A random sample of 20 people found that the number of mail-ordercatalogs that th

Question

A random sample of 20 people found that the number of mail-ordercatalogs that they had received in the last month were (in orderfrom lowest to highest):
0 2 2 4 5 5 6 7 8 9 10 10 12 14 15 18 20 21 26 30
a) FInd the range, mean, median, and mode of the dataset.
b)Give the 5-point summary of the data.
c) Find the sample standard deviation.
0 2 2 4 5 5 6 7 8 9 10 10 12 14 15 18 20 21 26 30
a) FInd the range, mean, median, and mode of the dataset.
b)Give the 5-point summary of the data.
c) Find the sample standard deviation.

Explanation / Answer

The data are already arranged in numerical sequence fromsmallest to largest, so that helps a lot. The RANGE is the largest minus the smallest, which is 30 -0   =   30   final answer. There are 20 data points ( n = 20), so the MEDIAN is theaverage of the two in the middle, which is ( 9 + 10 ) / 2 =9.5 The MODE is the value that occurs most often. There aretwo 2's,   two 5's, and two 10's, so there arethree different modes. The MEAN is the sum of these 20 values, then divided by20.   This is 11.2 Use a calculator for the sample std dev to get  8.2755 The 5-number summary, via calculator, is  min=0,     Q1 = 5,    Q2=median=9.5,     Q3=16.5,     max=30

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---