Grouped Frequency Distribution Table

Q.

The value of$\pi$up to$50$decimal places is given below: $3.14159265358979323846264338327950288419716939937510$

(i) Make a frequency distribution of the digits from $0to9$ after the decimal point.

(ii) What are the most and the least frequently occurring digits?

Q. The below histogram shows the heights of black cherry trees in a forest. How many black cherry trees have a height greater than or equal to 75 feet?

1. 25
2. 17
3. 24
4. 14

Q.

The LCM of $x^5$, $x^3$, $x^2$ is___

1. $x^4$

2. $x^3$

3. $x^2$

4. $x^5$

Q.

The frequency of $7$ is written symbolically as $\_\_\_\_\_\_$ using tally marks.

1. $\cancel{\left|\right|\left|\right|}$

2. $\cancel{\left|\right|\left|\right|}$ $\left|\right|$

3. $\cancel{\left|\right|\left|\right|}$ $|$

4. $\left|\right|\left|\right|\left|\right||$

Q. Find the groups with the highest and the lowest frequency.

1. '10 - 15' and '20 - 25'
2. '0 - 5' and '20 - 25'
3. '5 - 10' and '20 - 25'
4. '0 - 5' and '5 - 10'

Q. The pie chart shown below shows the sale of mobiles of different brands. Select the mobile brand whose sale is 0.25 of that of Nokia.

1. Redmi
2. Samsung
3. Oppo
4. Micromax

Q. In a histogram, frequency is plotted against _______.

1. class interval
2. class size
3. class mark
4. class limit

Q.

Draw a histogram to represent the following grouped frequency distribution.

Q.

The length of 40 leaves of a plant are measured correct to one millimeter, and the obtained data is represented in the following table: (i) Draw a histogram to represent the given data. [Hint: First make the class intervals continuous] (ii) Is there any other suitable graphical representation for the same data? (iii) Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?

S.no.	Length (in mm)	Number of leaves
1.	118 – 126	3
2.	127 – 135	5
3.	136 – 144	9
4.	145 – 153	12
5.	154 – 162	5
6.	163 – 171	4
7.	172 – 180	2

Q. Grouped frequency distribution table helps us to draw the meaningful ________.

1. inferences
2. confusion
3. doubt
4. unsureness

Q.

Arrange the given heights of 20 students in grouped distribution with a class interval of 5. The number of students above the height of 169cm is ___ Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

Q.

In the class intervals $10–20$, $20–30$, $20$ is taken in:.

1. (a) the interval $10-20$

2. (b) the interval $20-30$

3. (c) both intervals s $10–20$, $20–30$

4. (d) None of the intervals

Q.

From the frequency distribution of student marks, tell what is the number of people whose marks is less than 22.5?

$$\begin{array}{cccccc}Class& 12.5-17.5& 17.5-22.5& 22.5-27.5& 27.5-32.5& 32.5-37.5\\ Frequency& 2& 22& 19& 14& 13\end{array}$$

1. 21

2. 22

3. 24

4. 23

Q.

Look at the following table below.
$\begin{array}{cc}Classinterval& Classmark\\ 0-5& \\ 5-10& \\ 10-15& \\ 15-20& \end{array}$

The class-mark for the first and second class intervals are:

1. 0, 5

2. 5, 10

3. 2.5, 7.5

4. 3, 8

Q. Find the Probability of the pointer stopping on D.

Q. Size of the class 120 - 160 is _____.

1. 40
2. 20
3. 50
4. 30

Q. From this data of height of students find the number of students above the height of 169cm. 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

Q. In ______________, the data is collected into several groups and the frequency of scores in each group is recorded.

1. a grouped frequency distribution
2. a ungrouped frequency distribution
3. a frequency distribution
4. a grouped distribution

Q. In FIFA world cup '14, team Brazil scored the following number of goals through the season:
3, 2, 1, 4, 3, 1, 2, 4, 3, 2.
Make an ungrouped frequency table for the given data.
(2 marks)

Q. Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of ?
(i) Getting a number 6 ?
(ii) Getting a number less than 6 ?
(iii) Getting a number greater than 6 ?

Q. N is the cumulative frequency of the above class interval. Find the value of N.

1. 42
2. 27
3. 47
4. 37

Q.

Four alternative options are given for each of the following statements. Select the correct option.

The height of a rectangle in a histogram represents:

A. class interval

B. midpoint

C. frequency density

D. frequency

Q.

1. 9
2. 7
3. 8
4. 10

Q. What is the lower class limit for the class interval 15 - 25?

Q. What would be the first class interval, if the fifth class interval is $60-65$, the fourth class interval is $55-60$ and a total number of classes is limited to five.

1. 
2. 
3. 
4. 

Q. Combine the sentences using a suitable cumulative conjunction:
I lost my suitcase. I also lost my car keys. [Advanced]

1. Even though I lost my suitcase, I also lost my car keys.
2. I lost not only my suitcase, but also my car keys.
3. I either lost my suitcase or my car keys.
4. I lost my suitcase, though I lost my car keys too.

Q.

Question 104(i)

The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.

Write the classes assuming all the clases are of equal width.

Q. Find the difference between happiness indexes of Moscow and Beijing city.

Q.

Four alternative options are given for each of the following statements. Select the correct option.

In a histogram, the width of the rectangle indicates:

A. class interval

B. midpoint

C. frequency density

D. frequency

Q. Combine the sentences using a suitable cumulative conjunction:
John is a doctor. His wife is a doctor. [Advanced]

1. John or his wife is a doctor.
2. Both John and his wife are doctors.
3. Both John and his wife is doctor.
4. John is a doctor but his wife is a doctor.