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

Yes.

Step-by-step 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 = 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,

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.

x=half

step-by-step explanation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3