Mathematics, 29.01.2020 01:06 ooo712772

Here's the data (sorted) of the ages of 91 women who won the oscar for best actress in a leading role:

21, 22, 22, 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 41, 41, 41, 41, 42, 42, 44, 45, 45, 45, 47, 49, 49, 54, 60, 60, 61, 61, 61, 62, 62, 74, 81

give the five number summary.

a. 21, 26, 36, 81, 91
b. 21, 28, 33, 41, 81
c. 21, 26, 30, 54, 81
d. 11.8, 21, 33, 36, 91

Answers: 1

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Answers

Answer from: lydialinton23

B. 21, 28, 33, 41, 81

Step-by-step explanation:

Data : 21, 22, 22, 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 41, 41, 41, 41, 42, 42, 44, 45, 45, 45, 47, 49, 49, 54, 60, 60, 61, 61, 61, 62, 62, 74, 81

Five number summary includes :

1. Minimum vale

2. First Quartile

3. Median : mid value of the given data is 46th term = 33

4.Third Quartile

5.Maximum value

Solution :

1. Minimum vale : smallest value of data = 21

2. First Quartile: median of the data (first number to the actual median) i.e. from 1st term to 46th term

Median for even number of terms : $\frac{\frac{n}{2}th+(\frac{n}{2}+1)th}{2}$

n = 46

so, median = $\frac{\frac{46}{2}th+(\frac{46}{2}+1)th}{2}$

= $\frac{23th+24th}{2}$

= $\frac{28+28}{2}$

= $\frac{56}{2}$

Thus first quartile = 28

3. Median : mid value of the given data(ages of 91 women) is 46th term = 33

4.Third Quartile :median of the data (46th number[actual median] to the 91th)

Median for even number of terms : $\frac{\frac{n}{2}th+(\frac{n}{2}+1)th}{2}$

n = 46

so, median = $\frac{\frac{46}{2}th+(\frac{46}{2}+1)th}{2}$

= $\frac{23th+24th}{2}$

= $\frac{41+41}{2}$

= $\frac{82}{2}$

Thus third quartile = 41

5.Maximum value : highest value of data = 81

Thus the five number summary is 21, 28, 33, 41, 81

Hence Option B is correct

Answer from: Quest

here is your mark brainliest

Answer from: Quest

the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation:

it is given that the coverage rate for wood frame house is 0.7.

the value of wood frame house is 115,000.

$\text{insurance cost}=\text{coverage rate}\times \text{total value of house}$ .

homeowners insurance cost for a 115,000 wood frame house is

$115000\times 0.7=80500$

therefore the homeowners insurance cost for a 115,000 wood frame house is 80,500.

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Here's the data (sorted) of the ages of 91 women who won the oscar for best actress in a leading rol...