Find the value of the expression g - d for d = 7 and g = 7.
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Answer:
1. Mean = 4.57
2. Median = 5
3. Mode = 5
4. Range = 7
<u>Five Number Summary</u>
5. Minimum = 1
6. First Quartile = 4
7. Median = 5
8. Third Quartile = 6
9. Maximum = 8
Step-by-step explanation:
Let's arrange the numbers in order (smallest to largest):
<em>1,2,2,4,4,4,5,5,5,5,6,6,7,8</em>
<em />
We need to find:
1. mean
2. median
3. mode
4. range
<u>Five Number Summary</u>
5. Minimum
6. First Quartile
7. Median
8. Third Quartile
9. Maximum
1.
Mean is the sum of all the numbers divided by the number of numbers.
Mean =
Mean is 4.57
2.
Median is the "middle" number when the data set is arranged in order (already done).
There are 14 numbers, so the middle number would be <em>the average of the 7th and 8th number</em>.
7th number is 5
8th number is 5
Average is (5+5)/2 = 5
Thus, Median = 5
3.
Mode is the number that occurs the MOST. Looking at the range, the "most" occuring number is 5 (it appeared 4 times).
Mode = 5
4.
Range is the highest value minus the lowest value.
Highest value is 8
lowest value is 1
Thus, Range = 8 -1 = 7
Range = 7
<u>Five Number Summary</u>
5.
Minimum value is the lowest value. Thus minimum value is 1.
Minimum = 1
6. First Quartile is the value that is 1/4th. In a total of 14 numbers, the 1/4th value would be 1/4*14 = 3.5. We round to the next number, which is 4th.
Thus, 4th value in the data set is 4.
First Quartile = 4
7.
Median have already been found to be 5.
Median = 5
8. Third quartile is the value that is 3/4th. In a total of 14 numbers, the 3/4th value would be 3/4*14 = 10.5. We round to the next number, which is 11th.
THus, 11th value in the data set is 6.
Third Quartile = 6
9.
The maximum value is the highest value. Looking at the data set, it is 8.
THus, maximum = 8