Practice Questions on Statistics (Frequency Distribution)

1.  Listed below are the temperature in °C for 10 days.
    –6, –8, 0, 3, 2, 0, 1, 5, 4, 4
    What is the range of the data?
2.  Find the sum of mode and median of the data:
    12, 15, 11, 13, 16, 15, 16, 16, 8, 15, 17, 18, 11, 16, 12, 13
3.  Given below the ages of 40 students in a class. Their ages are as follows: 
    13, 21, 6, 5, 8, 17, 14, 13, 6, 6, 7, 8, 15, 16, 9, 10, 10, 9, 7, 8, 15, 14, 12, 11, 9, 7, 6, 8, 9, 10, 13, 17, 17, 16, 9, 12, 9, 8, 13, 14
Construct a frequency distribution table with class intervals 5-10, 10-15 etc.

4. The hourly wages (in Rs.) of 40 workers in a company are given below:
    30, 35, 90, 10, 35, 36, 69, 45, 98, 89, 82, 86, 35, 83, 85, 35, 38, 88, 84, 75, 65, 70, 55, 78, 69, 82, 47, 32, 85, 95, 30, 36, 92, 12, 34, 76, 64, 25, 48, 99
Construct a frequency distribution table.

5.  The marks scored by 15 students in a math exam are as follows:
    59, 65, 63, 66, 70, 46, 42, 56, 78, 65, 54, 47, 59, 65, 79, 22, 25, 35, 25, 20, 12, 8, 7, 26, 16, 24, 9, 32, 32, 23, 40, 25, 15, 12, 19, 57, 29, 25, 84, 92
   For the given data, find the value of
    (a)  Range    (b)   Mean
    (c)   Median    (d)    Mode
   (e) Also made a frequency distribution table for the above data.

Herons Formula Practice Questions

1.    The sides of a triangular field are 61 m, 60 m and 11 m. Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs 900 sq cm space.
2    The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m and 15 m. The advertisements yield an earning of Rs 1500 per sq m a year. A company hired one of its walls for 6 months. How much rent did it pay?
3.    From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle.
4.    The perimeter of an isosceles triangle is 40 cm. The ratio of  the equal side to its base is 4 : 3. Find the area of the triangle.
5.    (a)    The perimeter of a triangular field is 720 m and its sides are in the ratio 7 : 8 : 9. Find the area of the triangular field.
    (b)     If each side of a triangle is quadrupled, then find the ratio of area of the new triangle thus formed and the given triangle.

Knowing the Numbers (Class 6- Practice Problems)

1.    Insert commas suitably and write the names according to International System of Numeration :
    (a)    523427310              (b)    0013003002
    (c)    403010009              (d)    750043109
2.    Write the number names of the following numbers in Indian system.
    (a)    364953        (b)    8495472
    (c)    267300375                (d)    453764894
3.     Fill in the blanks:
    (a)    2 arab = _______ billion.
    (b)    4 million = _______ lakh.
    (c)    3 crore  = _______ hundred thousand.
    (d)    29 billion = _______ lakhs.
4.    Give a rough estimate (by rounding off to nearest thousands) and also a closer estimate (by rounding off to nearest hundreds) :
    (a)    636 + 6,432    (b)    34,569 – 5,991  
    (c)    4,331 – 679    (d)    7,84,356 – 7,00,879
5.    Find using distributive property :
    (a)    827 × 101       (b)    8793 × 1001 
    (c)    379 × 55        (d)    178 × 95