Three coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows:
$0, 1, 2, 2, 1, 2, 3, 1, 3, 0,$
$1, 3, 1, 1, 2, 2, 0, 1, 2, 1,$
$3, 0, 0, 1, 1, 2, 3, 2, 2, 0$
Prepare a frequency distribution table for the data given above.
$0, 1, 2, 2, 1, 2, 3, 1, 3, 0,$
$1, 3, 1, 1, 2, 2, 0, 1, 2, 1,$
$3, 0, 0, 1, 1, 2, 3, 2, 2, 0$
Prepare a frequency distribution table for the data given above.
(A) To prepare the frequency distribution table,we count the occurrences of each possible number of heads $(0, 1, 2, 3)$:
- Number of heads $0$: Occurs $6$ times.
- Number of heads $1$: Occurs $10$ times.
- Number of heads $2$: Occurs $9$ times.
- Number of heads $3$: Occurs $5$ times.
Total count = $6 + 10 + 9 + 5 = 30$.
- Number of heads $0$: Occurs $6$ times.
- Number of heads $1$: Occurs $10$ times.
- Number of heads $2$: Occurs $9$ times.
- Number of heads $3$: Occurs $5$ times.
Total count = $6 + 10 + 9 + 5 = 30$.
| Number of heads | Frequency (Number of tosses) |
|---|---|
| $0$ | $6$ |
| $1$ | $10$ |
| $2$ | $9$ |
| $3$ | $5$ |
| Total | $30$ |
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