Solution-What is the mean, median, and mode of this data set

What is the mean, median, and mode of this data set

Reference no: EM13953476

1. A small stream has flow data for April as shown in the table:

Date	Q (cfs)	Date	Q (cfs)	Date	Q (cfs)	Date	Q (cfs)	Date	0 (cfs)
1-Apr	248	7-Apr	254	13-Apr	725	19-Apr	215	25-Apr	216
2-Apr	359	8-Apr	596	14-Apr	548	20-Apr	548	26-Apr	843
3-Apr	154	9-Apr	357	15-Apr	921	21-Apr	265	27-Apr	845
4-Apr	856	10-Apr	248	16-Apr	325	22-Apr	157	28-Apr	365
5-Apr	92	11-Apr	368	17-Apr	365	23-Apr	920	29-Apr	282
6-Apr	487	12-Apr	954	18-Apr	219	24-Apr	215 _	30-Apr	204

Analyze this data set and discuss the following:

Raw Data Assessment

(a) Were there any outliers that you discarded? Which ones & Why

(b) Is there a trend to this data?

Ans: Mean = 438, Median = 358, Mode = 248

(d) What is its standard deviation of this data set? What are the upper and lower values of 67% range of the flows and how do these compare to the upper and lower values of the full range of data?

Ans: Std.Dev = 265, Range 174 - 703

(e) What is its Skewness, Standard Error of Skewness, and acceptability of the skewness of this data set?

Ans: Skedness 0.80, ses = 0.45

(f) What is its Kurtosis, Standard Error of Kurtosis, and acceptability of the Kurtosis of this data set?

Ans: Kertosis = -0.78, sek = 0.89

(g) Can a standard (Gaussian) distribution be used to describe this data set?

Probability of Exceedance

-- Construct the ranked exceedance graph of this data ---

(h) What is the best-fit trend line for the exceedance curve?

(1) What is the Correlation Coefficient (R²) for this trend line?

Ans: y=1.466e⁴⁰⁰³ Ans: R² = 0.9203

(.1) If this stream floods the area when Q > 800 cfs. what is the probability that it will flood in January? What is the return period (T) of a flow rate of this stream being equal to or greater than 800 cfs in January? Ans: P = 97.8&. T = 1.02/yr

(k) To be a dependable water source for a small town, this stream must have a 95% probability of providing 135 cfs or greater during a typical January. Is this stream a good water source for this town?

Reference no: EM13953476

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What is the mean, median, and mode of this data set

Reference no: EM13953476

Reference no: EM13953476

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