Q2 of 43 Page 293

The daily expenditure of 50 hostel students are as follows:

Find the mean daily expenditure of the students of hostel using appropriate method.


Let us solve by direct method since the frequencies have smaller values.

This is grouped frequency distribution.


We shall represent them by creating a table having columns of class intervals, midpoints, frequencies, and product of these midpoints and frequencies.



So now, we have


∑fi = 50 and ∑xifi = 7260


For grouped frequency distribution, mean is taken out from the formula:



⇒ [from the table]


⇒


⇒ Mean = 145.2


Thus, the mean daily expenditure of the students is Rs. 145.2.


More from this chapter

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7

The following table gives the frequency distribution of marks scored by 50 students of class X in mathematics examination of 80 marks. Find the median of the data:

 1

In a retail market, a fruit vendor was selling apples kept in packed boxes. These boxes contained varying number of apples. The following was the distribution of apples according to the number of boxes. Find the mean by the assumed mean number of apples kept in the box.



















Number of apples



50-53



53-56



56-59



59-62



62-65



Number of boxes



20



150



115



95



20



 3

The mean of the following frequency distribution of 200 observations is 332. Find the value of x and y.

 4

Find the mode of the following frequency distribution:























Class



0-15



15-30



30-45



45-60



60-75



75-90



90-105



Frequency



8



16



23



57



33



23



13