Which of the following is the median of the date set below?
3, -5, 9, -1, 0
9
-5
-1
0
Correct Answer : D
The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:
-5, -1, 0, 3, 9
There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.
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Related Questions
Correct Answer is D
Explanation
We are asked to find the number of cups of flour that will be used to make 90 cookies.
First, we convert 2 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
Dividing both sides by 60, the above equation result to
Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.
Correct Answer is C
Explanation
Here we utilize the dimensional analysis of units of measurement of length to convert yards to cm as follows
9 yards is equal to 822.96 cm, which is about 823 cm.
Correct Answer is B
Explanation
We are asked to determine Japheth’s uncle’s age relating to Japheth’s age.
First, express Japheth’s uncle’s age in terms of Japheth’s age as follows
Japheth’s age=k
Japheth’s uncle’s age, u = 3k-10.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=3k-10.
Correct Answer is B
Explanation
We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then
Substituting 169π in place of area
Â
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:
Correct Answer is B
Explanation
The number of cups of milk to make a bigger batch, we proceed as follows:
First convert the mixed number 1 2/5 as
Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator
Find the value of x by cross-products
2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.
Per means division. The above equation becomes
When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus
The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
Correct Answer is A
Explanation
The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.
Correct Answer is B
Explanation
To find the median of a data set, we need to first order the data from least to greatest, then find the middle value.
Step 1: Order the data from least to greatest:
The original data set is:
12,19,7,14,22,26,15
Ordered from least to greatest:
7,12,14,15,19,22,26
Step 2: Find the middle value
Since there are 7 numbers (an odd number of data points), the median will be the middle value, which is the 4th number in the ordered list.
7,12,14,15,19,22,26
The middle value is 15.
Conclusion:
The median of the data set is 15.
The correct answer is B. 15.
Correct Answer is D
Explanation
We use the relation 1 L=1000 mL to convert L to mL.
The two options for converting between L and mL are
And
We use the first option to convert 6.5 L to mL as follows:
Thus, 6.5 L is 6500 mL.
Correct Answer is B
Explanation
The volume V of a rectangular box can be calculated using the formula:
V=length×width×height
Given:
- Length = 8 metres
- Width = 5 metres
- Height = 3 metres
Now, calculate the volume:
V=8 m×5 m×3 m=120 m3
Thus, the volume of the box is 120 cubic metres.
The correct answer is B. 120 m³.
Correct Answer is C
Explanation
The mean of a data set is the sum of all scores divided by the number of tests.
Total test scores = 83+86+76+88+97 = 430
Number of tests = 5
Mean test score = 430/5 = 86
The mean test score is 86.
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