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2 years ago

Determine the median modles IQR and range for the data 3,8,6,6,4,6,9,9,12

Mathematics

1 answer:

Nataly_w [17]2 years ago

7 0

The median of the data is 6 and the IQR will be 4.

<h3>What are median and IQR?</h3>

The median is the number separating the greater half from the lower half of a sample data in probability theory and statistics. The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics.

To calculate the median first arrange the data in the increasing order and then find the mid value.

3,4,6,6,6,8,9,9,12

The middlemost value will be the median.

Median = 6

To calculate the IQR convert the data into lower limits and the upper limits from the median and then calculate the IQR.

3,4,6,6, |6| ,8,9,9,12

Lower Upper

Q1 = (4 + 6)/2 = 5

Q2 = ( 9+9)/2 = 9

IQR = 9 - 5 = 4

Therefore, the median of the data is 6 and the IQR will be 4.

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How do i find the standard deviation of test scores

user100 [1]

Answer:

Step-by-step explanation:

Solve for the mean (average) of the five test scores.

Subtract that mean from each of the five original test scores. Square each of the differences.

Find the mean (average) of each of these differences you found in Step 2.

Take the square root of this final mean from #3. This is the standard deviation.

4 0

3 years ago

Read 2 more answers

Taisha is making birthday gift bags. she wants to put 1/2 pound of chocolate in each bag. she has 4 3/4 pounds of chocolate. how

Varvara68 [4.7K]

Taisha is making gift bags for birthday. She intends to fill each bag with ½ pound of chocolate. Her chocolate bag weighs 4 ¾ pounds. Taisha can make 9.5 gift bags for the birthday.

This is calculated as,

There are 4 ¾ pounds of chocolate.

Each bag will have ½ pound of chocolate.

½ pound × Gift bags = 4 ¾ pounds.

4 ¾ pounds ÷ ½ pound = Gift bags.

4 ¾ pounds is 4.75 pounds and ½ pound is 0.5 pounds.

4.75 pounds ÷ 0.5 pound = 9.5 bags.

Hence , Taisha could make 9.5 gift bags for the birthday.

To solve more such problems on Pounds visit : brainly.com/question/20550400

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7 0

2 years ago

52% of all Americans are home owners. If 45 Americans are randomly selected, find the probability that a. Exactly 21 of them are

Nataly [62]

Answer:

0.0918 ; 0.6277 ; 0.6064; 0.5055

Step-by-step explanation:

Given that :

Proportion of home owners : p = 0.52

Number of trials = 45

Using binomial distribution formula :

P(x =x) = nCr * p^x * (1 - p)^(n-x)

A.) probability that exactly 21 are homeowners :

P(x = 21) = 45C21 * 0.52^21 * (1 - 0.52)^(45 - 21)

P(x = 21) = 45C21 * 0.52^21 * 0.48^24

P(x = 21) = 3773655750150 * 0.52^21 * 0.48^24

P(x = 21) = 0.0918

b. At most 24 of them are are home

Using the binomial probability to save computation time.

P(x ≤ 24) = p(0) + p(1) +.... + p(24)

P(x ≤ 24) = 0.6277

C.) At least 23 of them are home owners.

P(x ≥ 23) = p(23) + p(24) +... + p(45)

P(x ≥ 23) = 0.6064

d. Between 20 and 24 (including 20 and 24) of them are home owners.

P(20 ≤ x ≤ 24) = p(20) + p(21) + p(22) + p(23) + p(24)

P(20 ≤ x ≤ 24) = 0.0711 + 0.0918 + 0.1084 + 0.1175 + 0.1167

P(20 ≤ x ≤ 24) = 0.5055

8 0

3 years ago

Tonisha is purchasing a number of stamps. She wants some idea of how many she can buy.

____ [38]

Answer:

9 stamp

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansi

dusya [7]

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000

7 0

3 years ago