Saul decides to use the IQR to measure the spread of data. Saul calculates the IQR of the data set to be 27. Saul asks Jasmine to check his work. Saul copies the data in numerical order from least to greatest for Jasmine. 25, 30, 50, 50, 50, 50, 56, n, 250. What is the value of n that will make the IQR of the data set equal to 27?

Step-by-step explanation:

The inter quartile range is expressed as

Third quartile - first quartile

First quartile is the 25% mark

Third quartile is the 75% mark

The given set of data is expressed as

25, 30, 50, 50, 50, 50, 56, n, 250

total number of sample = 9

Median = 50

The median separates the data into two equal halves, the lower and the upper halve.

The middle of the lower halve is the first quartile, Q1

The middle of the second halve is the third quartile, Q3

Therefore,

Q1 = (30 + 50)/2 = 40

Q3 = (56 + n)/2

For the IQR of the data set to be equal to 27, it means that

(56 + n)/2 - 40 = 27

(56 + n)/2 = 27 + 40 = 67

56 + n = 2 × 67 = 134

n = 134 - 56

n = 78

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5