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6.   A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data :

      2.6

The class having maximum frequency is the modal class. The maximum frequency is 20 and hence the modal class = 40-50 Lower limit (l) of modal class = 40, class size (h) = 10 Frequency ( ) of the modal class = 20 frequency ( ) of class preceding the modal class = 12, frequency ( ) of class succeeding the modal class = 11 Thus, Mode of the data is 44.70

5.  The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

 2.5

 Find the mode of the data.

The class having maximum frequency is the modal class. The maximum frequency is 18 and hence the modal class = 4000-5000 Lower limit (l) of modal class = 4000, class size (h) = 1000 Frequency ( ) of the modal class = 18 frequency ( ) of class preceding the modal class = 4, frequency ( ) of class succeeding the modal class = 9 Thus, Mode of the data is 4608.70

4.   The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.

   2.4

The class having maximum frequency is the modal class. The maximum frequency is 10 and hence the modal class = 30-35 Lower limit (l) of modal class = 30, class size (h) = 5 Frequency ( ) of the modal class = 10 frequency ( ) of class preceding the modal class = 9, frequency ( ) of class succeeding the modal class = 3 Thus, Mode of the data is 30.625 Now, Let the assumed mean be a =...

3.   The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure :

       2.3

The class having maximum frequency is the modal class. The maximum frequency is 40 and hence the modal class = 1500-2000 Lower limit (l) of modal class = 1500, class size (h) = 500 Frequency ( ) of the modal class = 40 frequency ( ) of class preceding the modal class = 24, frequency ( ) of class succeeding the modal class = 33. Thus, Mode of the data is Rs. 1847.82 Now, Let the assumed...

2. The following data gives the information on the observed lifetimes (in hours) of 225 electrical components :

        2.2

 Determine the modal lifetimes of the components.

The class having maximum frequency is the modal class. The maximum frequency is 61 and hence the modal class = 60-80 Lower limit (l) of modal class = 60, class size (h) = 20 Frequency ( ) of the modal class = 61 frequency ( ) of class preceding the modal class = 52, frequency ( ) of class succeeding the modal class = 38. Thus, the modal lifetime of 225 electrical components is 65.62 hours

1.   The following table shows the ages of the patients admitted in a hospital during a year:

       2.1

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

The class having maximum frequency is the modal class. The maximum frequency is 23 and hence the modal class = 35-45 Lower limit (l) of modal class = 35, class size (h) = 10  Frequency ( ) of the modal class = 23, frequency ( ) of class preceding the modal class = 21, frequency ( ) of class succeeding the modal class = 14. Now, Age   Number of patients  Class...

Q2. The distance (in km) of 40 engineers from their residence to their place of work were
found as follows:
5 3 10 20 25 11 13 7 12 31
19 10 12 17 18 11 32 17 16 2
7 9 7 8 3 5 12 15 18 3
12 14 2 9 6 15 15 7 6 12
Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation?

The record distances between the engineer's workplace and place of residence can be assembled as: S.no. Distances Intervals Frequency   1 0-5 5     5-10 11   3 10-15 11   4 15-20 10   5 20-25 1   6 25-30 1   7 30-35 1   8 TOTAL 40      
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