jasonkindred21
30.10.2019 •
Mathematics
Given the data: 0.90 1.42 1.30 1.55 1.63 1.32 1.35 1.47 1.95 1.66 1.96 1.47 1.92 1.35 1.05 1.85 1.74 1.65 1.78 1.71 2.29 1.82 2.06 2.14 1.27
(a) use hand calculations to determine the mean, median, mode, range, standard deviation, variance, and coefficient of variation.
(b) construct a histogram.use a range from 0.8 to 2.4 with intervals of 0.2.
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Ответ:
Step-by-step explanation:
a) Mean means the average we add all the values in data and divide it by the total number
Mean= 0.9+1.42+1.3+1.55+1.63+1.32+1.35+1.47+1.95+1.66+1.96+1.47+1.92+1.35+1.05+1.85+1.74+1.65+1.78+1.71+2.29+1.82+2.06+2.14+1.27
25
Mean= 40.61
25
Mean= 1.624
Place the values in correct order starting from least
0.9,1.05,1.27,1.30,1.32,1.35,1.35,1.42,1.47,1.47,1.55,1.63,1.65,1.66,1.71,1.74,1.78,1.82,1.85,1.92,1.95,1.96,2.06,2.14,2.29
Median = 1.65 ( this is the middle value odf the data given)
Mode = 1.35 and 1.47
Variance =
in order to find the variance we subtract each data value with mean and square it and then divide all with the total sample size
σ2= (0.9-1.624)²+ (1.42-1.624)²+(1.3-1.624)²+(1.55-1.624)²+(1.63-1.624)²+(1.32-1.624)²+(1.35-1.624)²+(1.47-1.624)²+(1.95-1.624)²+(1.66-1.624)²+(1.96-1.624)²+(1.47-1.624)²+(1.92-1.624)²+(1.35-1.624)²+(1.05-1.624)²+(1.85-1.624)²+(1.74-1.624)²+(1.65-1.624)²+(1.78-1.624)²+(1.71-1.624)²+(2.29-1.624)²+(1.82-1.624)²+(2.06-1.624)²+(2.14-1.624)²+(1.27-1.624)²
25
σ2= 2.764
25
σ2 = 0.1105
Standard Deviation = √σ2
σ -= √0.1105
σ = 0.332
Coefficient of variance = Here we divide standard deviation by mean and multiply by 100
Coefficient of Variance = (0.332÷ 1.624) × 100
Coefficient of Variance = 20.47
b)
Ответ: