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odalyarreola18
29.08.2019 •
Mathematics
Which product is negative? a. –3 • 5 • (–6) • 4 b. –7 • (–3) • (–9) • 0 c. –4 • (–6) • (–3) • (–5) d. –3 • 4 • (–2) • (–7)
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Ответ:
B. (-7)(-3)(-9)(0)=0
C. (-4)(-6)(-3)(-5)=360
D. (-3)(4)(-2)(-7)= -168(This is the answer)
Ответ:
a) Mean = 8.6; Median = 6; Range = 4 to 15; Mid-range = 9.5; Standard deviation = 4.5
b) the sample minimum - 4; the first quartile - 4; the median - 6; the third quartile - 14; the sample maximum - 15
Box plot attached
Step-by-step explanation:
As the question doesn't clearly mention the response of each of Andrew's friends, it is assumed as 15, 12, 5, 14, 4, 4, 6 as there should be 7 responses
a)
Step 1: Find the mean
Mean is the value obtained by dividing the sum of several quantities by their number
Mean = (sum of all values)/(number of values)
Mean = (15+12+5+14+4+4+6)/(7)
Mean = 60/7
Mean = 8.57
Mean = 8.6
Step 2: Find the median
Median denotes the value or quantity at the midpoint of a frequency distribution of values or quantities, meaning there is an equal probability of a value in the range being above or below it
Ordered distribution : 4, 4, 5, 6, 12, 14, 15
Median = 6
Step 3: Find the range
The range is the area of variation between upper and lower limits on a particular scale
Range = 4 to 15
Step 4: Find the mid-range
Mid-range is the arithmetic mean of the largest and the smallest values in a sample
Mid-range = (lowest value + highest value)/2
Mid-range = (4 + 15)/2
Mid-range = (19)/2
Mid-range = 9.5
Step 5: Find the standard deviation
Standard deviation is a value expressing by how much members of a group differ from the mean value for the group. It is calculated by taking the square root of the sum of the squares of the difference between each value and the mean divided by the number of values
Standard deviation = sqrt{sum[(mean - value)^2]/number of values}
Standard deviation = sqrt{[(8.57-4)^2 + (8.57-4)^2 + (8.57-5)^2 + (8.57-6)^2 + (8.57-12)^2 + (8.57-14)^2 + (8.57-15)^2]/7}
Standard deviation = sqrt{[(4.57)^2 + (4.57)^2 + (3.57)^2 + (2.57)^2 + (-3.43)^2 + (-5.43)^2 + (-6.43)^2)]/7}
Standard deviation = sqrt{[20.885 + 20.885 + 12.745 + 6.605 + 11.765 + 29.485 + 41.345]/7}
Standard deviation = sqrt{143.715/7}
Standard deviation = sqrt{20.531}
Standard deviation = 4.53
Standard deviation = 4.5
b)
The five number summary is a set of descriptive statistics that provides information about a set of values:
the sample minimum - 4the first quartile - 4the median - 6the third quartile - 14the sample maximum - 15The box plot showing these values is attached