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.

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 = 2754 = 68.75
b = 3254 = 81.25
i = 252 = 12.5

Calculated by our linear equations calculator.

Try another example






Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

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









To solve this verbal math problem are needed these knowledge from mathematics:

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?

Next similar math problems:

  1. Ball game
    lopta_3 Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player.
  2. Median and modus
    dice_3 Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell.
  3. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  4. Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  5. 75th percentile (quartille Q3)
    statistics Find 75th percentile for 30,42,42,46,46,46,50,50,54
  6. Box and whisker plot
    box-whisker-plot Construct a box and whisker plot for the given data. 56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43
  7. Evaluation of expressions
    eq222_10 If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
  8. Null points
    absolute value Calculate the roots of the equation: ?
  9. Men, women and children
    regiojet On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?
  10. Square root 2
    parabola_2 If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
  11. Difference AP 4
    sequence_geo_1 Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
  12. Warehouses
    silo_3 In the three warehouses, a total of 70 tons of grain was stored. In the second warehouse was stored 8.5t less and in the third 3.5t more than in the first. How many tons of grain was stored in each warehouse?
  13. Children
    children_3 The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?
  14. Geometric sequence 5
    sequence About members of geometric sequence we know: ? ? Calculate a1 (first member) and q (common ratio or q-coefficient)
  15. Variance and average
    stat Of the 40 values were calculated average mx = 7.5 and variance sx = 2.25. After the control was found to lack the two items of the values of x41 = 3.8 and x42=7. Correct the above characteristics (mx and sx).
  16. Crystal water
    laboratory The chemist wanted to check the content of water of crystallization of chromic potassium alum K2SO4 * Cr2 (SO4) 3 * 24 H2O, which was a long time in the laboratory. From 96.8 g of K2SO4 * Cr2 (SO4) 3 * 24 H2O prepared 979 cm3 solution of base. S
  17. Today in school
    skola There are 9 girls and 11 boys in the class today. What is the probability that Suzan will go to the board today?