A bag contains 4 red, 4 blue, 4 green, and 4

yellow marbles. A marble is randomly pulled from
the bag and replaced seven times. The table shows
the outcome of the experiment.

TRIAL - OUTCOME
1 - YELLOW
2 - BLUE
3 - YELLOW
4 - RED
5 - BLUE
6 - YELLOW
7 - YELLOW

Which marble color’s observed frequency is closest
to its expected frequency

1. Red
2 Blue
3 Green
4 Yellow

Blue.

explain how yall are getting blue!

The answer is blue

howwwww

Well, let's take a closer look at this colorful situation. Out of the 7 trials, the yellow marble was chosen a whopping 4 times! That's quite the sunny selection. So, it seems like the observed frequency of the yellow marbles is the closest to its expected frequency. Yellow for the win!

To determine which marble color's observed frequency is closest to its expected frequency, we need to compare the actual outcomes (observed frequency) to the expected frequency.

First, let's calculate the expected frequency for each color. Since there are 4 marbles of each color and a marble is randomly replaced 7 times, the expected frequency for each color is given by:

Expected frequency = (Total marbles of that color / Total marbles) * Number of trials

For example, the expected frequency for red marbles would be:
Expected frequency for Red = (4 / 16) * 7 = 1.75

Now, let's compare the expected frequency to the observed frequency from the table:

Observed frequency for Red = 1
Observed frequency for Blue = 2
Observed frequency for Green = 0
Observed frequency for Yellow = 4

By comparing these values, it is clear that the observed frequency for Yellow marbles (4) is closest to its expected frequency (1.75). Therefore, the correct answer is option 4: Yellow.

I don't see your choice of answer?

Did you forget it?