Question

find the median of the data,using an empirical formula,when it is given that mode=35.3 and mean=30.5.

Answer 1

3median=mode+2mean
3 med=35.3+2×30.5
3med=35.3+61
3med=96.3
med=96.3/3
median=32.1

Answer 2

Given:

We have the mode of data is 35.3 and mean is 30.5.

To Find:

We need to find the median of the data?

Step-by-step explanation:

Mean:

The mean of the data is calculated by the when the sum of observation is divided by the total number of observations.

Since, we have the mean of the data is 30.5

Mode:

Mode of the data is measured by the maximum occuring frequency of the data is known as the mode of the data.

Median:

Median of the data is known as the middle term of the given information whenever we write the data in ascending and descending form.

• Now we have given mode and mean of th data

• We will determine the Median by the empirical formula which is as stated as

         Mode=3Median-2Mean

• Now put the values Mode=35.3 and Mean=30.5

35.3=3Median-2(30.5)

35.3+61=3Median

96.3=3Median

Median=32.1

Hence, the median of the data is 32.1