Question

calculate first and second quartile. x : 70 80 90 99 102 104. f. : 2. 3. 2. 7. 3. 5​

Answer 1

Answer:

Q1 & Q3 is 90.25 & 102.83

Step-by-step explanation:

X Frequency (f) C.F

70 2 2

80 3 5

90 2 7

99 7 14

102 3 17

104 5 22

N = 22

For First Quartile (Q1)

N/4 = 22/4 = 5.5

Cumulative Frequency greater than N/4 is 7

Q1 = L + (N/4- C. f) / F

Q1 = 90 + (5.5-5) /2

Q1 = 90+0.5/2

Q1 = 90+0.25

Q1 = 90.25

For Third Quartile (Q3)

3N/4 = 3*22/4 =66/4 = 16.5

C. f. just greater than 3N/4 is 17

Q3 = 102+(16.5-14)/3

Q3 = 102+2.5/3

Q3 = 102+0.8333

Q3 = 102.8333

Q3 = 102.83