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2 years ago

The following data represent the length of life in

Mathematics

1 answer:

Natali [406]2 years ago

4 0

Answer:

(a) For the stem-and-leaf plot, we need to organise all data in columns, one column is the stem and a second column is the leaf, but in this case, stems are going to be the digits to the left of the decimal point, and leafs are the digits to the right of the decimal point:

Stem Leaf

0 2 2 2 3 3 4 5 7

1 0 2 3 5 5 8

2 0 3 5

3 0 3

4 0 5 7

5 0 5 6 9

6 0 0 0 5

(b) Relative frequency distribution.

Remember that, a relative frequency is calculated dividing the absolute frequency by the total data, in this case, we approximated to the hundredth.

Length of life Absolute Frequency Relative Frequency % Relative Freq.

0.2 3 0.1 10

0.3 2 0.07 7

0.4 1 0.03 3

0.5 1 0.03 3

0.7 1 0.03 3

1.0 1 0.03 3

1.2 1 0.03 3

1.3 1 0.03 3

1.5 2 0.07 7

1.8 1 0.03 3

2.0 1 0.03 3

2.3 1 0.03 3

2.5 1 0.03 3

3.0 1 0.03 3

3.3 1 0.03 3

4.0 1 0.03 3

4.5 1 0.03 3

4.7 1 0.03 3

5.0 1 0.03 3

5.5 1 0.03 3

5.6 1 0.03 3

5.9 1 0.03 3

6.0 3 0.10 10

6.5 1 0.03 3

Total 30

(c)

To calculate the sample mean we need to sum all number, which results: 83.9. Then, we divide this result to the total 30, which result: 2.80.

The sample range is the difference between the highest and the lowest value: 6.5 - 0.2 = 6.3.

The sample standard deviation is calculated trough the following process:

Step 1: Subtract the mean from each number.

Step 2: Square each result.

Step 3: Add the squared deviations.

Step 4: Divide the sum by one less the total.

Step 5: Take the square root, and there you have it.

Doing this steps, the result is 2.22.

This last process is attached:

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Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the Mean for sample of taste of pizza in California:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the Mean for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The Variance for the sample in California is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50

The Variance for the sample in Iowa is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in California, the Range is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

Mean = 33.1;
Variance = 120.50;
Range = 32;

For Iowa:

Mean = 24.5;
Variance = 32.73;
Range = 19;

6 0

2 years ago

Which number has the lowest value ? a) 1/2 +0.30 b) 0.10 + 3/4 c) 1/3 + 0.50 d) 1/3 +0.40

Leto [7]

Hey!

-------------------------------

Let's Solve A:

1/2 = 0.5

0.5 + 0.30 = 0.80

a = 0.80

-------------------------------

Let's Solve B:

3/4 = 0.75

0.10 + 0.75 = 0.85

b = 0.85

-------------------------------

Let's Solve C:

1/3 ≈ 0.33

0.33 + 0.50 = 0.83

c = 0.83

-------------------------------

Let's Solve D:

1/3 ≈ 0.33

0.33 + 0.40 = 0.73

d = 0.73

-------------------------------

Answer:

By solving each equation we can see that option A has the lowest value!

-------------------------------

Hope This Helped! Good Luck!

8 0

2 years ago

Jose rides his bicycle for 5 minutes to travel 8 blocks. He rides for 10 minutes to travel 16 blocks.

kolbaska11 [484]

Answer:

A=8 B=15 C=40

Step-by-step explanation:

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4 0

2 years ago

Read 2 more answers

A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding e

aleksandr82 [10.1K]

Answer:

1. Statistics

2. Sample

3. Population

4. Variable

5. Data

6. Parameter

Step-by-step explanation:

1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50

2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50

3. Population is the group of people from which the sample was taken - All people who drive on Highway 50

4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway

5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove

6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50

4 0

2 years ago

James has some apples and oranges. The ratio of apples and oranges is 2:5 He has 15 oranges.

patriot [66]

Answer:

6 apples

Step-by-step explanation:

so basically if the ratio is 2:5

then divide 15/5

so you know that each proportion is 3

then 3x2=6

so the ans is 6

pls mark me brainliest

5 0

2 years ago