Question

Answer fast plz
For a certian distribution , mode and median were found to be 1000 and 1250 respectative . findb the mean for this distribution , using an empherical relation.​

Answer 1

Step-by-step explanation:

There is an empirical relationship between the three measures of central tendency:

3 median = mode + 2 Mean

Mean = 3 Median - Mode/2

= 3(1250) - 1000/2

= 1375

Thus, the mean is 1375.

Answer 2

Gɪᴠᴇɴ :-

• Mode = 1000.
• Median = 1250.

Tᴏ Fɪɴᴅ :-

• Mean of This distribution ?

Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ :-

• Empirical Relationship between Mean, Median and Mode :- Mean - Mode = 3(Mean - Median)

Sᴏʟᴜᴛɪᴏɴ :-

→ Mean - Mode = 3(Mean - Median)

Putting values we get :-

→ Mean - 1000 = 3(Mean - 1250)

→ Mean - 1000 = 3Mean - 3750

→ 3Mean - Mean = 3750 - 1000

→ 2Mean = 2750

→ Mean = 1375 (Ans.)

Hence, Mean of This distribution is 1375.

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Extra :-

• ☛ Mean is the average of the data set which is calculated by adding all the data values together and dividing it by the total number of data sets.

• ☛ Median is the middle value among the observed set of values and is calculated by arranging the values in ascending order and then choosing the middle value.

• ☛ Mode is the number from a data set which has the highest frequency and is calculated by counting the number of times each value occurs.

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