Question

Construct a frequency distribution table for the following weights (in gm) of 30 oranges using the equal class intervals, one of them is 40-45. The weights are: 31, 41, 46, 33, 44, 51, 56, 63, 71, 71, 62, 63, 54, 53, 51, 43, 36, 38, 54, 56, 66, 71, 74, 75, 46, 47, 59, 60, 61, 63. (a) What is the class mark of the class intervals 50-55? (b) How many class intervals are there? (c) Which class interval has the lowest frequency?Construct a frequency distribution table for the following weights (in gm) of 30 oranges
using the equal class intervals, one of them is 40-45. The weights are: 31, 41, 46, 33, 44,
51, 56, 63, 71, 71, 62, 63, 54, 53, 51, 43, 36, 38, 54, 56, 66, 71, 74, 75, 46, 47, 59, 60,
61, 63.
(a) What is the class mark of the class intervals 50-55?
(b) How many class intervals are there?
(c) Which class interval has the lowest frequency?

Answer 1

Step-by-step explanation:

Given that:

Construct a frequency distribution table for the following weights (in gm) of 30 oranges using the equal class intervals, one of them is 40-45. The weights are: 31, 41, 46, 33, 44, 51, 56, 63, 71, 71, 62, 63, 54, 53, 51, 43, 36, 38, 54, 56, 66, 71, 74, 75, 46, 47, 59, 60, 61, 63.

To find:

(a) What is the class mark of the class intervals 50-55?

(b) How many class intervals are there?

(c) Which class interval has the lowest frequency?

Solution:

Frequency distribution table(Exclusive type)

For that tabulate the given data

$\begin{tabular}{|c|c|c|c|}\cline{1-3}Class\: Interval&Telly\:Marks& Frequency(f)\\\cline{1-3}30-35&ll&2\\\cline{1-3}35-40&ll&2\\\cline{1-3}40-45&lll&3\\\cline{1-3}45-50&lll&3\\\cline{1-3}50-55&lllll&5\\\cline{1-3}55-60&lll&3\\\cline{1-3}60-65&llllll&6\\\cline{1-3}65-70&l&1\\\cline{1-3}70-75&lllll&5\\\cline{1-3}Total&&30\\\cline{1-3}\end{tabular}$

(a) What is the class mark of the class intervals 50-55?

Ans:

$class \: mark \: (x_i) = \frac{lower \: limit + upper \: limit}{2} \\ \\ x_i = \frac{50 + 55}{2} \\ \\ \bold{x_i = 52.5}$

(b) How many class intervals are there?

Ans: 9

(c) Which class interval has the lowest frequency?

Ans:65-70

Hope it helps you.

Answer 2

Answer:(a)x=52.5(b)=9(c)65-70