2.2k views
2 votes
A researcher records the following data for the number of different food items chosen by seven participants in a buffet-style setting: 1, 6, 2, 5, 4, 3, and 7. Is the mean equal to the median in this example

User Avia Afer
by
8.1k points

1 Answer

3 votes

Answer:

Yes.

Explanation:

Given:

A researcher records the following data for the number of different food items chosen by seven participants in a buffet-style setting: 1, 6, 2, 5, 4, 3, and 7.

Question asked:

Is the mean equal to the median in this example ?

Solution:

First of all we will calculate mean the median and then compare between these two:-

As we know:


Mean=(Sum\ of\ observations )/(Number\ of\ observations)


=(1+6+2+5+4+3+7)/(7) \\\\=(28)/(7) =4

Mean = 4

To find median, first we will order these as ascending order:

1, 6, 2, 5, 4, 3, 7 = 1, 2, 3, 4, 5, 6, 7

For odd number of observations,


Median=(n+1)/(2),\ n=Number\ of\ observations


=(7+1)/(2) =(8)/(2) =4

That means, fourth term will be the median

Median = 4

We found that mean and median both are 4.

Thus, yes mean and median both are equal in this example.

User Alexander Cogneau
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories