Histogram

Q.

In a histogram, the height of the rectangle shows:

1. Width of the class

2. Upper limit of the class

3. Lower limit of the class

4. Frequency of the class

Q. If the given classes are not continuous, make them continuous. Such classes are called __________.

1. reduced class intervals
2. extended class intervals
3. wide class intervals
4. short class interval

Q. Time alloted for the preparation of an examination by some students is shown in the table. Draw a histogram to show the information.

Time (minutes)	60 - 80	80 - 100	100 - 120	120 - 140	140 - 160
No. of students	14	20	24	22	16

Q. Draw a histogram for the following frequency distribution.

Use of electricity (Unit)	50 - 70	70 - 90	90 - 110	110 - 130	130 - 150	150 - 170
No. of families	150	400	460	540	600	350

Q. In the following table, the investment made by 210 families is shown. Present it in the form of a histogram.

Investment (Thousand Rupees)	10 - 15	15 - 20	20 - 25	25 - 30	30 - 35
No. of families	30	50	60	55	15

Q.

A survey was done in a Housing Society where the number of Vehicles were categorized according to their Mileage.

The Graph Given shows the Histogram for the Mileage vs The number of vehicles present.

Which of the Following Frequency distribution table is correct for the Graph?

1. $\begin{array}{cc}\text{Mileage(km/l)}& \text{No.of vehicles}\\ 0-10& 6\\ 10-20& 9\\ 20-30& 8\\ 30-40& 15\\ 40-50& 11\\ 50-60& 3\\ 60-70& 5\end{array}$

2. $\begin{array}{cc}\text{Mileage(km/l)}& \text{No.of vehicles}\\ 0-10& 6\\ 10-20& 9\\ 20-30& 8\\ 30-40& 15\\ 40-50& 10\\ 50-60& 3\\ 60-70& 5\end{array}$

3. $\begin{array}{cc}\text{Mileage(km/l)}& \text{No.of vehicles}\\ 0-10& 6\\ 10-20& 9\\ 20-30& 7\\ 30-40& 15\\ 40-50& 11\\ 50-60& 4\\ 60-70& 5\end{array}$

4. $\begin{array}{cc}\text{Mileage(km/l)}& \text{No.of vehicles}\\ 0-10& 6\\ 10-20& 9\\ 20-30& 7\\ 30-40& 15\\ 40-50& 11\\ 50-60& 3\\ 60-70& 5\end{array}$

Q.

If we draw a histogram for the class interval 15 - 30, what will be the value of 'a' ?

1. 7
2. 3
3. 11
4. 4

Q.

Solve the following questions:

i) What is the percentage of people in the height range of 149.5 -159.5cm?

ii) What is the percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm?

Q.

Using the information from the given histogram which of the following is one of the points used to construct the corresponding ogive?

1. (32, 81)
2. (28, 76)
3. (16, 20)
4. (9, 12)

Q. For ‘more than ogive’ the x-axis represents _______.

1. upper limits of class-intervals
2. mid-values of class-intervals
3. lower limits of class-intervals
4. frequency

Q. Ravi bought 15 kg of sugar at 12 per kg and 10 kg of sugar at 14 per kg. He mixed the two varieties and sold the mixture at 16 per kg. What was his total profit?

1. 30
2. 70
3. 80
4. 20

Q. A random survey of the number of children of various age groups playing in park was found as follows:

$\begin{array}{cc}Age\left(inyears\right)& Numberofchildren\\ 1-2& 5\\ 2-3& 3\\ 3-5& 6\\ 5-7& 12\\ 7-10& 9\\ 10-15& 10\\ 15-17& 4\end{array}$

Draw a histogram to represent the data above

Q. The duration of watching TV by a certain number of students is represented graphically in the histogram. The recommended duration of watching TV by the INDIAN TV association is 2-6 hours. How many students come into this category?

1. 90
2. 35
3. 85
4. 70

Q. 500 students appeared in an exam. The exam comprises three subjects: English, science, and mathematics.
The Venn diagram below represents the number of students who passed the exam.Find the number of students who failed in science or mathematics.

1. 95
2. 120
3. 105
4. 110

Q. If a shopkeeper sell a TV at 15% profit and a DVD at 12% loss then he earns Rs. 540 as total profit but if he sells the TV at 12% loss and the DVD at 15% proft then there is no loss or profit.Find the cost price of the TV and the DVD ?

Q.

If we draw a histogram for the class interval 15 - 30, what will be the value of 'a' ?

1. 3
2. 11
3. 4
4. 7