Question

compute mode 15-20 , 20-25 , 25-30 , 30-35 , 35-40 , 40-45 , 45-50 frequency 12 15 20 16 20 10 9​

Answer 1

Answer:

Mode =27.73

Explanation:

Size of the item         f

     10−15                        4

     15−20                       8

     20−25                     18

     25−30                     30

     30−35                     20

     35−40                     10

     40−45                       5

     45−50                       2

Modal class is 25−30 since it has the maximum frequency.

Lower limit of the modal class l=25

Frequency of the modal class f=30

Frequency of the preceding modal class =18

Frequency of the class reducing the modal class =20

Class width c=5

$Mode=l+(\frac{f-f1}{2f-f1-f2}) c$

         $=25+(\frac{30-18}{60-18-20})5$

         $=25+\frac{60}{22}$

         = 25 + 2.73

         = 27.73

Mode =27.73

Answer 2

Answer:

Mode =27.73

Explanation:

Size of the item f

10−15 4

15−20 8

20−25 18

25−30 30

30−35 20

35−40 10

40−45 5

45−50 2

Modal class is 25−30 since it has the maximum frequency.

Lower limit of the modal class l=25

Frequency of the modal class f=30

Frequency of the preceding modal class =18

Frequency of the class reducing the modal class =20

Class width c=5

Mode=l+(\frac{f-f1}{2f-f1-f2}) cMode=l+(

2f−f1−f2

f−f1

)c

=25+(\frac{30-18}{60-18-20})5=25+(

60−18−20

30−18

)5

=25+\frac{60}{22}=25+

22

60

= 25 + 2.73

= 27.73

Mode =27.73

hope it'll help you

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