Grouped Frequency Distribution Table

Q.

In a frequency distribution, the class-width is 4 and the lower limit of first class is 10. If there are six classes, the upper limit of last class is

1. 26

2. 34

3. 32

4. 30

Q. In a frequency distribution, the mid-value of a class is 15 and the class intervals is 4. The lower limit of the class is

(a) 10

(b) 12

(c) 13

(d) 14

Q.

The width of each of five continuous classes in a frequency distribution is 5 and the lower class - limit of the lowest class is 10.

Find the upper class - limit of the highest class.

1. 15

2. 25

3. 35

4. 40

Q. The class marks of a frequency distribution are
26, 31, 36, 41, 46, 51.
Find the true class limits.

Q. In the class intervals 10−20, 20−30, the number 20 is included in
(a) 10−20
(b) 20−30
(c) in each of 10−20 and 20−30
(d) in none of 10−20 and 20−30

Q. The class marks of a frequency distribution are 47, 52, 57, 62, 67, 72, 77. Determine the (i) class size (ii) class limits with respect to the class mark 52 (iii) true class limits for class mark 52.

Q. As per the histogram, The number of students having height between 155 cm and 135 cm is

1. 66
2. 60
3. 70

Q. Represent the following data into a frequency distribution table.
𝟏𝟓 𝟏𝟎 𝟏𝟔 𝟗 𝟕 𝟖 𝟗
𝟏𝟎 𝟏𝟓 𝟏𝟎 𝟖 𝟒 𝟕 𝟖

Q. The width of each of nine classes in a frequency distribution is 2.5 and the lower class boundary of the lowest class 10.6. Then the upper class boundary of the highest class is

(a) 35.6

(b) 33.1

(c) 30.6

(d) 28.1

Q. The monthly wages of 30 workers in a factory are given below:

83.0, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.

Represent the data in the form of a frequency distribution with class size 10.

Q. Following data gives the number of children in 40 families:
1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.

Represent it in the form of a frequency distribution.

Q. What is the probability that a number selected at random from the numbers 1, 2, 3, …, 15 would be a multiple of 4?

1. $\frac{1}{3}$
2. $\frac{2}{15}$
3. $\frac{4}{15}$
4. $\frac{1}{5}$

Q. Tally marks are used to find frequency for a data set.

1. True
2. False

Q. The class marks of a frequency distribution are 15, 20, 25, 30, .. . The class corresponding to the class marks 20 is
(a) 12.5−17.5
(b) 17.5−22.5
(c) 18.5−21.5
(d) 19.5−20.5

Q. The width of each of the five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper class limit of the highest class is
(a) 45
(b) 25
(c) 35
(d) 40

Q. Tally marks are used to find frequency for a data set.

1. True
2. False

Q. Look at the table given below:

Marks	0−10	11−20	21−30	31−40
No. of students	6	9	11	4

The true lower limit of the class 21−30 is
(a) 21
(b) 20
(c) 20.5
(d) 21.5

Q.

The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper class limit of the highest class is

1. 40
2. 15
3. 35
4. 25

Q. Children were asked about the number of hours they play, and the responses have been recorded as follows.
$\begin{array}{cc}No.ofhours& No.ofchildren\\ 0-2& 7\\ 2-4& 11\\ 4-6& 15\\ 6-8& 9\\ 8-10& 8\end{array}$

How many children participated in the survey?

1. 40
2. 45
3. 55
4. 50

Q. As per the histogram, The number of students having height between 155 cm and 135 cm is

1. 60
2. 66
3. 70

Q. The mark scored by 40 candidates in an examination (out of 100 ) is given below .
75 , 65 , 57 , 50 , 32 , 54 , 67 , 75 , 88 , 80 , 42 , 40 , 41 , 34 , 61 , 42 , 46 , 68 , 52 , 43 , 49 , 59 , 49, 67 , 34 , 33 , 87 , 97 , 47 , 46 , 54 , 48 , 45 , 51 , 47 , 41 , 43 .
Prepare a frequency distribution table with the class size 10 . Take the class intervals as 30 - 39 , 40 - 49 and answer the following questions .
Which class intervals have highest and lowest frequency .

Q. Children were asked about the number of hours they play, and the responses have been recorded as follows.
$\begin{array}{cc}No.ofhours& No.ofchildren\\ 0-2& 7\\ 2-4& 11\\ 4-6& 15\\ 6-8& 9\\ 8-10& 8\end{array}$

How many children participated in the survey?

1. 50

Q.
Find the percentage of people in the height range 149.5-159.5.

1. 30

Q.

Given below are the heights of 20 students in centimetres. Find the number of students whose height is greater than 169 cm.

$$\begin{array}{cc}150& 178\\ 153& 156\\ 162& 184\\ 170& 176\\ 186& 173\\ 153& 186\\ 162& 159\\ 180& 183\\ 165& 180\\ 150& 156\end{array}$$

1. 10

2. 15

3. 7

4. 9

Q. The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. Find the upper class limit of the highest class.