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If the mean of the following data is 20.2, find the value of p:

x 10 15 20 25 30 f 6 8 p 10 6 Solution According to the given details Mean = 20.2 We know that mean can be represented as =20.2 Hence... View Article

Expenditure on Education of a country during a five year period (2002-2006), in crores of rupees, is given below. Represent the information above by a bar graph.

Education Expenditure Elementary education 240 Secondary education 120 University education 190 Teacher's... View Article

he expenditure of a family on different heads in a month is given below. Draw a bar graph to represent the data above.

Head Food Education Clothing House Rent Others Saving Exenditure 4000 2500 1000 3500 2500 1500 Solution The... View Article

Convert the given frequency distribution into a continuous grouped frequency distribution. In which intervals would 153.5 and 157.5 be included?

Class interval Frequency 150-153 7 154-157 7 158-161 15 162-165 10 166-169 5 170-173 6... View Article

Prepare a continuous grouped frequency distribution from the following data. Also find the size of class intervals.

Mid point Frequency 5 4 15 8 25 13 35 12 45 6 Solution Let m be the mid-point of a class... View Article

The scores (out of 100) obtained by 33 students in a mathematics test are as follows: 69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84 000 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69 Represent this data in the form of a frequency distribution.

Solution A frequency distribution is a representation, either in a graphical or tabular format, that displays the number of observations within... View Article

The value of π upto 35 decimal places is given below: 3. 14159265358979323846264338327950288 Make a frequency distribution of the digits 0 to 9 after the decimal point.

Solution A frequency distribution is a representation, either in a graphical or tabular format, that displays the number of observations within... View Article

The blood groups of 30 students are recorded as follows: A, B, O, A, AB, O, A, O, B, A, O, B, A, AB, B, A, AB, B, A, A, O, A, AB, B, A, O, B, A, B, A Prepare a frequency distribution table for the data.

Solution A frequency distribution is a representation, either in a graphical or tabular format, that displays the number of observations within a... View Article

Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.

Solution The given statement is incorrect. In a histogram, the area of each rectangle is proportional to the corresponding frequency of its... View Article

A football player scored the following number of goals in the 10 matches: 1, 3, 2, 5, 8, 6, 1, 4, 7, 9 Since the number of matches is 10 (an even number), therefore, the median = (5th observation + 6th observation)/2 = (8 + 6)/2 = 7 Is it the correct answer and why?

Solution No. The obtained data solution in the question incorrect answer, because the data has to be ordered in either ascending or descending... View Article

A child says that the median of 3, 14, 18, 20, 5 is 18. What doesn’t the child understand about finding the median?

Solution The child says that the median of 3, 14, 18, 20, 5 is 18. From this we understand that the child doesn’t understand... View Article

In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded: 46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44 Which ‘average’ will be a good representative of the above data and why?

Solution Median will be a good representative of the data for the given set of data due to the following reasons a) each value occurs... View Article

If the mean of the observations: x, x + 3, x + 5, x + 7, x + 10 is 9, the mean of the last three observations is

(A) (B) (C) (D) The correct answer is (C) Solution We know that Average of a data is given as Average of a data= sum of total... View Article

The mean of five numbers is 30. If one number is excluded, their mean becomes 28. The excluded number is: (A) 28 (B) 30 (C) 35 (D) 38

The correct answer is (D) 38 Solution Let a,b,c,d and e are five numbers Average of a data = sum of total observations / total number of... View Article

To draw a histogram to represent the following frequency distribution. The adjusted frequency for the class 25-45 is : (A) 6 (B) 5 (C) 3 (D) 2

Class interval 5-10 10-15 15-25 25-45 45-75 Frequency 6 12 10 8 15 The correct answer is (D) 2 Solution... View Article

A grouped frequency distribution table with classes of equal sizes using 63-72 (72 included) as one of the class is constructed for the following data: 30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88, 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96, 102, 110, 88, 74, 112, 14, 34, 44. The number of classes in the distribution will be : (A) 9 (B) 10 (C) 11 (D) 12

The correct answer is (B) 10 Explanation The given frequency range varies from 14 to 112. The class intervals for given set of data are... View Article

A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data : 268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236. The frequency of the class 310-330 is: (A) 4 (B) 5 (C) 6 (D) 7

The correct answer is (C) 6 Explanation On tabulating the given data we form the table as shown below Class Interval Frequency... View Article

In the class intervals 10-20, 20-30, the number 20 is included in: (A) 10-20 (B) 20-30 (C) both the intervals (D) none of these intervals

The correct answer is (B) 20-30 Explanation From the given data 20 relates from the group 20-30.... View Article

The class marks of a frequency distribution are given as follows: 15, 20, 25, … The class corresponding to the class mark 20 is: (A) 12.5 – 17.5 (B) 17.5 – 22.5 (C) 18.5 – 21.5 (D) 19.5 – 20.5

The correct answer is (B) 17.5 – 22.5 Explanation From the given data Difference between class marks = 5 The classes for these class... View Article

Let m be the mid-point and l be the upper class limit of a class in a continuous frequency distribution. The lower class limit of the class is: (A) 2m + l (B) 2m – l (C) m – l (D) m – 2l

The correct answer is (B) 2m – l Explanation From the given data Let L be the lower class limit of a continuous frequency distribution Let... View Article