In an experiment, the period of oscillation of a simple pendulum was observed to be $2.63 s$ , $2.56 s$ , $2.42 s, 2.71 s$ , and $2.80 s$ . The mean absolute error is:

0.11 s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0.12 s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.13 s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.14 s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $0.11 s$
The mean period of oscillation of the pendulum is
$T_{m e a n} = \frac{\sum_{i = 1}^{n} T_{i}}{n}; T_{m e a n} = \frac{(2.63 + 2.56 + 2.42 + 2.71 + 2.80)}{5} s$
$\frac{13.12}{5} s = 2.624 s = 2.62 s$
(Rounded off to two decimal places)
The absolute errors in the measurement are
$Δ T_{1} = 2.62 s - 2.63 s = 0.01 s; Δ T_{2} = 2.62 s - 2.56 s = 0.06 s$
$Δ T_{3} = 2.62 s - 2.42 s = 0.20 s; Δ T_{4} = - 2.71 s - 0.09 s$
$Δ T_{5} = 2.62 s - 2.80 s = - 0.18 s$
Mean absolute error is
$T_{m e a n} = \frac{\sum_{i = 1}^{n} | Δ T_{i} |}{n}$
$T_{m e a n} = \frac{0.01 + 0.06 + 0.20 + 0.09 + 0.18}{5} s$
= $\frac{0.54}{5} s = 0.11 s$

Suggest Corrections

Similar questions

Q. The period of oscillation of a simple pendulum in the experiment is recorded as

2.63 s, 2.56 s, 2.42 s, 2.71 s

and

2.80 s

. Find the average absolute error.

The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 s, 2.56 s, 2.42, 2.71 s and 2.80 s respectively. Find the average absolute error.

Q. The time period (in

s

) of oscillations of a simple pendulum in an experiment is recorded as

2.36, 2.65, 2.24, 2.17

and

2.08

. The mean absolute error of the measurements is

Q. In an experiment refractive index of glass was observed to be

1.45, 1.56, 1.54, 1.44, 1.54

and

1.53

. The mean absolute error in the experiment is

Join BYJU'S Learning Program

In an experiment, the period of oscillation of a simple pendulum was observed to be 2.63s, 2.56s, 2.42s,2.71s, and 2.80s. The mean absolute error is:

In an experiment, the period of oscillation of a simple pendulum was observed to be $2.63 s$ , $2.56 s$ , $2.42 s, 2.71 s$ , and $2.80 s$ . The mean absolute error is: