Data Handling Test

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Data Handling Test - 8

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Weekly Quiz Competition

Question 1

1 / -0

Directions: Study the following table and answer the question below.

The table shows the production of cycles of three different brands for six days.

Days	Hero Cycles	Avon Cycles	Atlas Cycles
Monday	121	85	60
Tuesday	110	80	65
Wednesday	125	90	55
Thursday	122	92	60
Friday	105	93	70
Saturday	95	100	70

What is the difference between the average daily production of cycles by Avon Cycles and Hero Cycles?

10

13

23

33 Solution

Average daily production of Hero Cycles = = = 113
Now, average daily production of Avon Cycles = = = 90
So, required difference = 113 - 90 = 23

Question 2

1 / -0

Directions: Study the following table and answer the question below.

The table shows the production of cycles of three different brands for six days.

Days	Hero Cycles	Avon Cycles	Atlas Cycles
Monday	121	85	60
Tuesday	110	80	65
Wednesday	125	90	55
Thursday	122	92	60
Friday	105	93	70
Saturday	95	100	70

What is the total production of all three brands of cycles over the given period?

1598

1452

1356

1245

Solution

Total production over the given period:
For Hero Cycles = 121 + 110 + 125 + 122 + 105 + 95 = 678
For Avon Cycles = 85 + 80 + 90 + 92 + 93 + 100 = 540
For Atlas Cycles = 60 + 65 + 55 + 60 + 70 + 70 = 380
Total = 678 + 540 + 380 = 1598

Question 3

1 / -0

Directions: The below question consists of a statement followed by 3 questions. Find the correct match for these questions from the table given below.

Statement:
The heights of 10 trees were measured (in cm) and the data is as follows: 1460, 1480, 1500, 1540, 1530, 1580, 1490, 1360, 1650, 1530.

(i) What is the range of the data?
(ii) What is the mean height of the trees?
(iii) How many trees have height less than the mean height?

	i	ii	iii
A	280	1490	4
B	290	1512	5
C	300	1520	3
D	320	1530	2

A

B

C

D

Solution

Arranging the heights of trees in ascending order:
1360, 1460, 1480, 1490, 1500, 1530, 1530, 1540, 1580, 1650
Range = Maximum value - Minimum value
= 1650 - 1360 = 290

Mean =
= 1512

Number of trees which have height less than the mean height = 5

Question 4
1 / -0

121, 126, 126, 136, 139, 157, 139, 168, 126

The mode and median of the above data, respectively, are

A
126 and 136

B
136 and 126

C
126 and 126

D
136 and 136

Solution

Mode is the most frequently occurring value in the data.
126 is the most frequently occurring value.
Also, on arranging the data in ascending order, we get:
121, 126, 126, 126, 136, 139, 139, 157, 168
Since there are 9 terms in the data, so:

Median = = 5^th term = 136
Question 5
1 / -0

Rahul was measuring the weights of 40 students in a class. The mean weight came out to be 38 kg. However, he realised that he had read weight of one of the students as 45, instead of 54. What would be the correct mean of the observation?

A
39.35 kg

B
41.40 kg

C
40.23 kg

D
38.22 kg

Solution

Incorrect mean weight of 40 students = 38 kg
Incorrect sum of weights = 40 x 38 = 1520 kg
Correct sum of weights = 1520 + 54 - 45 = 1529
So, correct mean = = 38.22 kg
Question 6
1 / -0

If the mean of the following observations is 70, then what is the value of a?

68, 70, 72, a, 74, 76

A
60

B
62

C
64

D
66

Solution

Mean = =

420 = 360 + a
a = 60

Question 7

1 / -0

The mode of the following distribution is _________.

Size	10	11	12	13	14	15	16
Frequency	12	10	15	16	14	12	10

16

13

15

14 Solution

Mode is the observation which has the highest frequency.
Among the observations, 13 has the highest frequency = 16.
So, mode = 13.

Question 8
1 / -0

The mean of 12 numbers is 240. If one more number is included, then the mean becomes 260. What is the new number?

A
400

B
450

C
500

D
550

Solution

Let the new number be x.

= 240
Sum of 12 numbers = 240 x 12 = 2880

Now,

2880 + x = 3380
x = 500
Question 9
1 / -0

The following data shows the number of marbles in different boxes:

123, 154, 126, 163, 189, 120, 90, 165, 170, 175

What is the median of the above data?

A
158.5

B
160

C
162

D
163.5

Solution

Arranging the given numbers in ascending order, we get:
90, 120, 123, 126, 154, 163, 165, 170, 175, 189
There are 10 terms. That means the number of terms is even, so:
Median = Average of 5^th and 6^th terms

= = 158.5
Question 10
1 / -0

Directions: Study the given information and answer the following question.

The graph below shows the sales of six different brands of chocolates over a given period of time.

Which brand of chocolate has the highest sales?

A
Perk

B
Munch

C
Milkybar

D
Gems

Solution

Perk has the highest sales, i.e. around 75 chocolates.
Question 11
1 / -0

Directions: Study the given information and answer the following question.

The graph below shows the sales of six different brands of chocolates over a given period of time.

What are the average sales of all 6 chocolate brands?

A
52.5

B
53.5

C
47.5

D
34.5

Solution

Average sales = = = 52.5
Question 12
1 / -0

Directions: Study the given information and answer the following question.

The graph below shows the sales of six different brands of chocolates over a given period of time.

By what percent are the sales of 5star more than the sales of Milkybar?

A
30%

B
50%

C
37%

D
40%

Solution

Sales of 5star = 60
Sales of Milkybar = 40
Difference between sales of 5star and Milkybar = 60 - 40 = 20
Required percentage = = 50%
Question 13
1 / -0

Directions: Study the given information and answer the following question.

