# NCERT Mathematics Class 9 Exemplar Ch 14 Statistics and Probability Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Exercise 14.2**

Q. 1. The frequency distribution:

Marks | ||||

Number of Students |

Has been represented graphically as follows:

Do you think this representation is correct? Why?

Answer: Not correct. The classes are of varying widths, not of uniform widths.

Q. 2. In a diagnostic test in mathematics given to students, the following marks (out of 100) is recorded:

which ‘average’ will be a good representative of the above data and why?

Answer: Median will be a good representative of the data, because

(i) Each value occurs once,

(ii) The data is influenced by extreme values.

Q. 3. A child says that the median of is . What doesn՚t the child understand about finding the median?

Answer: Data has to be arranged in ascending (or descending) order before finding the median.

Q. 4. 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

=

=

Is it the correct answer and why?

Answer: No, the data have first to be arranged in ascending (or descending) order before finding the median.

Q. 5. 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.

Answer: It is not correct. In a histogram, the area of each rectangle is proportional to the frequency of its class.

Q. 6. The class marks of a continuous distribution are: and Is it correct to say that the last interval will be ? Justify your answer.

Answer: It is not correct. Reason is that difference between two consecutive marks should be equal to the class size.