| $x$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ | $9$ | $10$ | $11$ | $12$ |
| $f$ | $51$ | $203$ | $383$ | $525$ | $532$ | $408$ | $273$ | $139$ | $43$ | $27$ | $10$ | $4$ | $2$ |
|
$x_i$
|
$f_i$
|
$f_ix_i$
|
$\text{x}_{\text{i}}-\overline{\text{X}}$
|
$\big(\text{x}_{\text{i}}-\overline{\text{X}}\big)^2$
|
$\text{f}_{\text{i}}\big(\text{x}_{\text{i}}-\overline{\text{X}}\big)^2$
|
|
$0$
|
$51$
|
$0$
|
$-3.88$
|
$15.05$
|
$767.55$
|
|
$1$
|
$203$
|
$203$
|
$-2.88$
|
$8.29$
|
$1682.87$
|
|
$2$
|
$383$
|
$766$
|
$-1.88$
|
$3.53$
|
$1351.99$
|
|
$3$
|
$525$
|
$1575$
|
$-0.88$
|
$0.77$
|
$404.25$
|
|
$4$
|
$532$
|
$2128$
|
$0.12$
|
$0.014$
|
$7.448$
|
|
$5$
|
$408$
|
$2040$
|
$1.12$
|
$1.25$
|
$510$
|
|
$6$
|
$273$
|
$1638$
|
$2.12$
|
$4.49$
|
$1225.77$
|
|
$7$
|
$139$
|
$973$
|
$3.12$
|
$9.73$
|
$1352.47$
|
|
$8$
|
$43$
|
$344$
|
$4.12$
|
$16.97$
|
$729.71$
|
|
$9$
|
$27$
|
$243$
|
$5.12$
|
$26.21$
|
$707.67$
|
|
$10$
|
$10$
|
$100$
|
$6.12$
|
$37.45$
|
$374.5$
|
|
$11$
|
$4$
|
$44$
|
$7.12$
|
$50.69$
|
$202.76$
|
|
$12$
|
$2$
|
$24$
|
$8.12$
|
$65.93$
|
$131.86$
|
|
|
$\sum\text{f}_{\text{i}}=\text{N}=2600$
|
$\sum\text{f}_{\text{i}}\text{x}_{\text{i}}=10078$
|
|
|
$\sum\text{f}_{\text{i}}\big(\text{x}_{\text{i}}-\overline{\text{X}}\big)^2=9448.848$
|
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
A : Sum of numbers on two dice is divisible by 3 or 4.
B : The sum of numbers on two dice is 7.
C : Odd number on the first die.
D : Even number on the first die.
E: Check whether events A and B are mutually exclusive and exhaustive.
F: Check whether events C and D are mutually exclusive and exhaustive.