The graph below shows the sales of six different brands of chocolates over a given period of time.

The ratio of sales of Perk to sales of Milkybar is

A
13 : 5

B
15 : 8

C
5 : 2

D
None of these

Solution

Sales of Perk = 75
Sales of Milkybar = 40
Required ratio = 75 : 40 = 15 : 8
Question 14
1 / -0

Directions: Study the graph below and answer the following question.

The graph shows the admissions of students in different schools in 2018.

In which school was the admission of girls the highest?

A
MTS

B
BCM

C
KVM

D
KCM

Solution

The admission of girls was the highest in MTS, i.e. 85 students.
Question 15
1 / -0

Which of the following statement is CORRECT?

A
Mean of the data cannot be different from one of the values in the data.

B
Median is always the middle value in the data, even if it is not arranged in ascending order.

C
The most frequently occurring value is called mode.

D
The probability of an event can be greater than 1.

Solution

1. Mean of the data can be different from one of the values in the data, as it is the average.
2. Median is always the middle value when the data is arranged in ascending order, and the mean of the middle two values if the number of values is even.
3. The most frequently occurring value is called mode.
4. Probability is never greater than 1.
Question 16
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The favourite holiday destinations of a group of 40 people are:
A, B, B, D, E, E, D, C, D, C, B, D, E, B, E, E, C, D, B, A, E, D, C, B, E, D, A, C, D, A, E, B, D, A, C, E, E, B, E, C

Here, A = Assam
B = Kashmir
C = Kerala
D = Australia
E = Canada

Which holiday destination has been selected by the highest number of people?

A
Canada

B
Australia

C
Kerala

D
Kashmir

Solution

Number of people who like Assam = 5
Number of people who like Kashmir = 8
Number of people who like Kerala = 7
Number of people who like Australia = 9
Number of people who like Canada = 11
Question 17
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Sameer collected data on daily wages (in Rs.) of workers and made the following table:

A worker is selected randomly from them. The probability of selection of a worker whose daily wages are the least is

A
0.24

B
0.36

C
0.48

D
0.60

Solution

Total number of workers = 22 + 23 + 27 + 18 = 90
Workers with the least wages = 22

So, required probability =
Question 18
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Vaneet has some cards and he writes the multiples of 3 up to 100 on the cards, one number per card. If one card is drawn at random, then what is the probability that the card drawn contains a multiple of 12?

A

B

C

D

Solution

The multiples of 3 up to 100 are:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99
Total number of cards = 33
Among them, multiples of 12 are:
12, 24, 36, 48, 60, 72, 84, 96
Multiples of 12 = 8
Required probability =
Question 19
1 / -0

There are 20 marbles in a bag. 8 of these are red, 7 are yellow, and the rest are blue.

Find the probability that a marble drawn is not blue.

A

B

C

D

Solution

Total number of marbles = 20
Red + Yellow marbles = 15
So, blue marbles = 20 - 15 = 5
Probability of drawing a blue marble = =
Probability of not drawing a blue marble =
Question 20
1 / -0

A die has numbers 11-16 written on its different faces. What is the probability of getting an even number on a single roll of the die?

A

B

C

D

Solution

Number of favourable outcomes = 12, 14, 16 = 3
Total number of possible outcomes = 6

So, required probability =
Question 21
1 / -0

Directions: Study the given information and answer the following question.

The following graph shows the number of cars sold by a company in different years:

How many more cars were sold in 2010 than in 2008?

A
1000

B
2500

C
2600

D
2800

Solution

Number of cars sold in 2010 = 17,500
Number of cars sold in 2008 = 15,000
Difference = 17,500 - 15,000 = 2500
So, there were 2500 more cars sold in 2010 than in 2008.
Question 22
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Heights (in cm) of different students of a class are:

170, 169, 169, 168, 171, 170, 168, 169, 166

Which of the following is true?

A
Mean = Median

B
Median = Mode

C
Median < Mean

D
Median > Mode

Solution

Total height of all the students = 170 + 169 + 169 + 168 + 171 + 170 + 168 + 169 + 166 = 1520
Mean = 1520 ÷ 9 = 168.89 cm
Arranging the data in ascending order, we get:
166, 168, 168, 169, 169, 169, 170, 170, 171
Median = Value exactly in the middle after arranging in ascending order = 169 cm
Mode is the observation that occurs most frequently, that is, 169 cm.
Question 23
1 / -0

Directions: Study the given information and answer the following question.

The following graph shows the numbers of a particular book sold by a shopkeeper in different months:

If the price of the book was Rs. 150, then how much money did the shopkeeper make in April?

A
Rs. 4230

B
Rs. 5100

C
Rs. 5250

D
Rs. 6000

Solution

Number of books sold in April = 40
Price of one book = Rs. 150
Total money made in April = 150 x 40 = Rs. 6000
Question 24
1 / -0

Directions: Study the given information and answer the following question.

The following graph shows marks of 5 students in 2 different tests:

Find the difference between Payal's marks in test 2 and the average marks of all 5 students in test 1.

A
10

B
15

C
25

D
35

Solution

Marks of Payal in test 2 = 80
Average marks of all 5 students in test 1 =
Difference = 80 - 55 = 25
Question 25
1 / -0

Directions: Study the given information and answer the following question.

The following graph shows the numbers of males and females who go to a gym on different days of a week.

What is the ratio of total number of females who go to the gym in a week to the total number of males who go to the gym on Friday?

A
13:2

B
13:1

C
15:1

D
4:1

Solution

Total number of females who go to the gym everyday = 15 + 15 + 20 + 25 + 40 + 15 = 130
Number of males who go to the gym on Friday = 20
Ratio = 130 : 20 = 13 : 2