Question

if mode is 15 and median is 12, arithmetic mean will be?
Answer is 10.5

Answer 1

Heyyyyyy friend!!!

We have got the relationship between mean, median and mode according to which.......

3Median= Mode + 2Mean

3×12= 15 + 2Mean

36 = 15 + 2mean

21 = 2mean

Hence, the Mean = 10.5.

Hope it helps you out...

Answer 2

Answer:

The mean is $10.5.$

Explanation:

Given: Mode is $15.$

Median is $12.$

Find: The arithmetic mean.

Solution:

Mean: The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.  

Mode: The median is the middle value when a data set is ordered from least to greatest.

Median: The mode is the number that occurs most often in a data set.

Now, the formula is

$3median=mode+2mean$

            Putt the values

$3 \times 12=15+2 \times mean\\36-15=2 mean\\21=2mean\\mean=\frac{21}{2}\\ =10.5$

Hence, the mean is $10.5.$

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