All Exams Test series for 1 year @ ₹349 only
Question

The weights of 5 ear-heads of sorghum are 100, 102, 118, 124, 126 grams. Find the standard deviation.

(Round off your answer to two decimal places.)

This question was previously asked in
RRB Technician 2026 Grade 3 Question Paper (7-Oct-2026) (Shift 3)
The correct answer is

10.95 grams

Mean: \(\bar{x} = \frac{100 + 102 + 118 + 124 + 126}{5} = \frac{570}{5} = 114\) grams.

Deviations from the mean: −14, −12, 4, 10, 12.

Squares of deviations: 196, 144, 16, 100, 144; their sum is 600.

Variance: \(\sigma^2 = \frac{600}{5} = 120\).

Standard deviation: \(\sigma = \sqrt{120} \approx 10.954\), which rounds to 10.95 grams.

Hence, the answer is 10.95 grams.

Was this answer helpful?

Similar Questions

  1. The variance of data set I, of 14 readings is 6.76. Data set II, is formed by multiplying each of the readings of data set I by 9 and data set III is formed by adding 7 to all the readings of data set I. Find the average of the standard deviations of data sets II and III.


Important Questions from Variance and Standard Deviation

  1. Consider a population that is finite, and sampling is with replacement. If the variance of the population is 2176.8 with a sample size of 16, then the variance of the sampling distribution of means is:

  2. If \(\rm \displaystyle \sum_{i = 1}^{10}x_i = 110\)  and  \(\rm \displaystyle \sum_{i = 1}^{10}x_i^2 = 1540\)   then what is the variance?

  3. The sum of deviations of n numbers from 10 and 20 are p and q respectively. If (p - q)2 = 10000, then what is the value of n?

  4. The fourth central moment of a mesokurtic distribution is 243. Its standard deviation is:

  5. The standard deviation of the first 10 natural numbers is 3.028. What will be the standard deviation of the first 20 natural numbers?

Need Expert Advice?
Upcoming Exams
RRB JE
October 27, 2026
RRB ALP
November 03, 2026
Test Series
RRB Technicians img
Railways
RRB Technician Grade 1 (Signal) 2026 Mock Test Series
270 Tests 3 Tests Free
7598 Attempts
4.8(211)
English, Hindi, Bengali +7 More
More Questions from RRB Technicians

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App