1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
luda_lava [24]
3 years ago
8

The following data represent the​ high-temperature distribution for a summer month in a city for some of the last 130 years. Tre

at the data as a population. Complete parts​ (a) through​ (c).
Temperature Lower Limit Upper Limit Days
50-59 50 59 2
60-69 60 69 313
70-79 70 79 1419
80-89 80 89 1503
90-99 90 99 319
100-109 100 109 9

Required:
Approximate the mean and standard deviation for temperature.
Mathematics
1 answer:
geniusboy [140]3 years ago
8 0

Answer:

The mean is  \= x  = 79.7

The standard deviation  \sigma =7.81

Step-by-step explanation:

From the question we are told that

  The data given is  

Temperature                Lower Limit           Upper Limit               Days

50-59                               50                             59                          2

60-69                                 60                            69                        313

70-79                                  70                           79                          1419

80-89                                   80                          89                         1503

90-99                                   90                          99                          319

100-109                                100                         109                         9        

Generally the average of each limit is evaluated as

Temperature    Lower Limit   Upper Limit         Average(x_i)                    Days(f_i)

50-59                 50                   59              ( 50 + 59 )/2 =54.5                 2

60-69                 60                   69              (60+69)/2 = 64.5                    313

70-79                 70                    79               (70+79)/2 =74.5                    1419

80-89                 80                   89                (80+89)/2 =84.5                  1503

90-99                 90                   99                 (90+99)/2 = 94.5                319

100-109             100                  109                 (100+109)/2 = 104.5            9  

Generally the mean is  evaluated as

     \mu  =  \frac{\sum x_i f_i}{\sum f_i}

=>  \mu  =  \frac{ (54.5 * 2) + (64.5 * 313) +\cdots +(104.5 *  9)}{2 + 313 +\cdots + 9}

=> \= x  = 79.7

Generally the standard deviation  is  evaluated as

    \sigma = \sqrt{ \frac{\sum[ f_i * ( x_i^2 - \= x^2)] }{\sum f_i}}

=>   \sigma =\sqrt{ \frac{[2 * [(54.5)^2) - 79.7^2 ]]+[313 *[ (64.5)^2)-79.7^2] +\cdots +[9 *[ (104.5)^2)- 79.7^2]  }{2 + 313 +\cdots + 9}}

=>  \sigma =7.81

   

You might be interested in
Please someone help me, it’s due today
Len [333]

Step-by-step explanation:

not sure about last question but...did it with all my will..

3 0
3 years ago
In the pattern above what will the 4th figure look like
Naddik [55]

Answer:

I don't know

Step-by-step explanation:

because I don't see the pattern

4 0
3 years ago
Which of the following numbers is a factor of 78?
Aloiza [94]

Step-by-step explanation:

78 = 2 * 39 = 2 * 3 * 13.

Since 6 = 2 * 3 and its factors can be found in 78,

Hence the answer is 6. (C)

4 0
3 years ago
Which expression is equivilent to 6(3x-4)+2x
motikmotik

Answer:

44x,

Step-by-step explanation:

you can expand the brackets which equals 18x + 24 (or subtract 24 if the expression is 6(3x-4)) at the end of the equation you will add 2 which would give you 44x

4 0
2 years ago
The glee club needs to raise money for the spring trip to Europe, so the members are assembling holiday wreaths to sell. Before
Ksju [112]

Answer:

5 pinecones on the deluxe wreath and 4 pinecones on the regular wreath

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Rounding 0.912 to the nearest hundredth
    15·2 answers
  • in Circle G R = 3 units Maria draws a circle with double the area of circle G what is the area of Maria's Circle?​
    14·1 answer
  • Please hurry I need this answer fast​
    6·2 answers
  • Which answer is it ?
    14·1 answer
  • If angle 1 and 2 are linear. If m<1=x-9 and m<2=x+47. What’s the measure of wach angle
    5·1 answer
  • 1. Which of the following represents the relationship shown in the table below?
    11·1 answer
  • Least fraction from least to greatest 8/9, 17/29,14/29,9/29
    14·2 answers
  • Write an equation to solve and find tge answer to the following rate problem. Show all of your work. A gardening store sells 6 p
    5·1 answer
  • Hshsjshshsjsksjjsbsbbs bc hd​
    8·1 answer
  • An angle bisector of a triangle divides the opposite side of the triangle into segments2 cm and 5cm long. The second side of the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!