Question

A study was conducted to find out the concentration of radium in air in part per million (ppm) in a certain city. The data obtained for 30 days are as follows :
0.03 0.08 0.08 0.09 0.04 0.17 0.16 0.05 0.02 0.06
0.15 0.16 0.12 0.06 0.09 0.13 0.22 0.09 0.08 0.02
0.12 0.08 0.08 0.19 0.12 0.08 0.06 0.08 0.02 0.08

(i) Make a grouped frequency distribution table for these data with class intervals as 0.00 - 0.04, 0.04 - 0.08 and so on.
(ii) For how many days, was the concentration of radium more than 0.11 parts per million ?

Answer 1

Answer:

10 days

Step-by-step explanation:

Range                 Frequency         less than cf    Greater than cf

0.00 - 0.04             4                             4                            30

0.04 - 0.08             5                             9                           26

0.08 - 0.12              11                            20                           21

0.12 - 0.16               5                             25                          10

0.16 - 0.20             4                             29                           5

0.20 - 0.24              1                            30                           1

the concentration of radium more than 0.11 parts per million = 30 - 20

= 10 days

or from grater than cumulative frequency ≥ 0.12 => > 0.1 = 10 days

Answer 2

Answer:

⠀⠀

$\underline{\:\large{\sf Answer \: \textit{1} :}}$

$\begin{tabular}{|c|c|}\cline{1-2}\sf Concentration of Sulphur dioxide & \sf Frequency \\\cline{1-2}\sf0.00 - 0.04 &\sf 4 \\\cline{1-2}\sf 0.04 - 0.08 &\sf 9 \\\cline{1-2}\sf 0.08 - 0.12 & \sf 9 \\\cline{1-2}\sf0.12 - 0.16 & \sf2\\\cline{1-2}\sf 0.16 - 0.20 & \sf4\\\cline{1-2}\sf 0.20 - 0.24 & \sf2\\\cline{1-2}\sf Total & \sf30 \\\cline{1-2}\end{tabular}$⠀

$\underline{\:\large{\sf Answer \: \textit{2} :}}$

Total number of days where the concentration of sulphur dioxide more than 0.11 is :

0.12 - 0. 16

0.16 - 0.20

0.20 - 0.24

$\star\:\boxed{\sf{\purple{Total \ number \ of \ Days \ is \ 2 + 4 + 2 = 8 \ days.}}}$

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀

$\qquad\qquad\bigstar\:\underline{\textsf{Some More Information \: :}}$

Statistics is used to collect any type of Data.

Data is the collection of observations. There are different types of Data.

In the statistics, Frequency is the representation of the number of occurrence of any event with the interval given.