEDIUM

7th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 16 - Data Handling>THINKING SKILLS>Q 4

The following table shows the points scored out of $10$ by each player in $4$ trials:

Player	Trial $1$	Trial $2$	Trial $3$	Trial $4$
Sujoy	$8.6$	$9$	$7$	$9$
Devika	$9$	$0$	$8$	$7$
Jessica	$9.3$	$8.3$	$9$	Did not play

What is the mean score of the players in the third trial?

Rahul Sofat Solutions for Chapter: Data Handling, Exercise 4: THINKING SKILLS

Rahul Sofat Mathematics Solutions for Exercise - Rahul Sofat Solutions for Chapter: Data Handling, Exercise 4: THINKING SKILLS

Questions from Rahul Sofat Solutions for Chapter: Data Handling, Exercise 4: THINKING SKILLS with Hints & Solutions

Learn and Prepare for any exam you want !