A frequency distribution for the response time for EMTs after a 911 call is shown below. Response Time for EMTS

Frequency

Response Time

(in minutes)

7-7.9

19

8-8.9

23

9-9.9

38

47

10 - 10.9

11 - 11.9

12 - 12.9

43

29

13-13.9

21

Step 2 of 2: Calculate the population variance for the response time. Round any intermediate calculations, if needed, to no less than four decimal places, and round

your final answer to two decimal places.

σ² = 2.90

Step-by-step explanation: For a frequency table, population variance is calculated by:

where

f is frequency

μ is expected value or mean of the distribution

In this case, mean of the distribution for a grouped frequency table is calculated by:

where

x is (as the data is grouped) the mid value of the response time

So, the table is

x          |      f

6.45    |    18

7.45    |    21

8.45    |    34

9.45    |    46

10.45   |    46

11.45    |    25

12.45   |    21

And mean will be:

μ = 9.5874

To calculate the variance, the formula above is transformed into

So, to facilitate the calculations, divide each term in a table:

    f      |      x     |      f.x       |        f.x²    

   18    |    6.45  |    116.1     |   748.845

   21    |   7.45   |  156.45   |  1165.5525

   34   |  8.45    |  287.3     | 2427.685

   46   |  9.45    | 434.7      |  4107.915

   46   | 10.45   | 480.7      |  5023.315

   25   |  11.45   | 286.25    |  3277.5625

   21    | 12.45   | 261.45     | 3255.0525

∑ 211   |             |  2022.95 |  20005.9275

Population variance will be:

= 19394.9133

σ² = 2.90

The population variance for the response time for EMTs is 2.90.

109 is the nearest whole number/final answer! : )

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.