Q8 of 14 Page 269

If the median of the series exceeds the mean by 3. Find the number by which mode exceeds its mean.

Given,


Median = mean + 3


Using empirical formulae


Mode = 3median – 2 mean


Mode = 3(mean+3) – 2mean


= mean + 9


Mode = mean + 9


So, mode exceeds mean by 9


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Mean of 36 observation is 12. One observation 47 was misread as 74. Find the correct mean.

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The mean marks of boys and girls in an exam are 70 and 73. If mean marks of the whole class are 71, find the ratio of a number of girls to the number of boys.

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A class consists of 50 students out of which 30 are girls. The mean marks scored by girls is 73 and that of the boys is 71. Find the mean score of the whole class.