Find the median of the following data:

95, 65, 75, 70, 75, 100, 50, 40.

Solution

Arranging the given data in the ascending order, we have

40, 50, 65, 70, 75, 75, 95,

100 Number of observations (n) = 8 which is even.
$therefore space space Median equals space space fraction numerator open parentheses begin display style straight n over 2 end style close parentheses to the power of th space observation plus open parentheses begin display style straight n over 2 end style plus 1 close parentheses to the power of th space observation over denominator 2 end fraction equals space fraction numerator open parentheses begin display style 8 over 2 end style close parentheses to the power of th observation plus open parentheses begin display style 8 over 2 end style plus 1 close parentheses to the power of th space observation over denominator 2 end fraction equals fraction numerator 4 to the power of th observation plus 5 to the power of th space observation over denominator 2 end fraction equals fraction numerator 70 plus 75 over denominator 2 end fraction equals 72.5$

Some More Questions From Probability Chapter

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A table cover 4 m x 2 m is spread on a table. Find the cost of polishing the top of the table at र40 per square metre of 25 cm table cover is hanging all round the table.

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Two cubes of side 6 cm each, are joined end to end. Find the surface area of the resulting cuboid.

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Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it (see figure). She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively how many square sheets of paper of side 40 cm would she require?

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Probability

Find the median of the following data:

95, 65, 75, 70, 75, 100, 50, 40.

Some More Questions From Probability Chapter

A table cover 4 m x 2 m is spread on a table. Find the cost of polishing the top of the table at र40 per square metre of 25 cm table cover is hanging all round the table.

A classroom is 7 m long, 6.5 m wide and 4 m high. It has one door 3 m x 1.4 m and three windows each measuring 2 m x 1 m. The interior wall is to be colour washed. Find the cost of colour washing at the rate of र 3.50 per m².

Two cubes of side 6 cm each, are joined end to end. Find the surface area of the resulting cuboid.

The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of र 8 and र 9.50 per m² is र1248. Find the dimensions of the box.

The length, breadth and height of a cuboid are 15 cm, 10 cm and 20 cm. Find the surface area of the cuboid.

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For Daily Free Study Material Join wiredfaculty

Probability

Find the median of the following data: 95, 65, 75, 70, 75, 100, 50, 40.

Some More Questions From Probability Chapter

A table cover 4 m x 2 m is spread on a table. Find the cost of polishing the top of the table at र40 per square metre of 25 cm table cover is hanging all round the table.

A classroom is 7 m long, 6.5 m wide and 4 m high. It has one door 3 m x 1.4 m and three windows each measuring 2 m x 1 m. The interior wall is to be colour washed. Find the cost of colour washing at the rate of र 3.50 per m2.

Two cubes of side 6 cm each, are joined end to end. Find the surface area of the resulting cuboid.

The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of र 8 and र 9.50 per m2 is र1248. Find the dimensions of the box.

The length, breadth and height of a cuboid are 15 cm, 10 cm and 20 cm. Find the surface area of the cuboid.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the median of the following data:

95, 65, 75, 70, 75, 100, 50, 40.

A classroom is 7 m long, 6.5 m wide and 4 m high. It has one door 3 m x 1.4 m and three windows each measuring 2 m x 1 m. The interior wall is to be colour washed. Find the cost of colour washing at the rate of र 3.50 per m².

The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of र 8 and र 9.50 per m² is र1248. Find the dimensions of the box.