Question

If the mean of the following frequency distribution is 7.2find value of k

Answer 1

Step-by-step explanation:

Mean of such ungrouped data is given by

Mean of such ungrouped data is given by⇒

Mean of such ungrouped data is given by⇒⇒

Mean of such ungrouped data is given by⇒⇒[∵ Mean = 7.2]

Mean of such ungrouped data is given by⇒⇒[∵ Mean = 7.2]⇒ 7.2(40 + K) = 260 + 10K

Mean of such ungrouped data is given by⇒⇒[∵ Mean = 7.2]⇒ 7.2(40 + K) = 260 + 10K⇒ 288 + 7.2K = 260 + 10K

Mean of such ungrouped data is given by⇒⇒[∵ Mean = 7.2]⇒ 7.2(40 + K) = 260 + 10K⇒ 288 + 7.2K = 260 + 10K⇒ 10K – 7.2K = 288 – 260

Mean of such ungrouped data is given by⇒⇒[∵ Mean = 7.2]⇒ 7.2(40 + K) = 260 + 10K⇒ 288 + 7.2K = 260 + 10K⇒ 10K – 7.2K = 288 – 260⇒ 2.8K = 28

Mean of such ungrouped data is given by⇒⇒[∵ Mean = 7.2]⇒ 7.2(40 + K) = 260 + 10K⇒ 288 + 7.2K = 260 + 10K⇒ 10K – 7.2K = 288 – 260⇒ 2.8K = 28⇒ K = 28/2.8

Mean of such ungrouped data is given by⇒⇒[∵ Mean = 7.2]⇒ 7.2(40 + K) = 260 + 10K⇒ 288 + 7.2K = 260 + 10K⇒ 10K – 7.2K = 288 – 260⇒ 2.8K = 28⇒ K = 28/2.8⇒ K = 10

Mean of such ungrouped data is given by⇒⇒[∵ Mean = 7.2]⇒ 7.2(40 + K) = 260 + 10K⇒ 288 + 7.2K = 260 + 10K⇒ 10K – 7.2K = 288 – 260⇒ 2.8K = 28⇒ K = 28/2.8⇒ K = 10Thus, K = 10.