Yall help please Sandeep sat 11 tests in January 2020.

Each test was marked out of 60.

Here are his test results .

45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42

Find the interquartile range of these test results.

Given:

The data values are 45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42.

To find:

The interquartile range of these test results.

Solution:

We have, the set of data values.

45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42

Arrange the data in ascending order.

35, 37, 38, 39, 41, 42, 43, 44, 45, 47, 47

Divide the data in two equal parts.

(35, 37, 38, 39, 41), 42, (43, 44, 45, 47, 47)

Divide each parenthesis in two equal parts.

(35, 37), 38, (39, 41), 42, (43, 44), 45, (47, 47)

Here,

First quartile:

Third quartile:

Now, the interquartile range is

Therefore, the interquartile range of these test results is 7.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm