Ogive

Q. I bought a box of chocolates. My elder son ate 5 % of the chocolates from the box. My younger son ate 20 % of the remaining chocolates from the box. What percentage of chocolates were left in the box?

Q. Construct the less than type ogive curve for the following distribution table.

Class intervals	Frequency
0-5	4
5-10	2
10-15	2
15-20	3
20-25	5

1. 
2. 
3. 
4. 

Q.

In a basket, there are 10 apples and 5 bananas. Find the percentage of bananas in the basket.

1. 

2. 

3. 33%

4. 

Q. From the given less than type ogive curve, answer the following question.
How many students got marks less than 70%?

1. 45
2. 35
3. 65
4. 55

Q. The average of a list of integers goes up by 2 when 25 is added to the list. If 8 is added to the new list,
then the average reduces by 1. How many numbers were there in the original list?

Q.

Which number has the maximum frequency and the minimum frequency in the given data ?

The heights(in cm) of $20$ boys of class $\mathrm{VI}$ are : $140$, $138$, $139$, $140$, $140$, $147$, $139$, $139$, $139$, $139$, $140$, $147$, $138$, $140$, $139$, $140$, $147$, $147$, $138$, $139$

Q. A less than type Ogive curve is a graphical plot of less than type cumulative frequency and .

1. upper boundaries
2. lower boundaries
3. class marks
4. frequency

Q.

From the given ogive curve, answer the following question.

How many students secured the marks between 50% and 70%?

1. 15
2. 20
3. 35
4. 40

Q.

_______ is the central tendency of a group of observation or data.

1. Average

2. Table

3. Map

4. Record

Q. Which one of the following definitions is for frequency curve?

1. The polygon formed by joining the middle points of the tops of bars of the histogram
2. A special type of bar graph to represent a frequency distribution. Here the bars are drawn adjascent to each other, class intervals are represented on the horizontal axis and frequency on the vertical axis
3. If the class intervals are plotted on the horizontal axis and the cumulative frequencies on the vertical axis against the upper class boundaries then the free hand curve through the points so plotted
4. The curve fanned by joining the middle points of the tops of bars of the histogram

Q. What is the meaning of range in a graph?

Q. Graph of cumulative frequency distribution is useful ___________.

1. in calculation of the averages of the ungrouped frequencies
2. in understaing the class marks calculation for grouped frequency distribution
3. in understanding the accumulation of observations at particular level of exclusive series
4. in understanding the accumulation of observations at particular level of inclusive series

Q.

Class Interval	Cumulative Frequency
10-19	8
20-29	19
30-39	23
40-49	30

Construct a frequency distribution table from the following cumulative frequency distribution $:$

1. 8

   11

   4

   7

2. 30

   23

   19

   8

3. 8

   19

   23

   30

4. 8

   27

   50

   80

Q.

From the given ogive, which of the following can be determined?

1. Mean only

2. Mode only

3. Median only

4. Mean, median and mode

Q. The measure of dispersion is a characteristics of :

1. frequency curve
2. frequency polygon
3. frequency class
4. frequency limit

Q. Frequency distribution of age of a person (in years) attending trekking camp is given below:

(Age in years)	$15-19$	$20-24$	$25-29$	$30-34$	$35-39$	$40-44$
No. of persons	$10$	$60$	$50$	$30$	$5$	$5$

How many persons are there of age $35$ and above?

Q. The frequency curve characteristics of measure of dispersion that is influenced most by extreme values is ____

1. standard deviation
2. range
3. mode
4. variance

Q.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$7$	$12$	$x$	$28$	$y$	$9$

Mode of above data is $33\frac{1}{3}$ and total frequency is $100$. Find $x$ and $y$.

Q. The following table shows the export earnings of India (in thousand crore rupees) during five consecutive years.

Year	2010−11	2011−12	2012−13	2013−14	2014−15
Export(in thousand crores rupees)	540	600	750	950	110

Represent the above data by a bar graph.

Q. The air distances of four cities from Delhi (in km) are given below:

City	Mumbai	Kolkata	Hyderabad	Chennai
Distance from Delhi(in km)	1100	1340	1220	1700

Draw a bar graph to represent the above data.

Q.

Q. From the graph, which of the following provides a measure of central location for the data?

1. mean
2. mode
3. range
4. median

Q. Calculate the mean for the following frequency distribution :

Marks	$15-19$	$20-24$	$25-29$	$30-34$	$35-39$	$40-44$
Frequency	$6$	$5$	$9$	$12$	$6$	$2$

Q. In symmetric distribution of frequency curve, the measure of central tendency is always

1. different
2. $1$
3. not equal
4. equal

Q. Ogive curve is also called Cumulative frequency curve.

1. True
2. False

Q.

Ogives can be used to find _____.

1. mean

2. median

3. variance

4. mode

Q. The measure of tendency is the characteristics of

1. graphical representation
2. frequency curve
3. frequency polygon
4. histogram

Q. The number of cars sold on $20$ consecutive days in a state are as follows:

What value must $x$ and $y$ take to make the given data set trimodal?

Q. A graph representing the cumulative frequencies of a grouped frequency is called as ________.

1. Distribution curve
2. Frequency curve
3. Progressive curve
4. Ogive curve

Q.

The given table shows the Marks obtained by students in Mathematics.

$\begin{array}{cc}\text{Marks}& \text{No. of Students}\\ 0-10& 3\\ 10-20& 7\\ 20-30& 12\\ 30-40& 15\\ 40-50& 20\\ 50-60& 9\\ 60-70& 8\\ 70-80& 16\\ 80-90& 14\\ 90-100& 6\end{array}$

Using the table determine the Number of students who got above 74 % by drawing an ogive curve.

1. 25

2. 28

3. 33

4. 30