EduSahara™ Worksheet

Question 1

1.

Heights of 15 students are given below. Find the median.

Height (in cm)

131

136

137

143

159

160

170

171

No. of students

1

1

1

2

2

2

3

3

(i)

160

cm
(ii)

161

cm
(iii)

158

cm
(iv)

162

cm
(v)

159

cm

Question 2

2.

In a class test, the marks obtained by
8
students are

31

39

37

40

40

16

15

42

Find the lower quartile.

(i)

32

1
2
(ii)

27
(iii)

16
(iv)

24
(v)

12

Question 3

3.

The marks obtained by 12 students in a test are given below. Find their mode marks.

34

1

16

1

50

20

47

12

18

7

49

42

(i)

0
(ii)

2
(iii)

1
(iv)

4
(v)

-1

Question 4

4.

The following ogive shows the daily wages of workers in a factory. Estimate the upper quartile.

(i)

₹203.86
(ii)

₹193.86
(iii)

₹201.36
(iv)

₹198.86
(v)

₹196.36

Question 5

5.

A histogram with data is given below.

Find the mode
.

(i)

27.96
(ii)

25.46
(iii)

26.71
(iv)

24.21
(v)

22.96

Question 6

6.

The observations of an ungrouped data are
x

1
,
x

2
,
2x

1
and
x

1
<
x

2
<
2x

1
.

If the mean and median of the data are equal to
15
,

find the observations of the data

(i)
11

,

15

,

22
(ii)
10

,

15

,

20
(iii)
20

,

15

,

40
(iv)
14

,

15

,

24

Question 7

7.

Wages of 20 labourers are given below. Find the median.

Wage (in rupees)

321

324

346

384

424

455

482

497

No. of labourers

5

2

1

3

1

5

1

2

(i)

₹

383.00
(ii)

₹

386.00
(iii)

₹

384.00
(iv)

₹

382.00
(v)

₹

385.00

Question 8

8.

If the sum of the following frequency distribution is
24
,

find the value of 'x'.

Value

Frequency

3

2

4

4

5

x

6

3

8

1

9

1

10

1

11

3

12

2

13

2

14

2

(i)

3
(ii)

6
(iii)

4
(iv)

2
(v)

1

Question 9

9.

The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the upper quartile.

(i)

58.04 years
(ii)

63.04 years
(iii)

55.54 years
(iv)

53.04 years
(v)

60.54 years

Question 10

10.

Daily wages of 35 labourers (in ₹) are shown in the given ogive.

(i)

29
(ii)

32
(iii)

34
(iv)

35
(v)

30

Question 11

11.

Find the median of the first 20 odd numbers.

(i)

18
(ii)

20
(iii)

19
(iv)

21
(v)

23

Question 12

12.

The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the lower quartile.

(i)

24.38 years
(ii)

25.62 years
(iii)

29.38 years
(iv)

28.12 years
(v)

26.88 years

Question 13

13.

The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the median.

(i)

31.46 years
(ii)

33.96 years
(iii)

28.96 years
(iv)

32.71 years
(v)

30.21 years

Question 14

14.

The scores obtained by 14 students in a test are given below. Find the median.
17

13

7

19

8

19

7

12

19

10

6

19

12

9

(i)

12

9
14
(ii)

13
(iii)

6
(iv)

19
(v)

12

Question 15

15.

In a class test, the marks obtained by
10
students are

18

20

41

49

12

30

36

19

36

30

Find the semi-inter quartile range.

(i)

29

1
10
(ii)

18

1
2
(iii)

36
(iv)

17

1
2
(v)

8

3
4

Question 16

16.

The weights of
100
persons in a group are shown below.

Find the modal class

(i)

75

-

80
(ii)

70

-

75
(iii)

50

-

55
(iv)

60

-

65
(v)

40

-

45

Question 17

17.

The daily wages of
95
workers in a factory are given below.

Find the modal class

(i)

345

-

360
(ii)

360

-

375
(iii)

300

-

315
(iv)

315

-

330
(v)

330

-

345

Question 18

18.

Heights of 26 students are given below. Find the interquartile.

Height (in cm)

131

134

144

147

151

160

164

166

168

172

No. of students

1

3

3

2

1

2

7

3

2

2

(i)

23
(ii)

22
(iii)

21
(iv)

20
(v)

19

Question 19

19.

The marks obtained by certain students in a mathematics examination are given below. Estimate the median.

(i)

51.83
(ii)

49.33
(iii)

56.83
(iv)

59.33
(v)

54.33

Question 20

20.

The following ogive shows the daily wages of workers in a factory. Estimate the lower quartile.

(i)

₹168.33
(ii)

₹173.33
(iii)

₹163.33
(iv)

₹170.83
(v)

₹165.83

Question 21

21.

Ages of 12 students (in years) are given below. Find the mode age.

15

15

13

11

12

10

11

12

11

15

15

15

(i)

13

years
(ii)

15

years
(iii)

16

years
(iv)

17

years
(v)

14

years

Question 22

22.

Emperical relation between Mean, Median and Mode is

(i)

Mode = 3Median + 2Mean
(ii)

Mode = 3Median - 3Mean
(iii)

Mode = 2Median - 3Mean
(iv)

Mode = 3Median - 2Mean

Question 23

23.

Find the median of all the factors of 20.

(i)

5
(ii)

17
4
(iii)

9
2
(iv)

7
2
(v)

11
2

Question 24

24.

Temperatures of 66 days (in °C) are shown in the given ogive.

(i)

9
(ii)

4
(iii)

5
(iv)

7
(v)

10

Question 25

25.

The marks obtained by
80
students in an examination are shown in the given ogive.

Find the number of students who obtained
less
than
105
marks in examination.

(i)

81
(ii)

78
(iii)

80
(iv)

82
(v)

79

Assignment Key