Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.Calculate the following.
sample mean = x
x = _____ cars

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Answer:

Sample mean = 4.75

Step-by-step explanation:

The sample mean is calculated by drawing the data from the sources and then calculating the mean data. This is done by interpolation.

Given information:

There are total 65 randomly selected car salespersons

x = the number of cars sold in one week

x   |  Frequency  

3      14  

4      19  

5      12  

6      9  

7      11  

Required information:

Find the sample mean  = ?

Answer:

sample mean = 4.75

Step-by-step explanation:

The sample mean is calculated as

sample mean = (3*14+4*19+5*12+6*9+7*11)/65

sample mean = 309/65

sample mean = 4.75

Therefore, the mean number of cars sold in one week is 4.75 or ≈ 5

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