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QuestionCalculate the mode, mean, and median of the set {0,1,0,0,0,0,0,3,1,0,1,1,1,0,1,1,6,1,0,0,3,1,1,0,1,1,0,0,2,2,1}\{0, 1, 0, 0, 0, 0, 0, 3, 1, 0, 1, 1, 1, 0, 1, 1, 6, 1, 0, 0, 3, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1\}, rounding to one decimal place.

Studdy Solution

STEP 1

Assumptions1. The given set of numbers is {0,1,0,0,0,0,0,3,1,0,1,1,1,0,1,1,6,1,0,0,3,1,1,0,1,1,0,0,,,1}\{0,1,0,0,0,0,0,3,1,0,1,1,1,0,1,1,6,1,0,0,3,1,1,0,1,1,0,0,,,1\}. . The mode is the number that appears most frequently in the set.
3. The mean is the sum of all numbers divided by the count of numbers.
4. The median is the middle number when the numbers are arranged in ascending order. If there is an even number of numbers, the median is the average of the two middle numbers.
5. All calculations are rounded to one decimal place.

STEP 2

First, let's find the mode. The mode is the number that appears most frequently in the set.
To do this, we count the frequency of each number in the set.

STEP 3

After counting, we find that the number0 appears11 times, the number1 appears10 times, the number2 appears2 times, the number3 appears2 times, and the number6 appears once.
Therefore, the mode is the number with the highest frequency, which is0.

STEP 4

Next, let's find the mean. The mean is the sum of all numbers divided by the count of numbers.
First, we calculate the sum of all numbers in the set.
Sum=0+1+0+0+0+0+0+3+1+0+1+1+1+0+1+1+6+1+0+0+3+1+1+0+1+1+0+0+2+2+1Sum =0 +1 +0 +0 +0 +0 +0 +3 +1 +0 +1 +1 +1 +0 +1 +1 +6 +1 +0 +0 +3 +1 +1 +0 +1 +1 +0 +0 +2 +2 +1

STEP 5

Calculate the sum.
Sum=26Sum =26

STEP 6

Now, we divide the sum by the count of numbers to find the mean.
Mean=Sum/Count of numbersMean = Sum / Count\, of\, numbers

STEP 7

Plug in the values for the sum and the count of numbers to calculate the mean.
Mean=26/31Mean =26 /31

STEP 8

Calculate the mean, rounding to one decimal place.
Mean=26/31≈0.8Mean =26 /31 \approx0.8

STEP 9

Finally, let's find the median. The median is the middle number when the numbers are arranged in ascending order. If there is an even number of numbers, the median is the average of the two middle numbers.
First, we arrange the numbers in ascending order.
{,,,,,,,,,,,,,,,,,,,,,2,2,3,3,6}\{,,,,,,,,,,,,,,,,,,,,,2,2,3,3,6\}

STEP 10

Since there are31 numbers, an odd number, the median is the16th number in the sorted list.
Therefore, the median is.
The mode of the set is0, the mean is0.8, and the median is.

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