Question

2. If the median and mode of the data are 52 and 52.4

respectively, then its mean is...........

Answer 1

Answer:

Mean = 51.8

Step-by-step explanation:

Given,

         Median = 52

         Mode = 52.4

We know the relation

        Mode = 3 Median - 2 Mean

⇒ 52.4 = 3 (52) - 2 Mean

⇒ 52.4 = 156 - 2 Mean

⇒ 2 Mean = 156 - 52.4

⇒ 2 Mean = 103.6

⇒ Mean = 103.6 / 2

⇒ Mean = 51.8

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Answer 2

Answer:

Mean = 52.2

Step-by-step explanation:

Given,

        Median = 52

        Mode = 52.4

We know the relation

       Mode = 3 Median - 2 Mean

⇒ 52.4 = 3 (52) - 2 Mean

⇒ 52.4 = 156 - 2 Mean

⇒ 2 Mean = 156 - 52.4

⇒ 2 Mean = 104.4

⇒ Mean = 104.4 / 2

⇒ Mean = 52.2