Doctor 2

A doctor noted the Diastolic Blood Pressure (DBP) of a large number of patients. Later, he scrambled the data to keep the privacy of his patients. Based on the scrambled dataset, he finds that the lower inner fence is equal to 50 and the upper inner fence is equal to 100. Find the IQR value, which is defined as the difference between the third quartile and the first quartile.

Correct result:

i =  12.5

Solution:


a - 1.5•i = 50
b + 1.5•i = 100
i = b-a

a-1.5i = 50
b+1.5i = 100
a-b+i = 0

a = 275/4 = 68.75
b = 325/4 = 81.25
i = 25/2 = 12.5

Our linear equations calculator calculates it.



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 1 comment:
#
Dr Math
Little help:

lower inner fence: Q1 - 1.5*IQR
upper inner fence: Q3 + 1.5*IQR
lower outer fence: Q1 - 3*IQR
upper outer fence: Q3 + 3*IQR

in example Q1=a, Q3 = b , IQR = i

avatar









Tips to related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Would you like to compute count of combinations?

 
We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • Dataset:
    statistics Dataset: 35 22 18 54 22 46 28 31 43 22 14 17 25 19 33 14. 1 Group the data into a grouped distribution using 6 classes of equal width. 2. Determine the mean, median and mode using the raw data. 3. Draw an Ogive curve corresponding to the data and use it t
  • A book
    books_32 A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
  • The data
    statistics The data set represents the number of cars in a town given a speeding ticket each day for 10 days. 2 4 5 5 7 7 8 8 8 12 What is the IQR?
  • Mean
    avg A student food the mean of 50 items as 38.6. When checking the work he found that he had taken one item as 50 why it should correctly read as 40 in this circumstances. What should be the correct mean?
  • STRESSED word
    DESSERTS Each letter in STRESSED is printed on identical cards, one letter per card, and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled.
  • Two numbers
    maxwells-equation We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers.
  • Vector perpendicular
    3dperpendicular Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1)
  • Find x 2
    sphere Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.
  • Families 2
    family_24 Seven hundred twenty-nine families are having six children each. The probability of a girl is 1/3, and the probability of a boy is 2/3. Find the number of families having two girls and four boys.
  • Statistics quiz
    normal_d_1 Fill in the missing word 1. in a data set, the mean, median and mode are measured of ________________ 2. "The manipulation of variables under controlled conditions"is the data collection method known as______________ 3. in a normal distribution, the area
  • The Hotel
    hotel-montfort-tatry-2_2 The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor, no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in
  • Evaluation of expressions
    eq222_10 If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
  • Utopia Island
    doktori A probability of disease A on the island of Utopia is 40%. A probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women on Ut
  • Three digits number 2
    numbers_7 Find the number of all three-digit positive integers that can be put together from digits 1,2,3,4 and which are subject to the same time has the following conditions: on one positions is one of the numbers 1,3,4, on the place of hundreds 4 or 2.
  • Coils of transformer
    transformator The primary coil of the transformer has 400 turns, a current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and a number of turns if the transformation ratio k = 0.1.
  • Average mark
    flag_english Calculate average mark in English, if a student got a couple of 3's, 20% less 2 than 3, and 50% more 1's than the 2's.
  • Balls
    stats We have n identical balls (numbered 1-n) is selected without replacement. Determine 1) The probability that at least one tensile strength number coincides with the number of balls? 2) Determine the mean and variance of the number of balls, which coincides