The number of customers who ate at a fast food restaurant between 1: 00 p. m. and 3: 00 p. m. each day last week are listed here: 55, 37, 52, 50, 33, 46, 53 what's the standard deviation of the data set?

ANSWER

The standard deviation is correct the nearest tenth.

EXPLANATION

The data set given to us is .

The standard deviation of the given data set can be calculated using the formula,

where

We now find the standard deviation as follows;

Standard deviation of the data set = 7.84

Step-by-step explanation:

To calculate the standard deviation of the data set first we take the mean of the data .

Mean =

         =

         = 46.57

Now we subtract the mean from data set and square the answer.

55 - 46.57 = 8.43² = 71.06

37 - 46.57 = -9.57² = 91.58

52 - 46.57 = 5.43² = 29.48

50 - 46.57 = 3.43² = 11.76

33 - 46.57 = -13.57² = 184.14

46 - 46.57 = -0.57² = 0.32

53 - 46.57 = 6.43² = 41.34

Then we will take the mean of squared result.

=  

Variance = 61.38775509

Lastly take the square root of variance

=

= 7.835033828 rounded to 7.84

Standard deviation of the data set = 7.84

ab: 2 n83b8eb7ebi. 8e yen in

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.