Answer:
Mean: 16.67, Median: 16, Mode: 16
Step-by-step explanation:
Mean: add up all numbers and divide by how many there are.
But when you see the age 14, its frequency is 5; it's as if you wrote 14 down 5 times. Frequency tables help describe long lists of data. So "adding up all numbers" would mean you could expand the list and add them all. HORRIBLE!
14+14+14+14+14+15+15+15+15+15+15+15+15+15+15+ ... There is a better way:
Multiply each age by its frequency and add the products.
14(5)+15(9)+16(18)+17(11)+18(9)+19(5)+20(4) = 1017. How many data values are there? Add the frequencies
5+9+18+11+9+5+4 = 61
The mean is 1017 / 61 = 16.67 (rounded).
Median: We need the number in the middle of the data list, but the numbers have been grouped by frequency. There are 61 data values. The one in the middle must be the 31st number (30 numbers less than the median, 30 numbers greater than the median).
Add up frequencies starting with the first one until you can tell where & what the 31st age is.
5
5+9 = 14
5 + 9 + 18 = 32 Aha! The 31st age must be one of the 16s.
The median is 16.
Mode: is there an age that occurs more often than any of the others? Yes, it is 16, which occurs 18 times. No other age occurs that often.
We are given with wedges with angles 25 degrees and 14 degrees. In this case, we can determine the arc length by determining as well the radius of the wedge and converting the degrees of angle to radians. If radius is assumed to be equal, then the wedge with larger angle has a larger arc length
find the least common denominator then change fractions to have the same denominator, add them together and then reduce the fraction if possible
DescriptionIn Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. In Euclidean geometry a transformation is a one-to-one correspondence between two sets of points or a mapping from one plane to another.
Answer:
x = -9
Step-by-step explanation:
