23
Question
Define Mode. Calculate Mode of the following frequency distribution:
Marks10−1515−2020−2525−3030−3535−4040−45No.of Students371612953
Define Mode. Calculate Mode of the following frequency distribution:
Marks10−1515−2020−2525−3030−3535−4040−45No.of Students371612953
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Solution
Mode is defined as the value which occurs most frequently in a series or the value around which most of the values concentrate.
GROUPING TABLE
ANALYSIS TABLE
10−1515−2020−2525−3030−3535−4040−45Col.I|Col.II||Col.III||Col.IV||||||Col.V|||Col.VI|||136421
Modal class=20-25
Mode=l1+f1−f02f1−f2−f0×i Where f1=frequency of modal class
f0=frequency of preceding class
f2=frequency of next class
i=size of modal class
Mode=21.96
Mode is defined as the value which occurs most frequently in a series or the value around which most of the values concentrate.
GROUPING TABLE
ANALYSIS TABLE
10−1515−2020−2525−3030−3535−4040−45Col.I|Col.II||Col.III||Col.IV||||||Col.V|||Col.VI|||136421
Modal class=20-25
Mode=l1+f1−f02f1−f2−f0×i Where f1=frequency of modal class
f0=frequency of preceding class
f2=frequency of next class
i=size of modal class
Mode=21.96
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