find tge mean, meadian, mode, and range for the set of numbers {76, 37, 56, 53, 46, 37, 63, 67, 36, 46, 55, 66}.
a) mean=
b) median=
c) mode=
d) range=
is a) 53.17 b) 54 c) 37 and 46 d) 40
if they are wrong can you tell me why?
They are all correct.
A is correct because the mean is the sum of all the numbers (638) divided by the quantity of numbers (12)
B is correct because if you arrange the numbers in order from lowest value to greatest value, the 2 middle numbers are 53 and 55, and 54 is the # between those two
C is correct because mode is the numbers that occur the most often. 37 and 46 both occur twice
D is correct because the range is the greatest number (76) minus the smallest number (36)
To find the mean, median, mode, and range of a set of numbers, you can follow these steps:
a) Mean: To find the mean, you need to sum up all the numbers in the set and then divide the total by the count of numbers in the set.
Mean = (76 + 37 + 56 + 53 + 46 + 37 + 63 + 67 + 36 + 46 + 55 + 66) / 12
Mean = 663 / 12
Mean ≈ 55.25
b) Median: To find the median, you need to arrange the numbers in the set in ascending order and then find the middle value. If there are two middle values, you need to take their average.
Arranging the set in ascending order: 36, 37, 37, 46, 46, 53, 55, 56, 63, 66, 67, 76
Since there are 12 numbers, the middle values are the 6th and 7th numbers.
Median = (53 + 55) / 2
Median = 54
c) Mode: The mode is the number(s) that appear(s) most frequently in the set.
In the given set, the numbers 37 and 46 appear twice, which is more frequently than any other number.
So, the mode for this set is 37 and 46.
d) Range: To find the range, subtract the smallest value from the largest value in the set.
Range = 76 - 36
Range = 40
Based on these calculations, the correct answers are:
a) Mean ≈ 55.25
b) Median = 54
c) Mode = 37 and 46
d) Range = 40
So, the given answers are incorrect for the mean and mode.