Math day!,which 2 boxes

If the mean, median, and mode are all the same for 4, 9, 7, 8, and x, what is the value of x?

seropon [69]

<h3>Answer: x = 7</h3>

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Explanation:

Since we have an odd number of values, this tells us that the median is part of the data set. It's the middle most item after we sort the values.

Recall that the mode is the most frequent item. Since the mode and median are the same, this must mean x can only be equal to one of the following

4, 9, 7 or 8

We can only pick one of those values.

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If x = 4, then the set {4,9,7,8,x} updates to {4,9,7,8,4} which sorts to {4,4,7,8,9}

The middle most item is in slot 3, which would be 7. So the median is 7.

The median 7 does not match with the mode 4.

So we cross x = 4 off the list.

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If x = 7, then we have {4,7,7,8,9}

The mode is 7 and the median is 7. So far, so good.

Now let's compute the mean. Add up the values and divide by 5 because there are 5 items.

(4+7+7+8+9)/5 = 35/5 = 7

We've shown that the set {4,7,7,8,9} has mean 7.

Overall, that set has the same mean, median and mode. So the answer is confirmed.

I'll let you check the cases when x = 8 and x = 9.

8 0

3 years ago

In which example are the events dependent? A) Blake flips a coin 3 times. What is the probability that he flips heads all three

Assoli18 [71]

D) <span>In Mrs. Brown's Geometry class there are 15 boys and 10 girls. The students are presenting projects to the class. If Mrs. Brown selects students at random for presentations, what is the probability that the first 2 students chosen are girls? i
In usatestprep</span>

7 0

4 years ago

Read 2 more answers

PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer

Ivan

Answer:

1.5 Quarts

Step-by-step explanation:

A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.

So the bucket contains 1.5 Quarts.

4 0

3 years ago