Skip to content
Exercise 8.2 · Q12
Q.

Find the variance and S.D. of the following frequency distribution which gives the distribution of 200 plants according to their height.

Height (in cm)14-1819-2324-2829-3334-3839-4344-48
No. of plants518447036225
Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
22% · 12/55 Questions
🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

Step 1: Take the mid-value of each class: 16, 21, 26, 31, 36, 41, 46, with N=∑fi=5+18+44+70+36+22+5=200N=\sum f_i=5+18+44+70+36+22+5=200.

Step 2: ∑fixi=80+378+1144+2170+1296+902+230=6200\sum f_ix_i = 80+378+1144+2170+1296+902+230=6200, so xˉ=6200/200=31\bar{x}=6200/200=31.

Step 3: ∑fixi2=1280+7938+29744+67270+46656+36982+10580=200450\sum f_ix_i^2 = 1280+7938+29744+67270+46656+36982+10580=200450. …

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.