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3 years ago

Consider Frank's math test scores for the semester. Find the interquartile range of the scores.

1 answer:

4 0

Okay so you put the numbers in order:
70, 74, 81, 82, 83, 91, 94.

Then you find the median which will be Q2:
82.

Once you have the total median, you find the midpoint of the first and last part:
70, 74, 81. Midpoint/Q1=74
83, 91, 94. Midpoint/Q3=91

Now that you have that, you subtract Q3 and Q1.
91-74=17

17 is your IQR.

You might be interested in

The total dinner bill for five persons at a restaurant was $203.25. What was the average cost per person in dollars ?

Norma-Jean [14]

Hello! To find the average of something, multiply the total of something by the number of units. In this case, we divide the total bill by 5 people to get the average cost per person. 203.25/5 is 40.65. There. The average cost of dinner per person was $40.65.

7 0

3 years ago

The researchers are concerned that the dollars spent per shopper examined in the study is too different from what has been found

Katarina [22]

Answer:

Step-by-step explanation:

Hello!

To study if the average dollars spend per shopper is different than the expected population average of $84.5 there was a sample of 120 shoppers taken and their spending habit registered.

Then the study variable is:

X: Amount of money spent by a shopper ($)

This population standard deviation is σ= $16

Using the data information I've run a normality test, with p-value: 0.3056 against the test significance level α: 0.05, the decision is to not reject the null hypothesis so there is enough statistical evidence to conclude that the study variable has a normal distribution.

X~N(μ;σ²)

I've also calculated the sample mean and standard deviation:

X[bar]= $81.01

S= $19.62

If the objective is to test that the true mean spending for the population is significantly different than the expected average of 84.5, the parameter of interest is the population mean μ and the hypothesis test will be two-tailed.

H₀: μ = 84.5

H₁: μ ≠ 84.5

α:0.05

The statistic is a standard normal for one sample:

$Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~N(0;1)$

$Z_{H_0}= \frac{81.01-84.5}{\frac{16}{\sqrt{120} } } = -2.389$

p-value two tailed 0.016894

The decision rule using the p-value method is:

If p-value ≤ α ⇒ Reject the null hypothesis.

If p-value > α ⇒ Do not reject the null hypothesis.

Since the p-value is less than the significance level, the decision is to reject the null hypothesis.

Using a level of significance of 5% the null hypothesis was rejected. So there is enough statistical evidence to support the researcher's claim that the true mean spending for the population is significantly different than the expected average of $84.5.

I hope it helps!

3 0

3 years ago

Need some help working these out

s2008m [1.1K]

Answers:

Problem 1) 40 degrees
Problem 2) 84 degrees
Problem 3) 110 degrees

===============================================

Explanation:

For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.

For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.

Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.

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

For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.

This all means that angle DEF is a right angle and 90 degrees.

So,

(angle DEP) + (angle PEF) = angle DEF

(angle DEP) + (35) = 90

angle DEP = 90 - 35

angle DEP = 55

The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.

3 0

3 years ago

Tell me how do you find out how many Calendar days are in 7 standard years

larisa86 [58]

2556.6975 days

Your answer would be

7 0

3 years ago

X÷3.7=5? Need help.

Hatshy [7]

Answer:

x = 18.5

Step-by-step explanation:

Multiply 5 and 3.7.

Which equals 18.5.

Check: 18.5 / 3.7 = 5.√

7 0

3 years ago