Calculate the standard deviation of the given frequency distribution.

Step 1: Calculate the mid-point (x) for each class interval, fx, and fx². Amount (K) — Frequency (f) — Mid-point (x) — fx — x² — fx²0 ≤ x < 20 — 5 — 10 — 50 — 100 — 500 20 ≤ x < 40 — 20 — 30 — 600 — 900 — 18000 | $40

Calculate the standard deviation of the given frequency distribution.

Step 1: Calculate the mid-point (x) for each class interval, fx, and fx². Amount (K) — Frequency (f) — Mid-point (x) — fx — x² — fx²0 ≤ x < 20 — 5 — 10 — 50 — 100 — 500 20 ≤ x < 40 — 20 — 30 — 600 — 900 — 18000 | $40

Solved: Calculate the standard deviation of the given…

Step 1: Calculate the mid-point ( $x$ ) for each class interval, $fx$ , and $fx^2$ .

Amount (K)	Frequency ( $f$ )	Mid-point ( $x$ )	$fx$	$x^2$	$fx^2$
$0 \le x < 20$	5	10	50	100	500
$20 \le x < 40$	20	30	600	900	18000
$40 \

Calculate the standard deviation of the given frequency distribution.

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